From 3ac10a21ea5ab5ff72549f6f03980670ea8e7f06 Mon Sep 17 00:00:00 2001
From: pancetta <pancetta@users.noreply.github.com>
Date: Fri, 13 Sep 2024 11:14:12 +0000
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zK<>BydgDs*VR0W2Q5f$(-?(z6xXO}Lknb-j9Aw&*vK&e*oVPybAtLnSqc?k@z4Pf8
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zsFWmH<%f`o>~JPKeCJuEf4IE42D{oxAnUdcF>q_w?qpS+&qnZ|m?9;>@e!VjLMXLd
zn030-qt0kN#{D*5A|DS<`0J76AUqvSyhyMQ%2y@4SnHwPM}D(kz{{a4B+(;D^h$-j
zKizT1*9RS(`_R`T)VfF02~xNWhjU!_sJC#2$O40Wb*G*2d@8x{X08>{+|}ULI(VQb
zgX$3erl+F-q4>fp^j5amnLU%!hWR;|>U?~iF1MHD)9s!8BV3j9Y4+zwCx0v9$_8o?
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z%_*x5mN$#LfWDcLV@=L&4ScUC0Q{2-ur*}@Nc5FF;B~4l^_>b>gOL!fNrr9XF6*=s
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zos}LPY~S{eN=-&G<Uz)j*Msnwa5*{NV?Q}~WrjRFxcOHk-0KWF`}4!YmvV1pu~13z
zAVniD9%VWso(?9+TLgnnZ`6}FZe2noR}~FIK$NZjWQ5#!c>joUIbOuo+~^wstui6k
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zlWEIp43fzuWCMB$tIe7I8bwRUHvHlck5)^V5HRc_=EHh!+NlWmJC-coF0NBn$N(G8
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E0Z2vH=>Px#

diff --git a/.doctrees/projects/Hamiltonian.doctree b/.doctrees/projects/Hamiltonian.doctree
index 36e1664fd247b16021acfd5af7ac6ce794d4f0ec..d8bc740cc7d723e3653d549aee16c5cc6f7508f4 100644
GIT binary patch
delta 33
mcmbO{mu2!?mJO%>v6!117;HZOPm&SLntcAB_*Q1d348$T8Vv3L

delta 33
mcmbO{mu2!?mJO%>u^3vInQuP-Pm&SLntcAB_*Q1d348$T_6+_2

diff --git a/.doctrees/projects/doc_fput.doctree b/.doctrees/projects/doc_fput.doctree
index e32aace2f3e08147cb23ed26f8e67a43b221a761..89e2dac6c775fbdd993ddfc9ac5035cc85a984b7 100644
GIT binary patch
delta 37
kcmdnClyTcq#tmVvEav7029y6Ai*C+$Wno0{dfc>l0R8R^g8%>k

delta 37
kcmdnClyTcq#tmVvEQS_l=9B*$i*C+$Wno0{dfc>l0RHL>lK=n!

diff --git a/.doctrees/tutorial/doc_step_2_C.doctree b/.doctrees/tutorial/doc_step_2_C.doctree
index ae3c4219326bd443d1d142d4e84dfe5ad1199bf8..609a09e071657f8446e15a938f38eea095730e20 100644
GIT binary patch
delta 1480
zcmeH`&q_i;6vnZYAe0goh^DKOvbu9;?w^rFT!sBnFj1sUPY^^KH-Wl~Hsa?p@)d&X
zvZZT%gz7O`+1zWJIr;?Q_WREFn=@z53@4%CB=r86*kU}xjJzfD%*k=fM6r<aMv3~y
z3gZyDRE6qZvG5Y6qM{t3vfo~%4-T$~Y$J9)CYr=|wu@1g>$=UAPHJsCsGZmL@KcVH
z`UU6hf^Zx&$jn3%PnWxT#<2qLK1VZdphp@>TpyE+yWmZg7d@e#&+DMyOyRjgJ)haZ
zX;o}$4<YfTu74-fxHZU?q=lH(9Wc_JbbVP(EQwF1pCSwvcxN>|Ba8rr`I7FUbfZsM
zumxi#2!jd59&6nTh7#)`(%`ym;-OkbluJyPt*C0g-_*w-Oa<zy>7?=D#&sC~gSl!-
gB;{Kfv|DxT<hS*=T`#!$<?97E{=tHK?bd7f7q(J^$p8QV

delta 1482
zcmeH`&q@MO6vnZYAe0goh?A|#%xbQ8{#qigLaGraF{I5rKm^fdR^qgaHsR+o@DU2e
zWlPug2+?D-s<|_5?x`0D+<xCVzjN-#x#L-CJWIXY7FJYylWBF%>&&bgOhvPygp)#d
zi5M(0DyS+B)x&1vAx*`oco)u=|Cc`6J|(h_-0^f-UIZ=H#&gBSq|9ZjhMP`+Ls!9I
zXI&=MG<=i;e7PI=Z0BiPLcEe?9@D%NO(yY#bY0~{H{%JJUJ++|WV)ut-aPWM`_vP>
zAs#Oj+&k10%pndsWCvaFhVbkXE>-dx9a;Tu#K?BKiJTrpkrnaI$P`13y(5>zX$Vpj
z89^B)TIW;w@n(W}(@3q!BQ&iw;&GWCskIWu{Fg2mA|MiiB{(9S5?-ymypLtao@bLD
eTLf2v-|u3rzAE=DF8t@KFE0GwUwG*EpVHq+9)H~c

diff --git a/.doctrees/tutorial/doc_step_3_B.doctree b/.doctrees/tutorial/doc_step_3_B.doctree
index ce44045ea3c856761722e3242ee8d8402444c94f..ed8fd5dc6cb227fa10e0b9f650fc5c642c4a9e74 100644
GIT binary patch
delta 826
zcmeyhmhsnG#tp*C{D#H~h6YxqmR5%5I+hmZn}1srGNB7juC}hg5aZU@-mGi$jU7$G
zVlubB&g3|kaxCJ=VwO54#zvDT>Tf|(2NJUYiZxDN=Vr`@a2ZhCWOAc-)8rY3#;D3o
zK}IxAjy6IUw*-sJ8Ka4tnSsT3d7_D%L(Hl5LKlaa<KT@ZZUHez%M4B25@b%p<Tqv}
zsP41`nbR<Ny*aA5sR2m6{Nz`@>MW*)#axpwh-pl=^(&ox(?S@@fYF$lJQ!kTv#sA=
F4ggvD*{}cr

delta 824
zcmeyhmhsnG#tp*C{05c^h9*|V##V+FI!2~un}1srGNB7juC}hg5aZU@-mGi$jU9`G
z&g3|kaxCJ=VwO5)h6a-->Tf|(2NE*}iZxDN=Vpv5Ze#)$pJ9k5Zfpn^k2XRVw*ZUF
z8Ka4tn1aQ3d7_D%Ld>c4LKlaa<KT@ZZU!+&%gmS;5rRPXPgXQ(n*7Gh1l9HCmOxt@
zCa*U~6Sn}_DnI#^uR4o~aWU8A3t}3RZT(6o-?R`$GGH`f8Yd5Y#B8?p+sgp}`cv2v

diff --git a/.doctrees/tutorial/doc_step_4_D.doctree b/.doctrees/tutorial/doc_step_4_D.doctree
index 7b77681193a8bff4f6f33474c66039aa2948fe0f..213659456fe0f16f013be24437dcfa0c81b1cca6 100644
GIT binary patch
delta 105
zcmdnkz__u2af6|;hNY2#g{7&9p@Ocif`WpXo~fm!shOFXIfQSnXJ%kzX>4F@y!oQ3
P1k>a~QwvgbBya%$8O9hC

delta 119
zcmdnkz__u2af6|;x`mm6xsj2jiGr@Kf`WpXo{5=(v5~2zC4_ITXKHL|ZfR*cd84uM
W<o70#n`6v+87CK-T9BdfDklI7LLV>y

diff --git a/.doctrees/tutorial/doc_step_7_A.doctree b/.doctrees/tutorial/doc_step_7_A.doctree
index d60de935296d4e5c4263e17c949f384cea338694..829293c4060adec224e8f9500e0f2b5d7df3d77b 100644
GIT binary patch
delta 179
zcmcb!j`7Yq#tj_y%%+AWo7cOWFftn(8cuF-6xsaCLyeKe*u>CmbAzK9Ba@NI<aO?{
zn=8G=7+DNV&CNk-Cjau_pIqs!J=xafHBivPbn^vY3!t>2q4DMnHy1{#8_MG!zyScl
CNjDGx

delta 181
zcmcb!j`7Yq#tj_y%;pBho7cOWFfyB)8%=I-6xsaCLyeKe#L&!ObAzK9BeR)-<>dA5
zGMg*C#TZ!(jV&xdiYEW^;GbOStv%V+<uy>y%w+QgUki}5x!L9nHy5B`)HapJKY#-O
DEcG|0

diff --git a/.doctrees/tutorial/doc_step_7_B.doctree b/.doctrees/tutorial/doc_step_7_B.doctree
index e02640d97d866dc343086d075064e87dbd13185f..e2133a444f3f4917ded9b0620a604b05ddf66c75 100644
GIT binary patch
delta 149
zcmaFf!}z?1al<<UW<w*h%^wZ)7+DO=OpPWtnrJU>uw-O0vNSUUaV9rdYE8arb)DJ3
n)N*s9i9RE<iG?XpB5bm??F|+)14GNrPtB|uDK|yjE`S37Z5A(m

delta 155
zcmaFf!}z?1al<<UCKJoafyNS>tt`YDSqu%#OeQy)XfJNCWMnZmF|+`2CO24WO}=S$
qo!QXbY;&WDJ|nZCnGsMTY_hfO4Hi>#OXJN?&8!)zVvx9900#g9w=eAg

diff --git a/.doctrees/tutorial/doc_step_7_C.doctree b/.doctrees/tutorial/doc_step_7_C.doctree
index a912610a0f7cff05ebb23cb03350ac2b402b37be..d42543990e543a4fa03da7253e60316e28e5401f 100644
GIT binary patch
delta 119
zcmX>)o$=^&#tlB^Y({z}W|qd2KiX(be(S)#dA+p_BSOr0^AC$=CT2?%1@?>}fz2On
lCNMD>S^#xwZeC+A%E)AB3NmH$TL%Ro8(rLZbCa_(2LJ$?Djfg-

delta 119
zcmX>)o$=^&#tlB^Y=(N~CKl$CKiX(be(S)#dA+p_BSOr0^AC$=CT0smOC$yMj39x{
nA8jTuF&UWxB{Vm$u@_}zGBN@w+Wgi*0mw!dH{RUj?92fG0A(r_

diff --git a/.doctrees/tutorial/doc_step_7_D.doctree b/.doctrees/tutorial/doc_step_7_D.doctree
index 6dce5cf8f2028d631c4c4aa17b05fbe0ce5a3658..1b28ea3252177150c14d6507b2ec3e882f432fb5 100644
GIT binary patch
delta 576
zcmeH@KS~2p5XK=qmL(Qu4YCpt3@LUu$&T~(y?K9vMFcBF!4rr@TEVmmIm8^m8$>};
z<_H$vKr0&$;b<&9g6+pQ-|xq)=BxSBe$n<2qt>$;4ZjxyJ}t7OfvAc2x(JB|XD#ya
zFz3a%!!P43i4f2@Ui?OP&`piAIIDHTQ|$A!%#;Ql<$jkR>m9x?yQvS2G|=*8wP83w
zD~#7NBnBu-eY=_{+0lGng{=tQpqEYC=G%VGOXw*9lb96zS!E(d!3JUEe07-dS<y)d
zNR#1*pJ<@SH6)f3<((#84=1T@qWhi{%^n}%o-*JgAE9q)&o?9A!pKXcP5d@G`Txz|
Kzj^+^i}VX>_mxKg

delta 594
zcmeH@F-ikL7=<CM%aRmk5+orY8dA(|lAX-_J2N}8SVXW=6g+`iq!mpq<Ph&3K?o^5
zf`vEG%Em)DtLeRf?c;yn`}nuZ?eh7MH%VBsc9F{hAAE#!&SE9B^BQ;D#ZE|9dYq1X
zSWVk_owB$P&N+$IE^6g0FpTwjkt@Pn4lz$zVuUdPYH^*7@RW8FGQJM<Pf)LDA;}eZ
zOI=JtTawt%sz|G_e3`kH5z2cNn7WC_VGnCDh)O|aC>-Eu*1=cC_DHCJxaED^%or|s
zJGd)t{O+iWhgl~gTh_W&WNfIvjH`sK3NA_q+X0ScKMF1uC$emi!u_OdD2cT+zw!Iz
O?EguBJZbYOuaa*bcbKC9

diff --git a/.doctrees/tutorial/doc_step_8_C.doctree b/.doctrees/tutorial/doc_step_8_C.doctree
index 830f01f36cb5989bfba2ffa3c71ca28617510f3f..8b11c251c243247d0ff88b14f0517583a5985386 100644
GIT binary patch
delta 351
zcmZ3tiD|<oCYA=)sj3@U<g;0B2{ABCHfW67oK+XcBxr18YGP_+U}^~h=B5T_lNH+&
zHd{1qW#Tt6HMTG?HwH_YT9^YRwrxIJ7|+CSWNdC^Y+-5y(qd+Av{|8Dlv%*c(7@Q#
zz{tc5Bx+%53{;*t`BZPn=3ia$OajK{rsgJw#wK7bKqg3b^Qqp=OhA1=qfCrU3_!rh
T7^E*^QXR)oaOUQx6FfNpnpkD7

delta 342
zcmdn6iD}&?CYA=)smdE!<g*!XZsw}n&m>@CWNK_|X=rX_2?FM3lM~AmHd{4rW#TtB
zGdD3dH#0E+0z(5+phV*4_?9h90)~d>h9(B)mS72U3nP%s<oK4*%{SZQm;_ACjSLJe
zOf4Y>nwoD;EEi!GFtRi^u`o0P>oEYbfqJ%XR_Kcds<$vOG&3+Z1>0|A1hOZBb4mt#
S?34__h{5d0&Ce%zasU93CSt1q

diff --git a/.doctrees/tutorial/step_2.doctree b/.doctrees/tutorial/step_2.doctree
index 3c3aa148efb33f3371568096879f888f05c3257c..31a2f834637c4f9f4518f1420449d32926f88fae 100644
GIT binary patch
delta 1586
zcmeH{y-UMT6va`gibHjgP-tmqEz%?}P18ZT7Qv~5lkFzzV4cK4Xxv<E;LKGsOGD|0
zNI|KqEt;TWYd>};{RafogbMG`|G=*IaDMOHd$})X&E%|^l5w%fiy=M|my|d!heb)i
z(siJs-KVC<2rCFYY>ug~R=)Ji{1_pO#N*MJI$MiEH&v8&JxJ6zd^S18qd2<O61`N~
zD5g3|WJ?MPMUl2dU1Y{!>n`eQ&x66!8tst<=b1*^kK1P^f-E^&+GHZg(2Y}QbwAcE
z#u9UJ+P(+gE{BaWt4la6SLu#oHcrKPFNm|3Wm-~TwNwNTW^qzwf-4fNUJl={gth2K
z66S{jt>uUL#!)hf*hE(@6#eMm(D_KjrKXJ_w%+M5wsk~yC&|IrX6XDMz0szZKzQQh
z-8KWb>@ctLvZLkebT34JRj<+c1$+G}nq5MzkqASAihPe=6%lR1Xn;Os`%FtiIfS3P
Z9f~%&2>UQ67vcPl|MenLmAS$3!Y>Rd2}b|`

delta 1602
zcmeH{Jx{`56orGPXdKXmG$eq`N(iNewoI(V#EHR8HY1vVlW{NsHYZ5VjKFMY2p`4}
zHMk1V5@Q7U*q!_ZCcd>@-WUFXtoQUj_uSLoW(TX;!D?N*-VCZfL5hlERFM4<A&9LT
zPqX-#SYZT#2s`jR?JubBHovRM^#y_-vFGyzb+#5pRnMV*%pun1@zvuUv@2BfJc@mh
zMumjGwo*-`9}mGciX&53k<{iSgH%azn7ssOnrPCxLpSbT83Uq4JY`yBVxUD2moVs<
z!;2>z9Ah4P4TdIJGzGn}2aYCBQzaQ^jT{OSFRtF4G(Bw56>O*NxNHSj**3~sIWp^o
zWeg@+6#5?M?~I`cq2^JlxiP(+lMG@~^WxycN&AeL#B$0`!sOu^GOa`=)b5aZ1*F`M
zL;qB9sJl@fG26?;jN!8*(W@zh)}AX7QsrJnf6ROuia{|lWQHrKYG#Ws&5`_E$V{1t
gRWitjpNAuQ+vQ~}FN69iMaUKZ&&x<O*Jc+Rzi{9Sl>h($

diff --git a/.doctrees/tutorial/step_3.doctree b/.doctrees/tutorial/step_3.doctree
index 333422df1720fd50ae5cbe3702cd03932c2f1525..89ab64c96c7d550d9cc050ed97c0cd0093b81d7e 100644
GIT binary patch
delta 812
zcmZoV!rXL(d4p9szoD^$p@EgDrIn$%j-`e9<bW#K&Gx+^OjsneCZFl|Ll@s1P^HL$
zCTKCap=mJ|F`dbA&E81jmO3WJMw2Jb+=3=%F`2Qgaq^!QV^nbyQ?U5{Ry1)_BcM2%
z8K#zCwQ_UO)S8)r#W^~Rc@aJbx?}RhuBOSSI!sV)G>4ed*NJ9|1;iAs1!&@yAeS^u
xezO4097~Wn4U^X|L=`tR0I8RsY|*36WNJ7$v1b#K^`p@-;L$OE^UXz?_5gyU-IV|U

delta 812
zcmZoV!rXL(d4p9szk#KKp^25Tv6Z2Pj*+R^<bW#K&Gx+^OjsneCZFl|Ll@s1P^HL$
zE;zZNX)zWtoyl>{-bmt>I%b9jlPAvHf+l7@nX#>L@}CxCRB<B{u=xH~G;w1?pg5Wt
z#ui|;a&yttnwWycIXck9O+jWfPCktx4l$>%6HUDt#2l>!#=M9S1o~&P;=HEGZx)!K
uy4>6nXnMos^$XF&EkL%)Pqye$XEHIKoY=DoN!w_240v?R-+XhCrab_#DcqL;

diff --git a/.doctrees/tutorial/step_4.doctree b/.doctrees/tutorial/step_4.doctree
index 5e515eeadeb4b5f11a4198ea45cb6f142c30367f..3a548727eca7ac59a5a81105228d7f8c95bbe64f 100644
GIT binary patch
delta 122
zcmeBs$=vsnc|-P74ND^f3rkZILj_%31qB5&JyT0dQ!_I&a|qvD&&<Hc(%8V*cyhpV
Z<H;XhL~NFOc9fAEUA>H(m0x9Z0RVCKB%lBQ

delta 120
zcmeBs$=vsnc|-P7bqg~Cb0Z^569rve1qB5&JrgqnV<S^bO9<aw&(zq`+|tr?vj20F
Y$sb-sY?ga=l#vWgy^NccUuAOv064BBN&o-=

diff --git a/.doctrees/tutorial/step_7.doctree b/.doctrees/tutorial/step_7.doctree
index 2a1850eb03ddd11bb1faa76187fd9d42ab832d0f..262dea3ecf68970fbed4b17cfd0c481b316f34ad 100644
GIT binary patch
delta 1001
zcmeHE&1#cD6y<*3m`ZUGTeSvUL|PE?GnqU8(?~^(OBIB+v}&*m7lQZ-+4um3Sq!)m
z4O(3kWdy<E8wjl{wYcyNA`}-|BF>kHKYQJ|ntRR}&N<w>Hza#Q^7PQfT%q)9t0&_2
z(s9TIVgl1~xO@tTkf=wfy)p|qmm;pMav)3@Q_z06T#hfV94i>BMofF98YiwDNDQKg
zw-!6_5ADm{%0iA@`}O{ezj^7X-|E-=^9Sz;(~8ISejNyR8k4-}k34*vGv$1BW65_O
zz0ajpvARKlXofCU@3-OaI9-1H;e3fxsh#k>{aWk}&cQD%;_jy>S?+!p8MR|9V)OHz
zEJGX5d|iMHRbk+}gNZozrIPSZKKAx^Xvt9L5X03L*hx+uDs`jDRJh)Pxv*7(atW!H
zl7(*wGhxtzlO;zj6FNL=j)}uz6Jd%7ojzTtgFc89-N<8y!ED&9!!$9Lv+$aw2u+zB
zMVOG}9}$8ohc29Lz&uGd7<vt`DaQzA!m9>ok}_3M!KOOON*hk|G%Ko5iSVYDnrw3@
zhr7)brZiVYyLn<XsxT-fnJyTbG&u=sT(~X3WN5-YnqKC@M*(WAOtql%e<y$J<V8io
G?&NpT*&%NL

delta 1023
zcmeH_&uUXa6vjFCUQ-D!qP4~>)IbVCk~^81JAWIANaIokp)HLzv<nx4_zKzh0EJl`
za3vbFx)5aq!QvYTtt)GB;TuFKF0=%ln}T)YPIs<`?|07kox@@F#>w6|d2#G&q^Vo&
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diff --git a/_modules/implementations/datatype_classes/cupy_mesh.html b/_modules/implementations/datatype_classes/cupy_mesh.html
index fed3f5bd23..4c592f9841 100644
--- a/_modules/implementations/datatype_classes/cupy_mesh.html
+++ b/_modules/implementations/datatype_classes/cupy_mesh.html
@@ -38,7 +38,6 @@ <h3>Navigation</h3>
             
   <h1>Source code for implementations.datatype_classes.cupy_mesh</h1><div class="highlight"><pre>
 <span></span><span class="kn">import</span> <span class="nn">cupy</span> <span class="k">as</span> <span class="nn">cp</span>
-<span class="kn">from</span> <span class="nn">pySDC.core.errors</span> <span class="kn">import</span> <span class="n">DataError</span>
 
 <span class="k">try</span><span class="p">:</span>
     <span class="kn">from</span> <span class="nn">mpi4py</span> <span class="kn">import</span> <span class="n">MPI</span>
@@ -78,6 +77,7 @@ <h1>Source code for implementations.datatype_classes.cupy_mesh</h1><div class="h
         <span class="p">):</span>
             <span class="n">obj</span> <span class="o">=</span> <span class="n">cp</span><span class="o">.</span><span class="n">ndarray</span><span class="o">.</span><span class="fm">__new__</span><span class="p">(</span><span class="bp">cls</span><span class="p">,</span> <span class="n">init</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">dtype</span><span class="o">=</span><span class="n">init</span><span class="p">[</span><span class="mi">2</span><span class="p">],</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
             <span class="n">obj</span><span class="o">.</span><span class="n">fill</span><span class="p">(</span><span class="n">val</span><span class="p">)</span>
+            <span class="bp">cls</span><span class="o">.</span><span class="n">comm</span> <span class="o">=</span> <span class="n">init</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
         <span class="k">else</span><span class="p">:</span>
             <span class="k">raise</span> <span class="ne">NotImplementedError</span><span class="p">(</span><span class="nb">type</span><span class="p">(</span><span class="n">init</span><span class="p">))</span>
         <span class="k">return</span> <span class="n">obj</span>
diff --git a/_modules/implementations/sweeper_classes/Runge_Kutta.html b/_modules/implementations/sweeper_classes/Runge_Kutta.html
index acc2b62565..f47b58234e 100644
--- a/_modules/implementations/sweeper_classes/Runge_Kutta.html
+++ b/_modules/implementations/sweeper_classes/Runge_Kutta.html
@@ -78,17 +78,24 @@ <h1>Source code for implementations.sweeper_classes.Runge_Kutta</h1><div class="
         <span class="k">elif</span> <span class="nb">len</span><span class="p">(</span><span class="n">nodes</span><span class="p">)</span> <span class="o">!=</span> <span class="n">matrix</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]:</span>
             <span class="k">raise</span> <span class="n">ParameterError</span><span class="p">(</span><span class="sa">f</span><span class="s1">&#39;Incompatible number of nodes! Need </span><span class="si">{</span><span class="n">matrix</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="si">}</span><span class="s1">, got </span><span class="si">{</span><span class="nb">len</span><span class="p">(</span><span class="n">nodes</span><span class="p">)</span><span class="si">}</span><span class="s1">&#39;</span><span class="p">)</span>
 
-        <span class="c1"># Set number of nodes, left and right interval boundaries</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">num_solution_stages</span> <span class="o">=</span> <span class="mi">1</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">=</span> <span class="n">matrix</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">num_solution_stages</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">globally_stiffly_accurate</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">allclose</span><span class="p">(</span><span class="n">matrix</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="n">weights</span><span class="p">)</span>
+
         <span class="bp">self</span><span class="o">.</span><span class="n">tleft</span> <span class="o">=</span> <span class="mf">0.0</span>
         <span class="bp">self</span><span class="o">.</span><span class="n">tright</span> <span class="o">=</span> <span class="mf">1.0</span>
-
-        <span class="bp">self</span><span class="o">.</span><span class="n">nodes</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="mi">0</span><span class="p">],</span> <span class="n">nodes</span><span class="p">),</span> <span class="p">[</span><span class="mi">1</span><span class="p">])</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">num_solution_stages</span> <span class="o">=</span> <span class="mi">0</span> <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">globally_stiffly_accurate</span> <span class="k">else</span> <span class="mi">1</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">=</span> <span class="n">matrix</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">num_solution_stages</span>
         <span class="bp">self</span><span class="o">.</span><span class="n">weights</span> <span class="o">=</span> <span class="n">weights</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">Qmat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">([</span><span class="bp">self</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">])</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">Qmat</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">matrix</span>
-        <span class="bp">self</span><span class="o">.</span><span class="n">Qmat</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">weights</span>  <span class="c1"># this is for computing the solution to the step from the previous stages</span>
+
+        <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">globally_stiffly_accurate</span><span class="p">:</span>
+            <span class="c1"># For globally stiffly accurate methods, the last row of the Butcher tableau is the same as the weights.</span>
+            <span class="bp">self</span><span class="o">.</span><span class="n">nodes</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="mi">0</span><span class="p">],</span> <span class="n">nodes</span><span class="p">)</span>
+            <span class="bp">self</span><span class="o">.</span><span class="n">Qmat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">([</span><span class="bp">self</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">])</span>
+            <span class="bp">self</span><span class="o">.</span><span class="n">Qmat</span><span class="p">[</span><span class="mi">1</span><span class="p">:,</span> <span class="mi">1</span><span class="p">:]</span> <span class="o">=</span> <span class="n">matrix</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="bp">self</span><span class="o">.</span><span class="n">nodes</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="mi">0</span><span class="p">],</span> <span class="n">nodes</span><span class="p">),</span> <span class="p">[</span><span class="mi">1</span><span class="p">])</span>
+            <span class="bp">self</span><span class="o">.</span><span class="n">Qmat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">([</span><span class="bp">self</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">])</span>
+            <span class="bp">self</span><span class="o">.</span><span class="n">Qmat</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">matrix</span>
+            <span class="bp">self</span><span class="o">.</span><span class="n">Qmat</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">weights</span>  <span class="c1"># this is for computing the solution to the step from the previous stages</span>
 
         <span class="bp">self</span><span class="o">.</span><span class="n">left_is_node</span> <span class="o">=</span> <span class="kc">True</span>
         <span class="bp">self</span><span class="o">.</span><span class="n">right_is_node</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">nodes</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">==</span> <span class="bp">self</span><span class="o">.</span><span class="n">tright</span>
@@ -341,7 +348,7 @@ <h1>Source code for implementations.sweeper_classes.Runge_Kutta</h1><div class="
                 <span class="n">rhs</span> <span class="o">+=</span> <span class="n">lvl</span><span class="o">.</span><span class="n">dt</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">QI</span><span class="p">[</span><span class="n">m</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="n">j</span><span class="p">]</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">get_full_f</span><span class="p">(</span><span class="n">lvl</span><span class="o">.</span><span class="n">f</span><span class="p">[</span><span class="n">j</span><span class="p">])</span>
 
             <span class="c1"># implicit solve with prefactor stemming from the diagonal of Qd, use previous stage as initial guess</span>
-            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">coll</span><span class="o">.</span><span class="n">implicit</span><span class="p">:</span>
+            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">QI</span><span class="p">[</span><span class="n">m</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="n">m</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">:</span>
                 <span class="n">lvl</span><span class="o">.</span><span class="n">u</span><span class="p">[</span><span class="n">m</span> <span class="o">+</span> <span class="mi">1</span><span class="p">][:]</span> <span class="o">=</span> <span class="n">prob</span><span class="o">.</span><span class="n">solve_system</span><span class="p">(</span>
                     <span class="n">rhs</span><span class="p">,</span> <span class="n">lvl</span><span class="o">.</span><span class="n">dt</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">QI</span><span class="p">[</span><span class="n">m</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="n">m</span> <span class="o">+</span> <span class="mi">1</span><span class="p">],</span> <span class="n">lvl</span><span class="o">.</span><span class="n">u</span><span class="p">[</span><span class="n">m</span><span class="p">],</span> <span class="n">lvl</span><span class="o">.</span><span class="n">time</span> <span class="o">+</span> <span class="n">lvl</span><span class="o">.</span><span class="n">dt</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">coll</span><span class="o">.</span><span class="n">nodes</span><span class="p">[</span><span class="n">m</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span>
                 <span class="p">)</span>
diff --git a/coverage/class_index.html b/coverage/class_index.html
index 46c40dc514..7b644d92d7 100644
--- a/coverage/class_index.html
+++ b/coverage/class_index.html
@@ -55,7 +55,7 @@ <h2>
         </h2>
         <p class="text">
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
     </div>
 </header>
@@ -889,12 +889,12 @@ <h2>
                 <td class="right" data-ratio="5 5">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t10">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
-                <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t10"><data value='cupy_mesh'>cupy_mesh</data></a></td>
-                <td>26</td>
-                <td>8</td>
+                <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t9">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
+                <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t9"><data value='cupy_mesh'>cupy_mesh</data></a></td>
+                <td>27</td>
+                <td>6</td>
                 <td>1</td>
-                <td class="right" data-ratio="18 26">69%</td>
+                <td class="right" data-ratio="21 27">78%</td>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t121">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
@@ -907,10 +907,10 @@ <h2>
             <tr class="region">
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
-                <td>23</td>
+                <td>22</td>
                 <td>2</td>
                 <td>0</td>
-                <td class="right" data-ratio="21 23">91%</td>
+                <td class="right" data-ratio="20 22">91%</td>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_3017878c2b4bc866_fenics_mesh_py.html#t6">pySDC/implementations/datatype_classes/fenics_mesh.py</a></td>
@@ -2475,102 +2475,102 @@ <h2>
             <tr class="region">
                 <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t10">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
                 <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t10"><data value='ButcherTableau'>ButcherTableau</data></a></td>
-                <td>24</td>
-                <td>1</td>
+                <td>29</td>
+                <td>0</td>
                 <td>8</td>
-                <td class="right" data-ratio="23 24">96%</td>
+                <td class="right" data-ratio="29 29">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t66">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t66"><data value='ButcherTableauEmbedded'>ButcherTableauEmbedded</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t73">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t73"><data value='ButcherTableauEmbedded'>ButcherTableauEmbedded</data></a></td>
                 <td>25</td>
                 <td>1</td>
                 <td>8</td>
                 <td class="right" data-ratio="24 25">96%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t125">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t125"><data value='RungeKutta'>RungeKutta</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t132">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t132"><data value='RungeKutta'>RungeKutta</data></a></td>
                 <td>60</td>
                 <td>9</td>
                 <td>2</td>
                 <td class="right" data-ratio="51 60">85%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t346">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t346"><data value='RungeKuttaIMEX'>RungeKuttaIMEX</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t353">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t353"><data value='RungeKuttaIMEX'>RungeKuttaIMEX</data></a></td>
                 <td>33</td>
                 <td>8</td>
                 <td>0</td>
                 <td class="right" data-ratio="25 33">76%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t509">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t509"><data value='Heun_Euler'>Heun_Euler</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t516">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t516"><data value='Heun_Euler'>Heun_Euler</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t522">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t522"><data value='Cash_Karp'>Cash_Karp</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t529">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t529"><data value='Cash_Karp'>Cash_Karp</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t536">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t536"><data value='DIRK43'>DIRK43</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t543">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t543"><data value='DIRK43'>DIRK43</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t572">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t572"><data value='ESDIRK53'>ESDIRK53</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t579">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t579"><data value='ESDIRK53'>ESDIRK53</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t587">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t587"><data value='ESDIRK43'>ESDIRK43</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t594">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t594"><data value='ESDIRK43'>ESDIRK43</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t602">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t602"><data value='ARK548L2SAERK'>ARK548L2SAERK</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t609">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t609"><data value='ARK548L2SAERK'>ARK548L2SAERK</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t625">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t625"><data value='ARK54'>ARK54</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t632">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t632"><data value='ARK54'>ARK54</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t644">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t644"><data value='ARK548L2SAESDIRK2'>ARK548L2SAESDIRK2</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t651">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t651"><data value='ARK548L2SAESDIRK2'>ARK548L2SAESDIRK2</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t669">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t669"><data value='ARK548L2SA'>ARK548L2SA</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t676">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t676"><data value='ARK548L2SA'>ARK548L2SA</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
@@ -5365,10 +5365,10 @@ <h2>
             <tr class="total">
                 <td class="name left">Total</td>
                 <td class="name left">&nbsp;</td>
-                <td>25981</td>
-                <td>5713</td>
+                <td>25986</td>
+                <td>5710</td>
                 <td>4994</td>
-                <td class="right" data-ratio="20268 25981">78%</td>
+                <td class="right" data-ratio="20276 25986">78%</td>
             </tr>
         </tfoot>
     </table>
@@ -5381,7 +5381,7 @@ <h2>
     <div class="content">
         <p>
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
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+            created at 2024-09-13 11:13 +0000
         </p>
     </div>
     <aside class="hidden">
diff --git a/coverage/coverage-badge.svg b/coverage/coverage-badge.svg
index 3830e2928a..1a2e9f0ce7 100644
--- a/coverage/coverage-badge.svg
+++ b/coverage/coverage-badge.svg
@@ -1 +1 @@
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+<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="114" height="20" role="img" aria-label="coverage: 78.03%"><title>coverage: 78.03%</title><linearGradient id="s" x2="0" y2="100%"><stop offset="0" stop-color="#bbb" stop-opacity=".1"/><stop offset="1" stop-opacity=".1"/></linearGradient><clipPath id="r"><rect width="114" height="20" rx="3" fill="#fff"/></clipPath><g clip-path="url(#r)"><rect width="61" height="20" fill="#555"/><rect x="61" width="53" height="20" fill="#97ca00"/><rect width="114" height="20" fill="url(#s)"/></g><g fill="#fff" text-anchor="middle" font-family="Verdana,Geneva,DejaVu Sans,sans-serif" text-rendering="geometricPrecision" font-size="110"><text aria-hidden="true" x="315" y="150" fill="#010101" fill-opacity=".3" transform="scale(.1)" textLength="510">coverage</text><text x="315" y="140" transform="scale(.1)" fill="#fff" textLength="510">coverage</text><text aria-hidden="true" x="865" y="150" fill="#010101" fill-opacity=".3" transform="scale(.1)" textLength="430">78.03%</text><text x="865" y="140" transform="scale(.1)" fill="#fff" textLength="430">78.03%</text></g></svg>
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diff --git a/coverage/function_index.html b/coverage/function_index.html
index c9cb1c49bc..174c13eb38 100644
--- a/coverage/function_index.html
+++ b/coverage/function_index.html
@@ -55,7 +55,7 @@ <h2>
         </h2>
         <p class="text">
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
     </div>
 </header>
@@ -2961,12 +2961,12 @@ <h2>
                 <td class="right" data-ratio="5 5">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t18">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
-                <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t18"><data value='new__'>cupy_mesh.__new__</data></a></td>
-                <td>7</td>
+                <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t17">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
+                <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t17"><data value='new__'>cupy_mesh.__new__</data></a></td>
+                <td>8</td>
                 <td>0</td>
                 <td>1</td>
-                <td class="right" data-ratio="7 7">100%</td>
+                <td class="right" data-ratio="8 8">100%</td>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t44">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
@@ -2980,9 +2980,9 @@ <h2>
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t57">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t57"><data value='abs__'>cupy_mesh.__abs__</data></a></td>
                 <td>8</td>
-                <td>4</td>
+                <td>2</td>
                 <td>0</td>
-                <td class="right" data-ratio="4 8">50%</td>
+                <td class="right" data-ratio="6 8">75%</td>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html#t78">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
@@ -3027,10 +3027,10 @@ <h2>
             <tr class="region">
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html">pySDC/implementations/datatype_classes/cupy_mesh.py</a></td>
                 <td class="name left"><a href="z_3017878c2b4bc866_cupy_mesh_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
-                <td>23</td>
+                <td>22</td>
                 <td>2</td>
                 <td>0</td>
-                <td class="right" data-ratio="21 23">91%</td>
+                <td class="right" data-ratio="20 22">91%</td>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_3017878c2b4bc866_fenics_mesh_py.html#t14">pySDC/implementations/datatype_classes/fenics_mesh.py</a></td>
@@ -7803,206 +7803,206 @@ <h2>
             <tr class="region">
                 <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t11">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
                 <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t11"><data value='init__'>ButcherTableau.__init__</data></a></td>
-                <td>24</td>
-                <td>1</td>
+                <td>29</td>
+                <td>0</td>
                 <td>8</td>
-                <td class="right" data-ratio="23 24">96%</td>
+                <td class="right" data-ratio="29 29">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t67">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t67"><data value='init__'>ButcherTableauEmbedded.__init__</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t74">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t74"><data value='init__'>ButcherTableauEmbedded.__init__</data></a></td>
                 <td>25</td>
                 <td>1</td>
                 <td>8</td>
                 <td class="right" data-ratio="24 25">96%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t157">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t157"><data value='init__'>RungeKutta.__init__</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t164">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t164"><data value='init__'>RungeKutta.__init__</data></a></td>
                 <td>14</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="14 14">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t195">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t195"><data value='get_Q_matrix'>RungeKutta.get_Q_matrix</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t202">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t202"><data value='get_Q_matrix'>RungeKutta.get_Q_matrix</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t199">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t199"><data value='get_Butcher_tableau'>RungeKutta.get_Butcher_tableau</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t206">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t206"><data value='get_Butcher_tableau'>RungeKutta.get_Butcher_tableau</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t211">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t211"><data value='get_full_f'>RungeKutta.get_full_f</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t218">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t218"><data value='get_full_f'>RungeKutta.get_full_f</data></a></td>
                 <td>7</td>
                 <td>1</td>
                 <td>1</td>
                 <td class="right" data-ratio="6 7">86%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t231">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t231"><data value='integrate'>RungeKutta.integrate</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t238">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t238"><data value='integrate'>RungeKutta.integrate</data></a></td>
                 <td>8</td>
                 <td>8</td>
                 <td>0</td>
                 <td class="right" data-ratio="0 8">0%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t254">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t254"><data value='update_nodes'>RungeKutta.update_nodes</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t261">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t261"><data value='update_nodes'>RungeKutta.update_nodes</data></a></td>
                 <td>16</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="16 16">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t296">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t296"><data value='compute_end_point'>RungeKutta.compute_end_point</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t303">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t303"><data value='compute_end_point'>RungeKutta.compute_end_point</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t303">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t303"><data value='level'>RungeKutta.level</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t310">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t310"><data value='level'>RungeKutta.level</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t313">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t313"><data value='level'>RungeKutta.level</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t320">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t320"><data value='level'>RungeKutta.level</data></a></td>
                 <td>5</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="5 5">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t329">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t329"><data value='predict'>RungeKutta.predict</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t336">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t336"><data value='predict'>RungeKutta.predict</data></a></td>
                 <td>6</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="6 6">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t354">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t354"><data value='init__'>RungeKuttaIMEX.__init__</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t361">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t361"><data value='init__'>RungeKuttaIMEX.__init__</data></a></td>
                 <td>3</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="3 3">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t365">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t365"><data value='predict'>RungeKuttaIMEX.predict</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t372">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t372"><data value='predict'>RungeKuttaIMEX.predict</data></a></td>
                 <td>7</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="7 7">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t383">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t383"><data value='get_Butcher_tableau_explicit'>RungeKuttaIMEX.get_Butcher_tableau_explicit</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t390">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t390"><data value='get_Butcher_tableau_explicit'>RungeKuttaIMEX.get_Butcher_tableau_explicit</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t386">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t386"><data value='integrate'>RungeKuttaIMEX.integrate</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t393">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t393"><data value='integrate'>RungeKuttaIMEX.integrate</data></a></td>
                 <td>8</td>
                 <td>8</td>
                 <td>0</td>
                 <td class="right" data-ratio="0 8">0%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t411">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t411"><data value='update_nodes'>RungeKuttaIMEX.update_nodes</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t418">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t418"><data value='update_nodes'>RungeKuttaIMEX.update_nodes</data></a></td>
                 <td>14</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="14 14">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t518">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t518"><data value='get_update_order'>Heun_Euler.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t525">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t525"><data value='get_update_order'>Heun_Euler.get_update_order</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t532">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t532"><data value='get_update_order'>Cash_Karp.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t539">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t539"><data value='get_update_order'>Cash_Karp.get_update_order</data></a></td>
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                 <td>0</td>
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-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t548">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t548"><data value='get_update_order'>DIRK43.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t555">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t555"><data value='get_update_order'>DIRK43.get_update_order</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
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-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t583">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t583"><data value='get_update_order'>ESDIRK53.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t590">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t590"><data value='get_update_order'>ESDIRK53.get_update_order</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
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             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t598">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t598"><data value='get_update_order'>ESDIRK43.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t605">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t605"><data value='get_update_order'>ESDIRK43.get_update_order</data></a></td>
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                 <td>0</td>
                 <td>0</td>
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             <tr class="region">
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t612">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t612"><data value='get_update_order'>ARK548L2SAERK.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t619">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t619"><data value='get_update_order'>ARK548L2SAERK.get_update_order</data></a></td>
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                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
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-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t640">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t640"><data value='get_update_order'>ARK54.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t647">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t647"><data value='get_update_order'>ARK54.get_update_order</data></a></td>
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-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t655"><data value='get_update_order'>ARK548L2SAESDIRK2.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t662">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t662"><data value='get_update_order'>ARK548L2SAESDIRK2.get_update_order</data></a></td>
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-                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t688"><data value='get_update_order'>ARK548L2SA.get_update_order</data></a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t695">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
+                <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html#t695"><data value='get_update_order'>ARK548L2SA.get_update_order</data></a></td>
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                 <td>0</td>
                 <td>0</td>
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             <tr class="total">
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-                <td>25981</td>
-                <td>5713</td>
+                <td>25986</td>
+                <td>5710</td>
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-                <td class="right" data-ratio="20268 25981">78%</td>
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     <div class="content">
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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     <aside class="hidden">
diff --git a/coverage/index.html b/coverage/index.html
index 53f0ed5d72..cdc139927e 100644
--- a/coverage/index.html
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         </h2>
         <p class="text">
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-            created at 2024-09-09 14:59 +0000
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                 <td>57</td>
-                <td>10</td>
+                <td>8</td>
                 <td>3</td>
-                <td class="right" data-ratio="47 57">82%</td>
+                <td class="right" data-ratio="49 57">86%</td>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_3017878c2b4bc866_fenics_mesh_py.html">pySDC/implementations/datatype_classes/fenics_mesh.py</a></td>
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             <tr class="region">
                 <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_py.html">pySDC/implementations/sweeper_classes/Runge_Kutta.py</a></td>
-                <td>281</td>
-                <td>19</td>
+                <td>286</td>
+                <td>18</td>
                 <td>18</td>
-                <td class="right" data-ratio="262 281">93%</td>
+                <td class="right" data-ratio="268 286">94%</td>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_b9c274c7ffe3e178_Runge_Kutta_Nystrom_py.html">pySDC/implementations/sweeper_classes/Runge_Kutta_Nystrom.py</a></td>
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         <tfoot>
             <tr class="total">
                 <td class="name left">Total</td>
-                <td>25981</td>
-                <td>5713</td>
+                <td>25986</td>
+                <td>5710</td>
                 <td>4997</td>
-                <td class="right" data-ratio="20268 25981">78%</td>
+                <td class="right" data-ratio="20276 25986">78%</td>
             </tr>
         </tfoot>
     </table>
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     <div class="content">
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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     <aside class="hidden">
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index 6a2bb68aea..8ec13aa6e0 100644
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_1ee527a4b5236415_C_using_pySDCs_frontend_py.html b/coverage/z_1ee527a4b5236415_C_using_pySDCs_frontend_py.html
index 19e1c44968..b97cc38445 100644
--- a/coverage/z_1ee527a4b5236415_C_using_pySDCs_frontend_py.html
+++ b/coverage/z_1ee527a4b5236415_C_using_pySDCs_frontend_py.html
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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@@ -167,7 +167,7 @@ <h2>
             <a class="nav" href="z_a25a81841eb75b92_A_getting_statistics_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
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diff --git a/coverage/z_1f4fced1df9318f0_default_hook_py.html b/coverage/z_1f4fced1df9318f0_default_hook_py.html
index be8e5f7996..57ab9e3ebe 100644
--- a/coverage/z_1f4fced1df9318f0_default_hook_py.html
+++ b/coverage/z_1f4fced1df9318f0_default_hook_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_1f4fced1df9318f0_log_embedded_error_estimate_py.html">&#xbb; next</a>
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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@@ -451,7 +451,7 @@ <h2>
             <a class="nav" href="z_1f4fced1df9318f0_log_embedded_error_estimate_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_1f4fced1df9318f0_log_embedded_error_estimate_py.html b/coverage/z_1f4fced1df9318f0_log_embedded_error_estimate_py.html
index e9912d020e..8f783bcab1 100644
--- a/coverage/z_1f4fced1df9318f0_log_embedded_error_estimate_py.html
+++ b/coverage/z_1f4fced1df9318f0_log_embedded_error_estimate_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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@@ -157,7 +157,7 @@ <h2>
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_1f4fced1df9318f0_log_errors_py.html b/coverage/z_1f4fced1df9318f0_log_errors_py.html
index 7e0c1664dd..2a7cdcfd45 100644
--- a/coverage/z_1f4fced1df9318f0_log_errors_py.html
+++ b/coverage/z_1f4fced1df9318f0_log_errors_py.html
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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@@ -319,7 +319,7 @@ <h2>
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_1f4fced1df9318f0_log_extrapolated_error_estimate_py.html b/coverage/z_1f4fced1df9318f0_log_extrapolated_error_estimate_py.html
index 1470b70b2f..7a39940671 100644
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+++ b/coverage/z_1f4fced1df9318f0_log_extrapolated_error_estimate_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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@@ -123,7 +123,7 @@ <h2>
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_1f4fced1df9318f0_log_restarts_py.html b/coverage/z_1f4fced1df9318f0_log_restarts_py.html
index 03af757a81..0628cc20f4 100644
--- a/coverage/z_1f4fced1df9318f0_log_restarts_py.html
+++ b/coverage/z_1f4fced1df9318f0_log_restarts_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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@@ -119,7 +119,7 @@ <h2>
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_1f4fced1df9318f0_log_solution_py.html b/coverage/z_1f4fced1df9318f0_log_solution_py.html
index d170e359df..93a824aa0d 100644
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+++ b/coverage/z_1f4fced1df9318f0_log_solution_py.html
@@ -65,7 +65,7 @@ <h2>
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -239,7 +239,7 @@ <h2>
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_1f4fced1df9318f0_log_step_size_py.html b/coverage/z_1f4fced1df9318f0_log_step_size_py.html
index 879674f177..dd526e9589 100644
--- a/coverage/z_1f4fced1df9318f0_log_step_size_py.html
+++ b/coverage/z_1f4fced1df9318f0_log_step_size_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -121,7 +121,7 @@ <h2>
             <a class="nav" href="z_1f4fced1df9318f0_log_work_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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     </div>
 </footer>
diff --git a/coverage/z_1f4fced1df9318f0_log_work_py.html b/coverage/z_1f4fced1df9318f0_log_work_py.html
index e62fe16cc3..eb7b6698b7 100644
--- a/coverage/z_1f4fced1df9318f0_log_work_py.html
+++ b/coverage/z_1f4fced1df9318f0_log_work_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -168,7 +168,7 @@ <h2>
             <a class="nav" href="z_91faa57f8583c837_AcousticAdvection_1D_FD_imex_py.html">&#xbb; next</a>
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_21a23c20069de70c_HookClass_pde_py.html b/coverage/z_21a23c20069de70c_HookClass_pde_py.html
index 5bb93e5a28..b444aeeeab 100644
--- a/coverage/z_21a23c20069de70c_HookClass_pde_py.html
+++ b/coverage/z_21a23c20069de70c_HookClass_pde_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_21a23c20069de70c_HookClass_post_iter_info_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -123,7 +123,7 @@ <h2>
             <a class="nav" href="z_21a23c20069de70c_HookClass_post_iter_info_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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     </div>
 </footer>
diff --git a/coverage/z_21a23c20069de70c_HookClass_post_iter_info_py.html b/coverage/z_21a23c20069de70c_HookClass_post_iter_info_py.html
index d333be9f7e..be5bfa58c9 100644
--- a/coverage/z_21a23c20069de70c_HookClass_post_iter_info_py.html
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@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
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@@ -123,7 +123,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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     </div>
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diff --git a/coverage/z_3017878c2b4bc866_cupy_mesh_py.html b/coverage/z_3017878c2b4bc866_cupy_mesh_py.html
index 59d75ee896..130e15c4bd 100644
--- a/coverage/z_3017878c2b4bc866_cupy_mesh_py.html
+++ b/coverage/z_3017878c2b4bc866_cupy_mesh_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/implementations/datatype_classes/cupy_mesh.py: 82%</title>
+    <title>Coverage for pySDC/implementations/datatype_classes/cupy_mesh.py: 86%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
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@@ -12,7 +12,7 @@
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         <h1>
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-            <span class="pc_cov">82%</span>
+            <span class="pc_cov">86%</span>
         </h1>
         <aside id="help_panel_wrapper">
             <input id="help_panel_state" type="checkbox">
@@ -55,8 +55,8 @@ <h1>
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-            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">47<span class="text"> run</span></button>
-            <button type="button" class="mis show_mis button_toggle_mis" value="mis" data-shortcut="m" title="Toggle lines missing">10<span class="text"> missing</span></button>
+            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">49<span class="text"> run</span></button>
+            <button type="button" class="mis show_mis button_toggle_mis" value="mis" data-shortcut="m" title="Toggle lines missing">8<span class="text"> missing</span></button>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">3<span class="text"> excluded</span></button>
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@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_3017878c2b4bc866_fenics_mesh_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -81,44 +81,44 @@ <h2>
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 <main id="source">
     <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">import</span> <span class="nam">cupy</span> <span class="key">as</span> <span class="nam">cp</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">core</span><span class="op">.</span><span class="nam">errors</span> <span class="key">import</span> <span class="nam">DataError</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">try</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">    <span class="key">from</span> <span class="nam">mpi4py</span> <span class="key">import</span> <span class="nam">MPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">except</span> <span class="nam">ImportError</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">    <span class="nam">MPI</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">try</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">    <span class="key">from</span> <span class="nam">mpi4py</span> <span class="key">import</span> <span class="nam">MPI</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">except</span> <span class="nam">ImportError</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">    <span class="nam">MPI</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="key">class</span> <span class="nam">cupy_mesh</span><span class="op">(</span><span class="nam">cp</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="str">    CuPy-based datatype for serial or parallel meshes.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t">    <span class="nam">comm</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t">    <span class="nam">xp</span> <span class="op">=</span> <span class="nam">cp</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t">    <span class="key">def</span> <span class="nam">__new__</span><span class="op">(</span><span class="nam">cls</span><span class="op">,</span> <span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">,</span> <span class="op">**</span><span class="nam">kwargs</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"><span class="str">        Instantiates new datatype. This ensures that even when manipulating data, the result is still a mesh.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t"><span class="str">            init: either another mesh or a tuple containing the dimensions, the communicator and the dtype</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t"><span class="str">            val: value to initialize</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t"><span class="str">            obj of type mesh</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t">        <span class="key">if</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">init</span><span class="op">,</span> <span class="nam">cupy_mesh</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t">            <span class="nam">obj</span> <span class="op">=</span> <span class="nam">cp</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">.</span><span class="nam">__new__</span><span class="op">(</span><span class="nam">cls</span><span class="op">,</span> <span class="nam">shape</span><span class="op">=</span><span class="nam">init</span><span class="op">.</span><span class="nam">shape</span><span class="op">,</span> <span class="nam">dtype</span><span class="op">=</span><span class="nam">init</span><span class="op">.</span><span class="nam">dtype</span><span class="op">,</span> <span class="op">**</span><span class="nam">kwargs</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t">            <span class="nam">obj</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">init</span><span class="op">[</span><span class="op">:</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t">        <span class="key">elif</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t">            <span class="nam">isinstance</span><span class="op">(</span><span class="nam">init</span><span class="op">,</span> <span class="nam">tuple</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t">            <span class="key">and</span> <span class="op">(</span><span class="nam">init</span><span class="op">[</span><span class="num">1</span><span class="op">]</span> <span class="key">is</span> <span class="key">None</span> <span class="key">or</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">init</span><span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">MPI</span><span class="op">.</span><span class="nam">Intracomm</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t">            <span class="key">and</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">init</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span> <span class="nam">cp</span><span class="op">.</span><span class="nam">dtype</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t">        <span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t">            <span class="nam">obj</span> <span class="op">=</span> <span class="nam">cp</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">.</span><span class="nam">__new__</span><span class="op">(</span><span class="nam">cls</span><span class="op">,</span> <span class="nam">init</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">dtype</span><span class="op">=</span><span class="nam">init</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span> <span class="op">**</span><span class="nam">kwargs</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">            <span class="nam">obj</span><span class="op">.</span><span class="nam">fill</span><span class="op">(</span><span class="nam">val</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">class</span> <span class="nam">cupy_mesh</span><span class="op">(</span><span class="nam">cp</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="str">    CuPy-based datatype for serial or parallel meshes.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t">    <span class="nam">comm</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t">    <span class="nam">xp</span> <span class="op">=</span> <span class="nam">cp</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t">    <span class="key">def</span> <span class="nam">__new__</span><span class="op">(</span><span class="nam">cls</span><span class="op">,</span> <span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">,</span> <span class="op">**</span><span class="nam">kwargs</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t"><span class="str">        Instantiates new datatype. This ensures that even when manipulating data, the result is still a mesh.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t"><span class="str">            init: either another mesh or a tuple containing the dimensions, the communicator and the dtype</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t"><span class="str">            val: value to initialize</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t"><span class="str">            obj of type mesh</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t">        <span class="key">if</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">init</span><span class="op">,</span> <span class="nam">cupy_mesh</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t">            <span class="nam">obj</span> <span class="op">=</span> <span class="nam">cp</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">.</span><span class="nam">__new__</span><span class="op">(</span><span class="nam">cls</span><span class="op">,</span> <span class="nam">shape</span><span class="op">=</span><span class="nam">init</span><span class="op">.</span><span class="nam">shape</span><span class="op">,</span> <span class="nam">dtype</span><span class="op">=</span><span class="nam">init</span><span class="op">.</span><span class="nam">dtype</span><span class="op">,</span> <span class="op">**</span><span class="nam">kwargs</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t">            <span class="nam">obj</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">init</span><span class="op">[</span><span class="op">:</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t">        <span class="key">elif</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t">            <span class="nam">isinstance</span><span class="op">(</span><span class="nam">init</span><span class="op">,</span> <span class="nam">tuple</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t">            <span class="key">and</span> <span class="op">(</span><span class="nam">init</span><span class="op">[</span><span class="num">1</span><span class="op">]</span> <span class="key">is</span> <span class="key">None</span> <span class="key">or</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">init</span><span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">MPI</span><span class="op">.</span><span class="nam">Intracomm</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t">            <span class="key">and</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">init</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span> <span class="nam">cp</span><span class="op">.</span><span class="nam">dtype</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t">        <span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t">            <span class="nam">obj</span> <span class="op">=</span> <span class="nam">cp</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">.</span><span class="nam">__new__</span><span class="op">(</span><span class="nam">cls</span><span class="op">,</span> <span class="nam">init</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">dtype</span><span class="op">=</span><span class="nam">init</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span> <span class="op">**</span><span class="nam">kwargs</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t">            <span class="nam">obj</span><span class="op">.</span><span class="nam">fill</span><span class="op">(</span><span class="nam">val</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">            <span class="nam">cls</span><span class="op">.</span><span class="nam">comm</span> <span class="op">=</span> <span class="nam">init</span><span class="op">[</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="exc show_exc"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">            <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span><span class="nam">type</span><span class="op">(</span><span class="nam">init</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">        <span class="key">return</span> <span class="nam">obj</span>&nbsp;</span><span class="r"></span></p>
@@ -147,11 +147,11 @@ <h2>
     <p class="run"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t">        <span class="nam">local_absval</span> <span class="op">=</span> <span class="nam">float</span><span class="op">(</span><span class="nam">cp</span><span class="op">.</span><span class="nam">amax</span><span class="op">(</span><span class="nam">cp</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">.</span><span class="nam">__abs__</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t">        <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">comm</span> <span class="key">is</span> <span class="key">not</span> <span class="key">None</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t">            <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">comm</span><span class="op">.</span><span class="nam">Get_size</span><span class="op">(</span><span class="op">)</span> <span class="op">></span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t">            <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">comm</span><span class="op">.</span><span class="nam">Get_size</span><span class="op">(</span><span class="op">)</span> <span class="op">></span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="mis show_mis"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t">                <span class="nam">global_absval</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
     <p class="mis show_mis"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t">                <span class="nam">global_absval</span> <span class="op">=</span> <span class="nam">max</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">comm</span><span class="op">.</span><span class="nam">allreduce</span><span class="op">(</span><span class="nam">sendobj</span><span class="op">=</span><span class="nam">local_absval</span><span class="op">,</span> <span class="nam">op</span><span class="op">=</span><span class="nam">MPI</span><span class="op">.</span><span class="nam">MAX</span><span class="op">)</span><span class="op">,</span> <span class="nam">global_absval</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t">            <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t">                <span class="nam">global_absval</span> <span class="op">=</span> <span class="nam">local_absval</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t">                <span class="nam">global_absval</span> <span class="op">=</span> <span class="nam">local_absval</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t">            <span class="nam">global_absval</span> <span class="op">=</span> <span class="nam">local_absval</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -272,7 +272,7 @@ <h2>
             <a class="nav" href="z_3017878c2b4bc866_fenics_mesh_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_3017878c2b4bc866_fenics_mesh_py.html b/coverage/z_3017878c2b4bc866_fenics_mesh_py.html
index 39f89a88e9..5abef666bf 100644
--- a/coverage/z_3017878c2b4bc866_fenics_mesh_py.html
+++ b/coverage/z_3017878c2b4bc866_fenics_mesh_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_3017878c2b4bc866_mesh_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
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+            created at 2024-09-13 11:13 +0000
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             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_5893b65af8042ae2_FDeigenvalues_py.html b/coverage/z_5893b65af8042ae2_FDeigenvalues_py.html
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-            created at 2024-09-09 14:59 +0000
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-            created at 2024-09-09 14:59 +0000
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-            created at 2024-09-09 14:59 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_5893b65af8042ae2_accuracy_check_py.html b/coverage/z_5893b65af8042ae2_accuracy_check_py.html
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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+            created at 2024-09-13 11:13 +0000
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+            created at 2024-09-13 11:13 +0000
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+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_5893b65af8042ae2_fault_injection_py.html b/coverage/z_5893b65af8042ae2_fault_injection_py.html
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-            created at 2024-09-09 14:59 +0000
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diff --git a/coverage/z_5893b65af8042ae2_fault_stats_py.html b/coverage/z_5893b65af8042ae2_fault_stats_py.html
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-            created at 2024-09-09 14:59 +0000
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index eb9a92b485..2e51bc5b1d 100644
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     <p class="run"><span class="n"><a id="t1243" href="#t1243">1243</a></span><span class="t">        <span class="key">if</span> <span class="nam">problem</span><span class="op">.</span><span class="nam">__name__</span> <span class="op">==</span> <span class="str">"run_Lorenz"</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
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-    <p class="run"><span class="n"><a id="t1245" href="#t1245">1245</a></span><span class="t">                <span class="key">return</span> <span class="num">1820</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t1245" href="#t1245">1245</a></span><span class="t">                <span class="key">return</span> <span class="num">1456</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t1246" href="#t1246">1246</a></span><span class="t">            <span class="key">elif</span> <span class="nam">key</span> <span class="op">==</span> <span class="str">'e_global_post_run'</span> <span class="key">and</span> <span class="nam">op</span> <span class="op">==</span> <span class="nam">max</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t1247" href="#t1247">1247</a></span><span class="t">                <span class="key">return</span> <span class="num">0.00013730538358736055</span>&nbsp;</span><span class="r"></span></p>
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@@ -1515,7 +1515,7 @@ <h2>
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-    <p class="run"><span class="n"><a id="t1436" href="#t1436">1436</a></span><span class="t">                <span class="key">return</span> <span class="num">984</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t1436" href="#t1436">1436</a></span><span class="t">                <span class="key">return</span> <span class="num">820</span>&nbsp;</span><span class="r"></span></p>
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     <p class="run"><span class="n"><a id="t1438" href="#t1438">1438</a></span><span class="t">                <span class="key">return</span> <span class="num">3.148061889390874e-06</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t1439" href="#t1439">1439</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
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             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
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@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_5a4fc9be2b02ba20_run_MonodomainODE_cli_py.html b/coverage/z_5a4fc9be2b02ba20_run_MonodomainODE_cli_py.html
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@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_5a4fc9be2b02ba20_run_MonodomainODE_py.html b/coverage/z_5a4fc9be2b02ba20_run_MonodomainODE_py.html
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@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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         <aside class="hidden">
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@@ -507,7 +507,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_5a4fc9be2b02ba20_run_TestODE_py.html b/coverage/z_5a4fc9be2b02ba20_run_TestODE_py.html
index 004de634d7..1d66a8daaa 100644
--- a/coverage/z_5a4fc9be2b02ba20_run_TestODE_py.html
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@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_1ec92d03b7ea04ce_imexexp_1st_order_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -390,7 +390,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html b/coverage/z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html
index 216427986a..6a6dddbb19 100644
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@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_60ee0c9d7735ef11_HookClass_acoustic_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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         <aside class="hidden">
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@@ -125,7 +125,7 @@ <h2>
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_60ee0c9d7735ef11_HookClass_acoustic_py.html b/coverage/z_60ee0c9d7735ef11_HookClass_acoustic_py.html
index ebcf6e0d10..1a96cb04f6 100644
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@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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         <aside class="hidden">
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_60ee0c9d7735ef11_HookClass_boussinesq_py.html b/coverage/z_60ee0c9d7735ef11_HookClass_boussinesq_py.html
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
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-            created at 2024-09-09 14:59 +0000
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diff --git a/coverage/z_60ee0c9d7735ef11_plot_stab_vs_k_py.html b/coverage/z_60ee0c9d7735ef11_plot_stab_vs_k_py.html
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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-            created at 2024-09-09 14:59 +0000
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             <a id="nextFileLink" class="nav" href="z_66292b4c3b6b9cb6_piline_model_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -139,7 +139,7 @@ <h2>
             <a class="nav" href="z_66292b4c3b6b9cb6_piline_model_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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     </div>
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diff --git a/coverage/z_a8a430cd9834ab6a_A_spatial_problem_setup_py.html b/coverage/z_a8a430cd9834ab6a_A_spatial_problem_setup_py.html
index 2bf95f7434..30a16ff68a 100644
--- a/coverage/z_a8a430cd9834ab6a_A_spatial_problem_setup_py.html
+++ b/coverage/z_a8a430cd9834ab6a_A_spatial_problem_setup_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_a8a430cd9834ab6a_B_spatial_accuracy_check_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             <a class="nav" href="z_a8a430cd9834ab6a_B_spatial_accuracy_check_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
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diff --git a/coverage/z_a8a430cd9834ab6a_B_spatial_accuracy_check_py.html b/coverage/z_a8a430cd9834ab6a_B_spatial_accuracy_check_py.html
index c9eef73898..6b4b4e35d0 100644
--- a/coverage/z_a8a430cd9834ab6a_B_spatial_accuracy_check_py.html
+++ b/coverage/z_a8a430cd9834ab6a_B_spatial_accuracy_check_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_a8a430cd9834ab6a_C_collocation_problem_setup_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -278,7 +278,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_a8a430cd9834ab6a_C_collocation_problem_setup_py.html b/coverage/z_a8a430cd9834ab6a_C_collocation_problem_setup_py.html
index 628f0325a0..82b7e68293 100644
--- a/coverage/z_a8a430cd9834ab6a_C_collocation_problem_setup_py.html
+++ b/coverage/z_a8a430cd9834ab6a_C_collocation_problem_setup_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_a8a430cd9834ab6a_D_collocation_accuracy_check_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -166,7 +166,7 @@ <h2>
             <a class="nav" href="z_a8a430cd9834ab6a_D_collocation_accuracy_check_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
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 </footer>
diff --git a/coverage/z_a8a430cd9834ab6a_D_collocation_accuracy_check_py.html b/coverage/z_a8a430cd9834ab6a_D_collocation_accuracy_check_py.html
index c4072e0eee..93e99523a1 100644
--- a/coverage/z_a8a430cd9834ab6a_D_collocation_accuracy_check_py.html
+++ b/coverage/z_a8a430cd9834ab6a_D_collocation_accuracy_check_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_1ee527a4b5236415_A_step_data_structure_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -289,7 +289,7 @@ <h2>
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_b9c274c7ffe3e178_Multistep_py.html b/coverage/z_b9c274c7ffe3e178_Multistep_py.html
index 3c27139239..7d40bbbab7 100644
--- a/coverage/z_b9c274c7ffe3e178_Multistep_py.html
+++ b/coverage/z_b9c274c7ffe3e178_Multistep_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_b9c274c7ffe3e178_Runge_Kutta_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -309,7 +309,7 @@ <h2>
             <a class="nav" href="z_b9c274c7ffe3e178_Runge_Kutta_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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 </footer>
diff --git a/coverage/z_b9c274c7ffe3e178_Runge_Kutta_Nystrom_py.html b/coverage/z_b9c274c7ffe3e178_Runge_Kutta_Nystrom_py.html
index ae217d5090..6c7efbd91b 100644
--- a/coverage/z_b9c274c7ffe3e178_Runge_Kutta_Nystrom_py.html
+++ b/coverage/z_b9c274c7ffe3e178_Runge_Kutta_Nystrom_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_b9c274c7ffe3e178_boris_2nd_order_py.html">&#xbb; next</a>
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -301,7 +301,7 @@ <h2>
             <a class="nav" href="z_b9c274c7ffe3e178_boris_2nd_order_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
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diff --git a/coverage/z_b9c274c7ffe3e178_Runge_Kutta_py.html b/coverage/z_b9c274c7ffe3e178_Runge_Kutta_py.html
index c0a5bee741..ec6fa72d0a 100644
--- a/coverage/z_b9c274c7ffe3e178_Runge_Kutta_py.html
+++ b/coverage/z_b9c274c7ffe3e178_Runge_Kutta_py.html
@@ -2,7 +2,7 @@
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     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/implementations/sweeper_classes/Runge_Kutta.py: 93%</title>
+    <title>Coverage for pySDC/implementations/sweeper_classes/Runge_Kutta.py: 94%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -12,7 +12,7 @@
     <div class="content">
         <h1>
             <span class="text">Coverage for </span><b>pySDC/implementations/sweeper_classes/Runge_Kutta.py</b>:
-            <span class="pc_cov">93%</span>
+            <span class="pc_cov">94%</span>
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         <aside id="help_panel_wrapper">
             <input id="help_panel_state" type="checkbox">
@@ -54,9 +54,9 @@ <h1>
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         </aside>
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-            <span class="text">281 statements &nbsp;</span>
-            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">262<span class="text"> run</span></button>
-            <button type="button" class="mis show_mis button_toggle_mis" value="mis" data-shortcut="m" title="Toggle lines missing">19<span class="text"> missing</span></button>
+            <span class="text">286 statements &nbsp;</span>
+            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">268<span class="text"> run</span></button>
+            <button type="button" class="mis show_mis button_toggle_mis" value="mis" data-shortcut="m" title="Toggle lines missing">18<span class="text"> missing</span></button>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">18<span class="text"> excluded</span></button>
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         <p class="text">
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_b9c274c7ffe3e178_Runge_Kutta_Nystrom_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.1">coverage.py v7.6.1</a>,
-            created at 2024-09-09 14:59 +0000
+            created at 2024-09-13 11:13 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -119,656 +119,663 @@ <h2>
     <p class="run"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="exc show_exc"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible number of nodes! Need </span><span class="op">{</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">}</span><span class="fst">, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">        <span class="com"># Set number of nodes, left and right interval boundaries</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span> <span class="op">=</span> <span class="num">1</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">tleft</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">tright</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">nodes</span><span class="op">)</span><span class="op">,</span> <span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">weights</span> <span class="op">=</span> <span class="nam">weights</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="op">[</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">weights</span>  <span class="com"># this is for computing the solution to the step from the previous stages</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">left_is_node</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">right_is_node</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">==</span> <span class="nam">self</span><span class="op">.</span><span class="nam">tright</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">        <span class="com"># compute distances between the nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t">        <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">></span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">]</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">tleft</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">globally_stiffly_accurate</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">allclose</span><span class="op">(</span><span class="nam">matrix</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">weights</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">tleft</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">tright</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span> <span class="op">=</span> <span class="num">0</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">globally_stiffly_accurate</span> <span class="key">else</span> <span class="num">1</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">weights</span> <span class="op">=</span> <span class="nam">weights</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">        <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">globally_stiffly_accurate</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">            <span class="com"># For globally stiffly accurate methods, the last row of the Butcher tableau is the same as the weights.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">nodes</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="op">[</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">nodes</span><span class="op">)</span><span class="op">,</span> <span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="op">[</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">weights</span>  <span class="com"># this is for computing the solution to the step from the previous stages</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">left_is_node</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">right_is_node</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">==</span> <span class="nam">self</span><span class="op">.</span><span class="nam">tright</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t">        <span class="com"># check if the RK scheme is implicit</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">implicit</span> <span class="op">=</span> <span class="nam">any</span><span class="op">(</span><span class="nam">matrix</span><span class="op">[</span><span class="nam">i</span><span class="op">,</span> <span class="nam">i</span><span class="op">]</span> <span class="op">!=</span> <span class="num">0</span> <span class="key">for</span> <span class="nam">i</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t"><span class="key">class</span> <span class="nam">ButcherTableauEmbedded</span><span class="op">(</span><span class="nam">object</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">nodes</span><span class="op">,</span> <span class="nam">matrix</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t"><span class="str">        Initialization routine to get a quadrature matrix out of a Butcher tableau for embedded RK methods.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t"><span class="str">        Be aware that the method that generates the final solution should be in the first row of the weights matrix.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t">        <span class="com"># compute distances between the nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t">        <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">></span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">]</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">tleft</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t">        <span class="com"># check if the RK scheme is implicit</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">implicit</span> <span class="op">=</span> <span class="nam">any</span><span class="op">(</span><span class="nam">matrix</span><span class="op">[</span><span class="nam">i</span><span class="op">,</span> <span class="nam">i</span><span class="op">]</span> <span class="op">!=</span> <span class="num">0</span> <span class="key">for</span> <span class="nam">i</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t"><span class="str">            weights (numpy.ndarray): Butcher tableau weights</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t"><span class="str">            nodes (numpy.ndarray): Butcher tableau nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t"><span class="str">            matrix (numpy.ndarray): Butcher tableau entries</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t">        <span class="com"># check if the arguments have the correct form</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t">        <span class="key">if</span> <span class="nam">type</span><span class="op">(</span><span class="nam">matrix</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="str">'Runge-Kutta matrix needs to be supplied as  a numpy array!'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">unique</span><span class="op">(</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span><span class="op">)</span> <span class="op">!=</span> <span class="num">1</span> <span class="key">or</span> <span class="nam">len</span><span class="op">(</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span> <span class="op">!=</span> <span class="num">2</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t82" href="#t82">82</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="str">'Runge-Kutta matrix needs to be a square 2D numpy array!'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t">        <span class="key">if</span> <span class="nam">type</span><span class="op">(</span><span class="nam">weights</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="str">'Weights need to be supplied as a numpy array!'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">weights</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span> <span class="op">!=</span> <span class="num">2</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible dimension of weights! Need 2, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">weights</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">weights</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible number of weights! Need </span><span class="op">{</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">}</span><span class="fst">, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">weights</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t"><span class="key">class</span> <span class="nam">ButcherTableauEmbedded</span><span class="op">(</span><span class="nam">object</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">nodes</span><span class="op">,</span> <span class="nam">matrix</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t"><span class="str">        Initialization routine to get a quadrature matrix out of a Butcher tableau for embedded RK methods.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t"><span class="str">        Be aware that the method that generates the final solution should be in the first row of the weights matrix.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t"><span class="str">            weights (numpy.ndarray): Butcher tableau weights</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t82" href="#t82">82</a></span><span class="t"><span class="str">            nodes (numpy.ndarray): Butcher tableau nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t"><span class="str">            matrix (numpy.ndarray): Butcher tableau entries</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t">        <span class="com"># check if the arguments have the correct form</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t">        <span class="key">if</span> <span class="nam">type</span><span class="op">(</span><span class="nam">matrix</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="str">'Runge-Kutta matrix needs to be supplied as  a numpy array!'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">unique</span><span class="op">(</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span><span class="op">)</span> <span class="op">!=</span> <span class="num">1</span> <span class="key">or</span> <span class="nam">len</span><span class="op">(</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span> <span class="op">!=</span> <span class="num">2</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="str">'Runge-Kutta matrix needs to be a square 2D numpy array!'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t90" href="#t90">90</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t">        <span class="key">if</span> <span class="nam">type</span><span class="op">(</span><span class="nam">nodes</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="str">'Nodes need to be supplied as a numpy array!'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span> <span class="op">!=</span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible dimension of nodes! Need 1, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible number of nodes! Need </span><span class="op">{</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">}</span><span class="fst">, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t">        <span class="key">if</span> <span class="nam">type</span><span class="op">(</span><span class="nam">weights</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="str">'Weights need to be supplied as a numpy array!'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">weights</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span> <span class="op">!=</span> <span class="num">2</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible dimension of weights! Need 2, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">weights</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">weights</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible number of weights! Need </span><span class="op">{</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">}</span><span class="fst">, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">weights</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t97" href="#t97">97</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t">        <span class="com"># Set number of nodes, left and right interval boundaries</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span> <span class="op">=</span> <span class="num">2</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">tleft</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">tright</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">nodes</span><span class="op">)</span><span class="op">,</span> <span class="op">[</span><span class="num">1</span><span class="op">,</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">weights</span> <span class="op">=</span> <span class="nam">weights</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="op">[</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">2</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">2</span><span class="op">]</span> <span class="op">=</span> <span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">2</span><span class="op">]</span> <span class="op">=</span> <span class="nam">weights</span><span class="op">[</span><span class="num">0</span><span class="op">]</span>  <span class="com"># this is for computing the higher order solution</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="op">-</span><span class="num">2</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">2</span><span class="op">]</span> <span class="op">=</span> <span class="nam">weights</span><span class="op">[</span><span class="num">1</span><span class="op">]</span>  <span class="com"># this is for computing the lower order solution</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t">        <span class="key">if</span> <span class="nam">type</span><span class="op">(</span><span class="nam">nodes</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">ndarray</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="str">'Nodes need to be supplied as a numpy array!'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span> <span class="op">!=</span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible dimension of nodes! Need 1, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">.</span><span class="nam">shape</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t">        <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">)</span> <span class="op">!=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Incompatible number of nodes! Need </span><span class="op">{</span><span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">}</span><span class="fst">, got </span><span class="op">{</span><span class="nam">len</span><span class="op">(</span><span class="nam">nodes</span><span class="op">)</span><span class="op">}</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t">        <span class="com"># Set number of nodes, left and right interval boundaries</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span> <span class="op">=</span> <span class="num">2</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">=</span> <span class="nam">matrix</span><span class="op">.</span><span class="nam">shape</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">tleft</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">tright</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">left_is_node</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">right_is_node</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">==</span> <span class="nam">self</span><span class="op">.</span><span class="nam">tright</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t">        <span class="com"># compute distances between the nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t">        <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">></span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">]</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">tleft</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">nodes</span><span class="op">)</span><span class="op">,</span> <span class="op">[</span><span class="num">1</span><span class="op">,</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">weights</span> <span class="op">=</span> <span class="nam">weights</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="op">[</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">2</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">2</span><span class="op">]</span> <span class="op">=</span> <span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">2</span><span class="op">]</span> <span class="op">=</span> <span class="nam">weights</span><span class="op">[</span><span class="num">0</span><span class="op">]</span>  <span class="com"># this is for computing the higher order solution</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="op">-</span><span class="num">2</span><span class="op">,</span> <span class="num">1</span><span class="op">:</span><span class="op">-</span><span class="num">2</span><span class="op">]</span> <span class="op">=</span> <span class="nam">weights</span><span class="op">[</span><span class="num">1</span><span class="op">]</span>  <span class="com"># this is for computing the lower order solution</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">left_is_node</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">right_is_node</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">==</span> <span class="nam">self</span><span class="op">.</span><span class="nam">tright</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t">        <span class="com"># check if the RK scheme is implicit</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">implicit</span> <span class="op">=</span> <span class="nam">any</span><span class="op">(</span><span class="nam">matrix</span><span class="op">[</span><span class="nam">i</span><span class="op">,</span> <span class="nam">i</span><span class="op">]</span> <span class="op">!=</span> <span class="num">0</span> <span class="key">for</span> <span class="nam">i</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t"><span class="key">class</span> <span class="nam">RungeKutta</span><span class="op">(</span><span class="nam">Sweeper</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t">    <span class="nam">nodes</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t">    <span class="nam">weights</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableau</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t">        <span class="com"># compute distances between the nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t">        <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">></span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="num">1</span><span class="op">:</span><span class="op">]</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="op">:</span><span class="op">-</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">zeros</span><span class="op">(</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">delta_m</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">tleft</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t">        <span class="com"># check if the RK scheme is implicit</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">implicit</span> <span class="op">=</span> <span class="nam">any</span><span class="op">(</span><span class="nam">matrix</span><span class="op">[</span><span class="nam">i</span><span class="op">,</span> <span class="nam">i</span><span class="op">]</span> <span class="op">!=</span> <span class="num">0</span> <span class="key">for</span> <span class="nam">i</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">num_solution_stages</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t130" href="#t130">130</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t"><span class="str">    Runge-Kutta scheme that fits the interface of a sweeper.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t"><span class="str">    Actually, the sweeper idea fits the Runge-Kutta idea when using only lower triangular rules, where solutions</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t"><span class="str">    at the nodes are successively computed from earlier nodes. However, we only perform a single iteration of this.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t"><span class="str">    We have two choices to realise a Runge-Kutta sweeper: We can choose Q = Q_Delta = &lt;Butcher tableau>, but in this</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t"><span class="str">    implementation, that would lead to a lot of wasted FLOPS from integrating with Q and then with Q_Delta and</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t"><span class="str">    subtracting the two. For that reason, we built this new sweeper, which does not have a preconditioner.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t"><span class="str">    This class only supports lower triangular Butcher tableaux such that the system can be solved with forward</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t"><span class="str">    substitution. In this way, we don't get the maximum order that we could for the number of stages, but computing the</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t"><span class="str">    stages is much cheaper. In particular, if the Butcher tableaux is strictly lower triangular, we get an explicit</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t"><span class="str">    method, which does not require us to solve a system of equations to compute the stages.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t"><span class="str">    Please be aware that all fundamental parameters of the Sweeper are ignored. These include</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t"><span class="key">class</span> <span class="nam">RungeKutta</span><span class="op">(</span><span class="nam">Sweeper</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t">    <span class="nam">nodes</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t">    <span class="nam">weights</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableau</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t"><span class="str">    Runge-Kutta scheme that fits the interface of a sweeper.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t"><span class="str">    Actually, the sweeper idea fits the Runge-Kutta idea when using only lower triangular rules, where solutions</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t"><span class="str">    at the nodes are successively computed from earlier nodes. However, we only perform a single iteration of this.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t"><span class="str">    We have two choices to realise a Runge-Kutta sweeper: We can choose Q = Q_Delta = &lt;Butcher tableau>, but in this</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t"><span class="str">    implementation, that would lead to a lot of wasted FLOPS from integrating with Q and then with Q_Delta and</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t"><span class="str">    subtracting the two. For that reason, we built this new sweeper, which does not have a preconditioner.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t146" href="#t146">146</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t"><span class="str">     - num_nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t"><span class="str">     - collocation_class</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t"><span class="str">     - initial_guess</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t"><span class="str">     - QI</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t"><span class="str">    This class only supports lower triangular Butcher tableaux such that the system can be solved with forward</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t"><span class="str">    substitution. In this way, we don't get the maximum order that we could for the number of stages, but computing the</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t"><span class="str">    stages is much cheaper. In particular, if the Butcher tableaux is strictly lower triangular, we get an explicit</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t"><span class="str">    method, which does not require us to solve a system of equations to compute the stages.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t"><span class="str">    All of these variables are either determined by the RK rule, or are not part of an RK scheme.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t"><span class="str">    Please be aware that all fundamental parameters of the Sweeper are ignored. These include</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t"><span class="str">    The entries of the Butcher tableau are stored as class attributes.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">params</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t"><span class="str">        Initialization routine for the custom sweeper</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t"><span class="str">     - num_nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t"><span class="str">     - collocation_class</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t"><span class="str">     - initial_guess</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t"><span class="str">     - QI</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t"><span class="str">    All of these variables are either determined by the RK rule, or are not part of an RK scheme.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t160" href="#t160">160</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t"><span class="str">            params: parameters for the sweeper</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t">        <span class="com"># set up logger</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">logger</span> <span class="op">=</span> <span class="nam">logging</span><span class="op">.</span><span class="nam">getLogger</span><span class="op">(</span><span class="str">'sweeper'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t">        <span class="com"># check if some parameters are set which only apply to actual sweepers</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t">        <span class="key">for</span> <span class="nam">key</span> <span class="key">in</span> <span class="op">[</span><span class="str">'initial_guess'</span><span class="op">,</span> <span class="str">'collocation_class'</span><span class="op">,</span> <span class="str">'num_nodes'</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t169" href="#t169">169</a></span><span class="t">            <span class="key">if</span> <span class="nam">key</span> <span class="key">in</span> <span class="nam">params</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t170" href="#t170">170</a></span><span class="t">                <span class="nam">self</span><span class="op">.</span><span class="nam">logger</span><span class="op">.</span><span class="nam">warning</span><span class="op">(</span><span class="fst">f'</span><span class="fst">"</span><span class="op">{</span><span class="nam">key</span><span class="op">}</span><span class="fst">" will be ignored by Runge-Kutta sweeper</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t">        <span class="com"># set parameters to their actual values</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t173" href="#t173">173</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_Butcher_tableau</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t174" href="#t174">174</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'initial_guess'</span><span class="op">]</span> <span class="op">=</span> <span class="str">'zero'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t175" href="#t175">175</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'collocation_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">type</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">ButcherTableauClass</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t176" href="#t176">176</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'num_nodes'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t177" href="#t177">177</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t178" href="#t178">178</a></span><span class="t">        <span class="com"># disable residual computation by default</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t179" href="#t179">179</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'skip_residual_computation'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">params</span><span class="op">.</span><span class="nam">get</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t180" href="#t180">180</a></span><span class="t">            <span class="str">'skip_residual_computation'</span><span class="op">,</span> <span class="op">(</span><span class="str">'IT_CHECK'</span><span class="op">,</span> <span class="str">'IT_FINE'</span><span class="op">,</span> <span class="str">'IT_COARSE'</span><span class="op">,</span> <span class="str">'IT_UP'</span><span class="op">,</span> <span class="str">'IT_DOWN'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t">        <span class="com"># check if we can skip some usually unnecessary right hand side evaluations</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'eval_rhs_at_right_boundary'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">params</span><span class="op">.</span><span class="nam">get</span><span class="op">(</span><span class="str">'eval_rhs_at_right_boundary'</span><span class="op">,</span> <span class="key">False</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">params</span> <span class="op">=</span> <span class="nam">_Pars</span><span class="op">(</span><span class="nam">params</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t188" href="#t188">188</a></span><span class="t">        <span class="com"># This will be set as soon as the sweeper is instantiated at the level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t189" href="#t189">189</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">__level</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t190" href="#t190">190</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t191" href="#t191">191</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">parallelizable</span> <span class="op">=</span> <span class="key">False</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t192" href="#t192">192</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">Qmat</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t193" href="#t193">193</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t194" href="#t194">194</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_Q_matrix</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t196" href="#t196">196</a></span><span class="t">        <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">get_Butcher_tableau</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">Qmat</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t"><span class="str">    The entries of the Butcher tableau are stored as class attributes.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">params</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t"><span class="str">        Initialization routine for the custom sweeper</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t169" href="#t169">169</a></span><span class="t"><span class="str">            params: parameters for the sweeper</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t170" href="#t170">170</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t">        <span class="com"># set up logger</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">logger</span> <span class="op">=</span> <span class="nam">logging</span><span class="op">.</span><span class="nam">getLogger</span><span class="op">(</span><span class="str">'sweeper'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t173" href="#t173">173</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t174" href="#t174">174</a></span><span class="t">        <span class="com"># check if some parameters are set which only apply to actual sweepers</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t175" href="#t175">175</a></span><span class="t">        <span class="key">for</span> <span class="nam">key</span> <span class="key">in</span> <span class="op">[</span><span class="str">'initial_guess'</span><span class="op">,</span> <span class="str">'collocation_class'</span><span class="op">,</span> <span class="str">'num_nodes'</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t176" href="#t176">176</a></span><span class="t">            <span class="key">if</span> <span class="nam">key</span> <span class="key">in</span> <span class="nam">params</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t177" href="#t177">177</a></span><span class="t">                <span class="nam">self</span><span class="op">.</span><span class="nam">logger</span><span class="op">.</span><span class="nam">warning</span><span class="op">(</span><span class="fst">f'</span><span class="fst">"</span><span class="op">{</span><span class="nam">key</span><span class="op">}</span><span class="fst">" will be ignored by Runge-Kutta sweeper</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t178" href="#t178">178</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t179" href="#t179">179</a></span><span class="t">        <span class="com"># set parameters to their actual values</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t180" href="#t180">180</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_Butcher_tableau</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'initial_guess'</span><span class="op">]</span> <span class="op">=</span> <span class="str">'zero'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'collocation_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">type</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">ButcherTableauClass</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'num_nodes'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t">        <span class="com"># disable residual computation by default</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'skip_residual_computation'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">params</span><span class="op">.</span><span class="nam">get</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t">            <span class="str">'skip_residual_computation'</span><span class="op">,</span> <span class="op">(</span><span class="str">'IT_CHECK'</span><span class="op">,</span> <span class="str">'IT_FINE'</span><span class="op">,</span> <span class="str">'IT_COARSE'</span><span class="op">,</span> <span class="str">'IT_UP'</span><span class="op">,</span> <span class="str">'IT_DOWN'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t188" href="#t188">188</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t189" href="#t189">189</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t190" href="#t190">190</a></span><span class="t">        <span class="com"># check if we can skip some usually unnecessary right hand side evaluations</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t191" href="#t191">191</a></span><span class="t">        <span class="nam">params</span><span class="op">[</span><span class="str">'eval_rhs_at_right_boundary'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">params</span><span class="op">.</span><span class="nam">get</span><span class="op">(</span><span class="str">'eval_rhs_at_right_boundary'</span><span class="op">,</span> <span class="key">False</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t192" href="#t192">192</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t193" href="#t193">193</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">params</span> <span class="op">=</span> <span class="nam">_Pars</span><span class="op">(</span><span class="nam">params</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t194" href="#t194">194</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t">        <span class="com"># This will be set as soon as the sweeper is instantiated at the level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t196" href="#t196">196</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">__level</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t197" href="#t197">197</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t198" href="#t198">198</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t199" href="#t199">199</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_Butcher_tableau</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t200" href="#t200">200</a></span><span class="t">        <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">ButcherTableauClass</span><span class="op">(</span><span class="nam">cls</span><span class="op">.</span><span class="nam">weights</span><span class="op">,</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">nodes</span><span class="op">,</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">matrix</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t201" href="#t201">201</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t202" href="#t202">202</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t203" href="#t203">203</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t204" href="#t204">204</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t205" href="#t205">205</a></span><span class="t"><span class="str">        Get the order of the lower order method for doing adaptivity. Only applies to embedded methods.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t206" href="#t206">206</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t207" href="#t207">207</a></span><span class="t">        <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t208" href="#t208">208</a></span><span class="t">            <span class="fst">f"</span><span class="fst">There is not an update order for RK scheme \"</span><span class="op">{</span><span class="nam">cls</span><span class="op">.</span><span class="nam">__name__</span><span class="op">}</span><span class="fst">\" implemented. Maybe it is not an embedded scheme?</span><span class="fst">"</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t209" href="#t209">209</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t210" href="#t210">210</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t211" href="#t211">211</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_full_f</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">f</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t212" href="#t212">212</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t213" href="#t213">213</a></span><span class="t"><span class="str">        Get the full right hand side as a `mesh` from the right hand side</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t214" href="#t214">214</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t215" href="#t215">215</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t216" href="#t216">216</a></span><span class="t"><span class="str">            f (dtype_f): Right hand side at a single node</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t198" href="#t198">198</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">parallelizable</span> <span class="op">=</span> <span class="key">False</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t199" href="#t199">199</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">Qmat</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t200" href="#t200">200</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t201" href="#t201">201</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t202" href="#t202">202</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_Q_matrix</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t203" href="#t203">203</a></span><span class="t">        <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">get_Butcher_tableau</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">Qmat</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t204" href="#t204">204</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t205" href="#t205">205</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t206" href="#t206">206</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_Butcher_tableau</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t207" href="#t207">207</a></span><span class="t">        <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">ButcherTableauClass</span><span class="op">(</span><span class="nam">cls</span><span class="op">.</span><span class="nam">weights</span><span class="op">,</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">nodes</span><span class="op">,</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">matrix</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t208" href="#t208">208</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t209" href="#t209">209</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t210" href="#t210">210</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t211" href="#t211">211</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t212" href="#t212">212</a></span><span class="t"><span class="str">        Get the order of the lower order method for doing adaptivity. Only applies to embedded methods.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t213" href="#t213">213</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t214" href="#t214">214</a></span><span class="t">        <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t215" href="#t215">215</a></span><span class="t">            <span class="fst">f"</span><span class="fst">There is not an update order for RK scheme \"</span><span class="op">{</span><span class="nam">cls</span><span class="op">.</span><span class="nam">__name__</span><span class="op">}</span><span class="fst">\" implemented. Maybe it is not an embedded scheme?</span><span class="fst">"</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t216" href="#t216">216</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t217" href="#t217">217</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t218" href="#t218">218</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t219" href="#t219">219</a></span><span class="t"><span class="str">            mesh: Full right hand side as a mesh</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t220" href="#t220">220</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t221" href="#t221">221</a></span><span class="t">        <span class="key">if</span> <span class="nam">type</span><span class="op">(</span><span class="nam">f</span><span class="op">)</span><span class="op">.</span><span class="nam">__name__</span> <span class="key">in</span> <span class="op">[</span><span class="str">'mesh'</span><span class="op">,</span> <span class="str">'cupy_mesh'</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t222" href="#t222">222</a></span><span class="t">            <span class="key">return</span> <span class="nam">f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t223" href="#t223">223</a></span><span class="t">        <span class="key">elif</span> <span class="nam">type</span><span class="op">(</span><span class="nam">f</span><span class="op">)</span><span class="op">.</span><span class="nam">__name__</span> <span class="key">in</span> <span class="op">[</span><span class="str">'imex_mesh'</span><span class="op">,</span> <span class="str">'imex_cupy_mesh'</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t224" href="#t224">224</a></span><span class="t">            <span class="key">return</span> <span class="nam">f</span><span class="op">.</span><span class="nam">impl</span> <span class="op">+</span> <span class="nam">f</span><span class="op">.</span><span class="nam">expl</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t225" href="#t225">225</a></span><span class="t">        <span class="key">elif</span> <span class="nam">f</span> <span class="key">is</span> <span class="key">None</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t226" href="#t226">226</a></span><span class="t">            <span class="nam">prob</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t227" href="#t227">227</a></span><span class="t">            <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_full_f</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t228" href="#t228">228</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t229" href="#t229">229</a></span><span class="t">            <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Type \"</span><span class="op">{</span><span class="nam">type</span><span class="op">(</span><span class="nam">f</span><span class="op">)</span><span class="op">}</span><span class="fst">\" not implemented in Runge-Kutta sweeper</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t230" href="#t230">230</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t231" href="#t231">231</a></span><span class="t">    <span class="key">def</span> <span class="nam">integrate</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t232" href="#t232">232</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t233" href="#t233">233</a></span><span class="t"><span class="str">        Integrates the right-hand side</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t234" href="#t234">234</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t235" href="#t235">235</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t236" href="#t236">236</a></span><span class="t"><span class="str">            list of dtype_u: containing the integral as values</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t237" href="#t237">237</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t238" href="#t238">238</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t239" href="#t239">239</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t240" href="#t240">240</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t241" href="#t241">241</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t242" href="#t242">242</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t243" href="#t243">243</a></span><span class="t">        <span class="nam">me</span> <span class="op">=</span> <span class="op">[</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t244" href="#t244">244</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t245" href="#t245">245</a></span><span class="t">        <span class="com"># integrate RHS over all collocation nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t246" href="#t246">246</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t247" href="#t247">247</a></span><span class="t">            <span class="com"># new instance of dtype_u, initialize values with 0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t248" href="#t248">248</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t249" href="#t249">249</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t250" href="#t250">250</a></span><span class="t">                <span class="nam">me</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">+=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_full_f</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t218" href="#t218">218</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_full_f</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">f</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t219" href="#t219">219</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t220" href="#t220">220</a></span><span class="t"><span class="str">        Get the full right hand side as a `mesh` from the right hand side</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t221" href="#t221">221</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t222" href="#t222">222</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t223" href="#t223">223</a></span><span class="t"><span class="str">            f (dtype_f): Right hand side at a single node</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t224" href="#t224">224</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t225" href="#t225">225</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t226" href="#t226">226</a></span><span class="t"><span class="str">            mesh: Full right hand side as a mesh</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t227" href="#t227">227</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t228" href="#t228">228</a></span><span class="t">        <span class="key">if</span> <span class="nam">type</span><span class="op">(</span><span class="nam">f</span><span class="op">)</span><span class="op">.</span><span class="nam">__name__</span> <span class="key">in</span> <span class="op">[</span><span class="str">'mesh'</span><span class="op">,</span> <span class="str">'cupy_mesh'</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t229" href="#t229">229</a></span><span class="t">            <span class="key">return</span> <span class="nam">f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t230" href="#t230">230</a></span><span class="t">        <span class="key">elif</span> <span class="nam">type</span><span class="op">(</span><span class="nam">f</span><span class="op">)</span><span class="op">.</span><span class="nam">__name__</span> <span class="key">in</span> <span class="op">[</span><span class="str">'imex_mesh'</span><span class="op">,</span> <span class="str">'imex_cupy_mesh'</span><span class="op">]</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t231" href="#t231">231</a></span><span class="t">            <span class="key">return</span> <span class="nam">f</span><span class="op">.</span><span class="nam">impl</span> <span class="op">+</span> <span class="nam">f</span><span class="op">.</span><span class="nam">expl</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t232" href="#t232">232</a></span><span class="t">        <span class="key">elif</span> <span class="nam">f</span> <span class="key">is</span> <span class="key">None</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t233" href="#t233">233</a></span><span class="t">            <span class="nam">prob</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t234" href="#t234">234</a></span><span class="t">            <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_full_f</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t235" href="#t235">235</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t236" href="#t236">236</a></span><span class="t">            <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">Type \"</span><span class="op">{</span><span class="nam">type</span><span class="op">(</span><span class="nam">f</span><span class="op">)</span><span class="op">}</span><span class="fst">\" not implemented in Runge-Kutta sweeper</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t237" href="#t237">237</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t238" href="#t238">238</a></span><span class="t">    <span class="key">def</span> <span class="nam">integrate</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t239" href="#t239">239</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t240" href="#t240">240</a></span><span class="t"><span class="str">        Integrates the right-hand side</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t241" href="#t241">241</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t242" href="#t242">242</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t243" href="#t243">243</a></span><span class="t"><span class="str">            list of dtype_u: containing the integral as values</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t244" href="#t244">244</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t245" href="#t245">245</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t246" href="#t246">246</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t247" href="#t247">247</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t248" href="#t248">248</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t249" href="#t249">249</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t250" href="#t250">250</a></span><span class="t">        <span class="nam">me</span> <span class="op">=</span> <span class="op">[</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t251" href="#t251">251</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t252" href="#t252">252</a></span><span class="t">        <span class="key">return</span> <span class="nam">me</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t253" href="#t253">253</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t254" href="#t254">254</a></span><span class="t">    <span class="key">def</span> <span class="nam">update_nodes</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t255" href="#t255">255</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t256" href="#t256">256</a></span><span class="t"><span class="str">        Update the u- and f-values at the collocation nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t257" href="#t257">257</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t258" href="#t258">258</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t259" href="#t259">259</a></span><span class="t"><span class="str">            None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t260" href="#t260">260</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t261" href="#t261">261</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t262" href="#t262">262</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t263" href="#t263">263</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t264" href="#t264">264</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t265" href="#t265">265</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t266" href="#t266">266</a></span><span class="t">        <span class="com"># only if the level has been touched before</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t267" href="#t267">267</a></span><span class="t">        <span class="key">assert</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t268" href="#t268">268</a></span><span class="t">        <span class="key">assert</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">sweep</span> <span class="op">&lt;=</span> <span class="num">1</span><span class="op">,</span> <span class="str">"RK schemes are direct solvers. Please perform only 1 iteration!"</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t269" href="#t269">269</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t270" href="#t270">270</a></span><span class="t">        <span class="com"># get number of collocation nodes for easier access</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t271" href="#t271">271</a></span><span class="t">        <span class="nam">M</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t252" href="#t252">252</a></span><span class="t">        <span class="com"># integrate RHS over all collocation nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t253" href="#t253">253</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t254" href="#t254">254</a></span><span class="t">            <span class="com"># new instance of dtype_u, initialize values with 0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t255" href="#t255">255</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t256" href="#t256">256</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t257" href="#t257">257</a></span><span class="t">                <span class="nam">me</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">+=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_full_f</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t258" href="#t258">258</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t259" href="#t259">259</a></span><span class="t">        <span class="key">return</span> <span class="nam">me</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t260" href="#t260">260</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t261" href="#t261">261</a></span><span class="t">    <span class="key">def</span> <span class="nam">update_nodes</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t262" href="#t262">262</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t263" href="#t263">263</a></span><span class="t"><span class="str">        Update the u- and f-values at the collocation nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t264" href="#t264">264</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t265" href="#t265">265</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t266" href="#t266">266</a></span><span class="t"><span class="str">            None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t267" href="#t267">267</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t268" href="#t268">268</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t269" href="#t269">269</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t270" href="#t270">270</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t271" href="#t271">271</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t272" href="#t272">272</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t273" href="#t273">273</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">0</span><span class="op">,</span> <span class="nam">M</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t274" href="#t274">274</a></span><span class="t">            <span class="com"># build rhs, consisting of the known values from above and new values from previous nodes (at k+1)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t275" href="#t275">275</a></span><span class="t">            <span class="nam">rhs</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t276" href="#t276">276</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t277" href="#t277">277</a></span><span class="t">                <span class="nam">rhs</span> <span class="op">+=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_full_f</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t278" href="#t278">278</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t279" href="#t279">279</a></span><span class="t">            <span class="com"># implicit solve with prefactor stemming from the diagonal of Qd, use previous stage as initial guess</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t280" href="#t280">280</a></span><span class="t">            <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">implicit</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t281" href="#t281">281</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">solve_system</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t282" href="#t282">282</a></span><span class="t">                    <span class="nam">rhs</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t283" href="#t283">283</a></span><span class="t">                <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t284" href="#t284">284</a></span><span class="t">            <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t285" href="#t285">285</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">rhs</span><span class="op">[</span><span class="op">:</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t286" href="#t286">286</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t287" href="#t287">287</a></span><span class="t">            <span class="com"># update function values (we don't usually need to evaluate the RHS at the solution of the step)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t288" href="#t288">288</a></span><span class="t">            <span class="key">if</span> <span class="nam">m</span> <span class="op">&lt;</span> <span class="nam">M</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_solution_stages</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">eval_rhs_at_right_boundary</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t289" href="#t289">289</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">eval_f</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t290" href="#t290">290</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t291" href="#t291">291</a></span><span class="t">        <span class="com"># indicate presence of new values at this level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t292" href="#t292">292</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t273" href="#t273">273</a></span><span class="t">        <span class="com"># only if the level has been touched before</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t274" href="#t274">274</a></span><span class="t">        <span class="key">assert</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t275" href="#t275">275</a></span><span class="t">        <span class="key">assert</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">sweep</span> <span class="op">&lt;=</span> <span class="num">1</span><span class="op">,</span> <span class="str">"RK schemes are direct solvers. Please perform only 1 iteration!"</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t276" href="#t276">276</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t277" href="#t277">277</a></span><span class="t">        <span class="com"># get number of collocation nodes for easier access</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t278" href="#t278">278</a></span><span class="t">        <span class="nam">M</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t279" href="#t279">279</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t280" href="#t280">280</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">0</span><span class="op">,</span> <span class="nam">M</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t281" href="#t281">281</a></span><span class="t">            <span class="com"># build rhs, consisting of the known values from above and new values from previous nodes (at k+1)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t282" href="#t282">282</a></span><span class="t">            <span class="nam">rhs</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t283" href="#t283">283</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t284" href="#t284">284</a></span><span class="t">                <span class="nam">rhs</span> <span class="op">+=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_full_f</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t285" href="#t285">285</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t286" href="#t286">286</a></span><span class="t">            <span class="com"># implicit solve with prefactor stemming from the diagonal of Qd, use previous stage as initial guess</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t287" href="#t287">287</a></span><span class="t">            <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span> <span class="op">!=</span> <span class="num">0</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t288" href="#t288">288</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">solve_system</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t289" href="#t289">289</a></span><span class="t">                    <span class="nam">rhs</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t290" href="#t290">290</a></span><span class="t">                <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t291" href="#t291">291</a></span><span class="t">            <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t292" href="#t292">292</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">rhs</span><span class="op">[</span><span class="op">:</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t293" href="#t293">293</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t294" href="#t294">294</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t295" href="#t295">295</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t296" href="#t296">296</a></span><span class="t">    <span class="key">def</span> <span class="nam">compute_end_point</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t297" href="#t297">297</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t298" href="#t298">298</a></span><span class="t"><span class="str">        In this Runge-Kutta implementation, the solution to the step is always stored in the last node</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t299" href="#t299">299</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t300" href="#t300">300</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">level</span><span class="op">.</span><span class="nam">uend</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t301" href="#t301">301</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t302" href="#t302">302</a></span><span class="t">    <span class="op">@</span><span class="nam">property</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t303" href="#t303">303</a></span><span class="t">    <span class="key">def</span> <span class="nam">level</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t294" href="#t294">294</a></span><span class="t">            <span class="com"># update function values (we don't usually need to evaluate the RHS at the solution of the step)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t295" href="#t295">295</a></span><span class="t">            <span class="key">if</span> <span class="nam">m</span> <span class="op">&lt;</span> <span class="nam">M</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_solution_stages</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">eval_rhs_at_right_boundary</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t296" href="#t296">296</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">eval_f</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t297" href="#t297">297</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t298" href="#t298">298</a></span><span class="t">        <span class="com"># indicate presence of new values at this level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t299" href="#t299">299</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t300" href="#t300">300</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t301" href="#t301">301</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t302" href="#t302">302</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t303" href="#t303">303</a></span><span class="t">    <span class="key">def</span> <span class="nam">compute_end_point</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t304" href="#t304">304</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t305" href="#t305">305</a></span><span class="t"><span class="str">        Returns the current level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t306" href="#t306">306</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t307" href="#t307">307</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t308" href="#t308">308</a></span><span class="t"><span class="str">            pySDC.Level.level: Current level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t309" href="#t309">309</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t310" href="#t310">310</a></span><span class="t">        <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">__level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t311" href="#t311">311</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t312" href="#t312">312</a></span><span class="t">    <span class="op">@</span><span class="nam">level</span><span class="op">.</span><span class="nam">setter</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t313" href="#t313">313</a></span><span class="t">    <span class="key">def</span> <span class="nam">level</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t314" href="#t314">314</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t315" href="#t315">315</a></span><span class="t"><span class="str">        Sets a reference to the current level (done in the initialization of the level)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t316" href="#t316">316</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t317" href="#t317">317</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t318" href="#t318">318</a></span><span class="t"><span class="str">            lvl (pySDC.Level.level): Current level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t319" href="#t319">319</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t320" href="#t320">320</a></span><span class="t">        <span class="key">assert</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">lvl</span><span class="op">,</span> <span class="nam">Level</span><span class="op">)</span><span class="op">,</span> <span class="fst">f"</span><span class="fst">You tried to set the sweeper's level with an instance of </span><span class="op">{</span><span class="nam">type</span><span class="op">(</span><span class="nam">lvl</span><span class="op">)</span><span class="op">}</span><span class="fst">!</span><span class="fst">"</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t321" href="#t321">321</a></span><span class="t">        <span class="key">if</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">restol</span> <span class="op">></span> <span class="num">0</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t322" href="#t322">322</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">restol</span> <span class="op">=</span> <span class="op">-</span><span class="num">1</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t323" href="#t323">323</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">logger</span><span class="op">.</span><span class="nam">warning</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t324" href="#t324">324</a></span><span class="t">                <span class="str">'Overwriting residual tolerance with -1 because RK methods are direct and hence may not compute a residual at all!'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t325" href="#t325">325</a></span><span class="t">            <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t326" href="#t326">326</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t327" href="#t327">327</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">__level</span> <span class="op">=</span> <span class="nam">lvl</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t328" href="#t328">328</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t329" href="#t329">329</a></span><span class="t">    <span class="key">def</span> <span class="nam">predict</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t330" href="#t330">330</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t331" href="#t331">331</a></span><span class="t"><span class="str">        Predictor to fill values at nodes before first sweep</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t332" href="#t332">332</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t305" href="#t305">305</a></span><span class="t"><span class="str">        In this Runge-Kutta implementation, the solution to the step is always stored in the last node</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t306" href="#t306">306</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t307" href="#t307">307</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">level</span><span class="op">.</span><span class="nam">uend</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t308" href="#t308">308</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t309" href="#t309">309</a></span><span class="t">    <span class="op">@</span><span class="nam">property</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t310" href="#t310">310</a></span><span class="t">    <span class="key">def</span> <span class="nam">level</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t311" href="#t311">311</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t312" href="#t312">312</a></span><span class="t"><span class="str">        Returns the current level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t313" href="#t313">313</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t314" href="#t314">314</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t315" href="#t315">315</a></span><span class="t"><span class="str">            pySDC.Level.level: Current level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t316" href="#t316">316</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t317" href="#t317">317</a></span><span class="t">        <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">__level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t318" href="#t318">318</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t319" href="#t319">319</a></span><span class="t">    <span class="op">@</span><span class="nam">level</span><span class="op">.</span><span class="nam">setter</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t320" href="#t320">320</a></span><span class="t">    <span class="key">def</span> <span class="nam">level</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t321" href="#t321">321</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t322" href="#t322">322</a></span><span class="t"><span class="str">        Sets a reference to the current level (done in the initialization of the level)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t323" href="#t323">323</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t324" href="#t324">324</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t325" href="#t325">325</a></span><span class="t"><span class="str">            lvl (pySDC.Level.level): Current level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t326" href="#t326">326</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t327" href="#t327">327</a></span><span class="t">        <span class="key">assert</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">lvl</span><span class="op">,</span> <span class="nam">Level</span><span class="op">)</span><span class="op">,</span> <span class="fst">f"</span><span class="fst">You tried to set the sweeper's level with an instance of </span><span class="op">{</span><span class="nam">type</span><span class="op">(</span><span class="nam">lvl</span><span class="op">)</span><span class="op">}</span><span class="fst">!</span><span class="fst">"</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t328" href="#t328">328</a></span><span class="t">        <span class="key">if</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">restol</span> <span class="op">></span> <span class="num">0</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t329" href="#t329">329</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">restol</span> <span class="op">=</span> <span class="op">-</span><span class="num">1</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t330" href="#t330">330</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">logger</span><span class="op">.</span><span class="nam">warning</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t331" href="#t331">331</a></span><span class="t">                <span class="str">'Overwriting residual tolerance with -1 because RK methods are direct and hence may not compute a residual at all!'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t332" href="#t332">332</a></span><span class="t">            <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t333" href="#t333">333</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t334" href="#t334">334</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t335" href="#t335">335</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t336" href="#t336">336</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t337" href="#t337">337</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t338" href="#t338">338</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t339" href="#t339">339</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t334" href="#t334">334</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">__level</span> <span class="op">=</span> <span class="nam">lvl</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t335" href="#t335">335</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t336" href="#t336">336</a></span><span class="t">    <span class="key">def</span> <span class="nam">predict</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t337" href="#t337">337</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t338" href="#t338">338</a></span><span class="t"><span class="str">        Predictor to fill values at nodes before first sweep</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t339" href="#t339">339</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t340" href="#t340">340</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t341" href="#t341">341</a></span><span class="t">        <span class="com"># indicate that this level is now ready for sweeps</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t342" href="#t342">342</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t343" href="#t343">343</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t341" href="#t341">341</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t342" href="#t342">342</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t343" href="#t343">343</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t344" href="#t344">344</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t345" href="#t345">345</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t346" href="#t346">346</a></span><span class="t"><span class="key">class</span> <span class="nam">RungeKuttaIMEX</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t347" href="#t347">347</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t348" href="#t348">348</a></span><span class="t"><span class="str">    Implicit-explicit split Runge Kutta base class. Only supports methods that share the nodes and weights.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t349" href="#t349">349</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t350" href="#t350">350</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t351" href="#t351">351</a></span><span class="t">    <span class="nam">matrix_explicit</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t352" href="#t352">352</a></span><span class="t">    <span class="nam">ButcherTableauClass_explicit</span> <span class="op">=</span> <span class="nam">ButcherTableau</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t353" href="#t353">353</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t354" href="#t354">354</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">params</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t355" href="#t355">355</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t356" href="#t356">356</a></span><span class="t"><span class="str">        Initialization routine</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t345" href="#t345">345</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t346" href="#t346">346</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t347" href="#t347">347</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t348" href="#t348">348</a></span><span class="t">        <span class="com"># indicate that this level is now ready for sweeps</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t349" href="#t349">349</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t350" href="#t350">350</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t351" href="#t351">351</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t352" href="#t352">352</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t353" href="#t353">353</a></span><span class="t"><span class="key">class</span> <span class="nam">RungeKuttaIMEX</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t354" href="#t354">354</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t355" href="#t355">355</a></span><span class="t"><span class="str">    Implicit-explicit split Runge Kutta base class. Only supports methods that share the nodes and weights.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t356" href="#t356">356</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t357" href="#t357">357</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t358" href="#t358">358</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t359" href="#t359">359</a></span><span class="t"><span class="str">            params: parameters for the sweeper</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t360" href="#t360">360</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t361" href="#t361">361</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">params</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t362" href="#t362">362</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">coll_explicit</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_Butcher_tableau_explicit</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t363" href="#t363">363</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">QE</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll_explicit</span><span class="op">.</span><span class="nam">Qmat</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t358" href="#t358">358</a></span><span class="t">    <span class="nam">matrix_explicit</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t359" href="#t359">359</a></span><span class="t">    <span class="nam">ButcherTableauClass_explicit</span> <span class="op">=</span> <span class="nam">ButcherTableau</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t360" href="#t360">360</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t361" href="#t361">361</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">params</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t362" href="#t362">362</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t363" href="#t363">363</a></span><span class="t"><span class="str">        Initialization routine</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t364" href="#t364">364</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t365" href="#t365">365</a></span><span class="t">    <span class="key">def</span> <span class="nam">predict</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t366" href="#t366">366</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t367" href="#t367">367</a></span><span class="t"><span class="str">        Predictor to fill values at nodes before first sweep</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t368" href="#t368">368</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t369" href="#t369">369</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t370" href="#t370">370</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t371" href="#t371">371</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t372" href="#t372">372</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t373" href="#t373">373</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t374" href="#t374">374</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t375" href="#t375">375</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t376" href="#t376">376</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t377" href="#t377">377</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t378" href="#t378">378</a></span><span class="t">        <span class="com"># indicate that this level is now ready for sweeps</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t379" href="#t379">379</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t380" href="#t380">380</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t381" href="#t381">381</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t382" href="#t382">382</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t383" href="#t383">383</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_Butcher_tableau_explicit</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t384" href="#t384">384</a></span><span class="t">        <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">ButcherTableauClass_explicit</span><span class="op">(</span><span class="nam">cls</span><span class="op">.</span><span class="nam">weights</span><span class="op">,</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">nodes</span><span class="op">,</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">matrix_explicit</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t385" href="#t385">385</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t386" href="#t386">386</a></span><span class="t">    <span class="key">def</span> <span class="nam">integrate</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t387" href="#t387">387</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t388" href="#t388">388</a></span><span class="t"><span class="str">        Integrates the right-hand side</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t389" href="#t389">389</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t390" href="#t390">390</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t391" href="#t391">391</a></span><span class="t"><span class="str">            list of dtype_u: containing the integral as values</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t392" href="#t392">392</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t393" href="#t393">393</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t394" href="#t394">394</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t395" href="#t395">395</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t396" href="#t396">396</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t397" href="#t397">397</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t398" href="#t398">398</a></span><span class="t">        <span class="nam">me</span> <span class="op">=</span> <span class="op">[</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t399" href="#t399">399</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t400" href="#t400">400</a></span><span class="t">        <span class="com"># integrate RHS over all collocation nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t401" href="#t401">401</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t402" href="#t402">402</a></span><span class="t">            <span class="com"># new instance of dtype_u, initialize values with 0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t403" href="#t403">403</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t404" href="#t404">404</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t405" href="#t405">405</a></span><span class="t">                <span class="nam">me</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">+=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t406" href="#t406">406</a></span><span class="t">                    <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">.</span><span class="nam">impl</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll_explicit</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">.</span><span class="nam">expl</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t407" href="#t407">407</a></span><span class="t">                <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t408" href="#t408">408</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t409" href="#t409">409</a></span><span class="t">        <span class="key">return</span> <span class="nam">me</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t410" href="#t410">410</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t411" href="#t411">411</a></span><span class="t">    <span class="key">def</span> <span class="nam">update_nodes</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t412" href="#t412">412</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t413" href="#t413">413</a></span><span class="t"><span class="str">        Update the u- and f-values at the collocation nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t414" href="#t414">414</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t415" href="#t415">415</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t416" href="#t416">416</a></span><span class="t"><span class="str">            None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t417" href="#t417">417</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t418" href="#t418">418</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t419" href="#t419">419</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t420" href="#t420">420</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t421" href="#t421">421</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t422" href="#t422">422</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t423" href="#t423">423</a></span><span class="t">        <span class="com"># only if the level has been touched before</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t424" href="#t424">424</a></span><span class="t">        <span class="key">assert</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t425" href="#t425">425</a></span><span class="t">        <span class="key">assert</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">sweep</span> <span class="op">&lt;=</span> <span class="num">1</span><span class="op">,</span> <span class="str">"RK schemes are direct solvers. Please perform only 1 iteration!"</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t426" href="#t426">426</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t427" href="#t427">427</a></span><span class="t">        <span class="com"># get number of collocation nodes for easier access</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t428" href="#t428">428</a></span><span class="t">        <span class="nam">M</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t365" href="#t365">365</a></span><span class="t"><span class="str">        Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t366" href="#t366">366</a></span><span class="t"><span class="str">            params: parameters for the sweeper</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t367" href="#t367">367</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t368" href="#t368">368</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">params</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t369" href="#t369">369</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">coll_explicit</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_Butcher_tableau_explicit</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t370" href="#t370">370</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">QE</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll_explicit</span><span class="op">.</span><span class="nam">Qmat</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t371" href="#t371">371</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t372" href="#t372">372</a></span><span class="t">    <span class="key">def</span> <span class="nam">predict</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t373" href="#t373">373</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t374" href="#t374">374</a></span><span class="t"><span class="str">        Predictor to fill values at nodes before first sweep</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t375" href="#t375">375</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t376" href="#t376">376</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t377" href="#t377">377</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t378" href="#t378">378</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t379" href="#t379">379</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t380" href="#t380">380</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t381" href="#t381">381</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t382" href="#t382">382</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t383" href="#t383">383</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t384" href="#t384">384</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t385" href="#t385">385</a></span><span class="t">        <span class="com"># indicate that this level is now ready for sweeps</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t386" href="#t386">386</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t387" href="#t387">387</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t388" href="#t388">388</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t389" href="#t389">389</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t390" href="#t390">390</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_Butcher_tableau_explicit</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t391" href="#t391">391</a></span><span class="t">        <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">ButcherTableauClass_explicit</span><span class="op">(</span><span class="nam">cls</span><span class="op">.</span><span class="nam">weights</span><span class="op">,</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">nodes</span><span class="op">,</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">matrix_explicit</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t392" href="#t392">392</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t393" href="#t393">393</a></span><span class="t">    <span class="key">def</span> <span class="nam">integrate</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t394" href="#t394">394</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t395" href="#t395">395</a></span><span class="t"><span class="str">        Integrates the right-hand side</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t396" href="#t396">396</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t397" href="#t397">397</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t398" href="#t398">398</a></span><span class="t"><span class="str">            list of dtype_u: containing the integral as values</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t399" href="#t399">399</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t400" href="#t400">400</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t401" href="#t401">401</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t402" href="#t402">402</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t403" href="#t403">403</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t404" href="#t404">404</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t405" href="#t405">405</a></span><span class="t">        <span class="nam">me</span> <span class="op">=</span> <span class="op">[</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t406" href="#t406">406</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t407" href="#t407">407</a></span><span class="t">        <span class="com"># integrate RHS over all collocation nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t408" href="#t408">408</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t409" href="#t409">409</a></span><span class="t">            <span class="com"># new instance of dtype_u, initialize values with 0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t410" href="#t410">410</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">prob</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t411" href="#t411">411</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t412" href="#t412">412</a></span><span class="t">                <span class="nam">me</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">+=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t413" href="#t413">413</a></span><span class="t">                    <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">.</span><span class="nam">impl</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll_explicit</span><span class="op">.</span><span class="nam">Qmat</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">.</span><span class="nam">expl</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t414" href="#t414">414</a></span><span class="t">                <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t415" href="#t415">415</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t416" href="#t416">416</a></span><span class="t">        <span class="key">return</span> <span class="nam">me</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t417" href="#t417">417</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t418" href="#t418">418</a></span><span class="t">    <span class="key">def</span> <span class="nam">update_nodes</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t419" href="#t419">419</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t420" href="#t420">420</a></span><span class="t"><span class="str">        Update the u- and f-values at the collocation nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t421" href="#t421">421</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t422" href="#t422">422</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t423" href="#t423">423</a></span><span class="t"><span class="str">            None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t424" href="#t424">424</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t425" href="#t425">425</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t426" href="#t426">426</a></span><span class="t">        <span class="com"># get current level and problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t427" href="#t427">427</a></span><span class="t">        <span class="nam">lvl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t428" href="#t428">428</a></span><span class="t">        <span class="nam">prob</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t429" href="#t429">429</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t430" href="#t430">430</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">0</span><span class="op">,</span> <span class="nam">M</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t431" href="#t431">431</a></span><span class="t">            <span class="com"># build rhs, consisting of the known values from above and new values from previous nodes (at k+1)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t432" href="#t432">432</a></span><span class="t">            <span class="nam">rhs</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t433" href="#t433">433</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t434" href="#t434">434</a></span><span class="t">                <span class="nam">rhs</span> <span class="op">+=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">.</span><span class="nam">impl</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QE</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">.</span><span class="nam">expl</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t435" href="#t435">435</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t436" href="#t436">436</a></span><span class="t">            <span class="com"># implicit solve with prefactor stemming from the diagonal of Qd, use previous stage as initial guess</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t437" href="#t437">437</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">solve_system</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t438" href="#t438">438</a></span><span class="t">                <span class="nam">rhs</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t439" href="#t439">439</a></span><span class="t">            <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t440" href="#t440">440</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t441" href="#t441">441</a></span><span class="t">            <span class="com"># update function values (we don't usually need to evaluate the RHS at the solution of the step)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t442" href="#t442">442</a></span><span class="t">            <span class="key">if</span> <span class="nam">m</span> <span class="op">&lt;</span> <span class="nam">M</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_solution_stages</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">eval_rhs_at_right_boundary</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t443" href="#t443">443</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">eval_f</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t444" href="#t444">444</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t445" href="#t445">445</a></span><span class="t">        <span class="com"># indicate presence of new values at this level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t446" href="#t446">446</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t430" href="#t430">430</a></span><span class="t">        <span class="com"># only if the level has been touched before</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t431" href="#t431">431</a></span><span class="t">        <span class="key">assert</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t432" href="#t432">432</a></span><span class="t">        <span class="key">assert</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">sweep</span> <span class="op">&lt;=</span> <span class="num">1</span><span class="op">,</span> <span class="str">"RK schemes are direct solvers. Please perform only 1 iteration!"</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t433" href="#t433">433</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t434" href="#t434">434</a></span><span class="t">        <span class="com"># get number of collocation nodes for easier access</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t435" href="#t435">435</a></span><span class="t">        <span class="nam">M</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t436" href="#t436">436</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t437" href="#t437">437</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">0</span><span class="op">,</span> <span class="nam">M</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t438" href="#t438">438</a></span><span class="t">            <span class="com"># build rhs, consisting of the known values from above and new values from previous nodes (at k+1)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t439" href="#t439">439</a></span><span class="t">            <span class="nam">rhs</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t440" href="#t440">440</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t441" href="#t441">441</a></span><span class="t">                <span class="nam">rhs</span> <span class="op">+=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">.</span><span class="nam">impl</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QE</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span><span class="op">.</span><span class="nam">expl</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t442" href="#t442">442</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t443" href="#t443">443</a></span><span class="t">            <span class="com"># implicit solve with prefactor stemming from the diagonal of Qd, use previous stage as initial guess</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t444" href="#t444">444</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">solve_system</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t445" href="#t445">445</a></span><span class="t">                <span class="nam">rhs</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t446" href="#t446">446</a></span><span class="t">            <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t447" href="#t447">447</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t448" href="#t448">448</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t449" href="#t449">449</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t450" href="#t450">450</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t451" href="#t451">451</a></span><span class="t"><span class="key">class</span> <span class="nam">ForwardEuler</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t452" href="#t452">452</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t453" href="#t453">453</a></span><span class="t"><span class="str">    Forward Euler. Still a classic.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t448" href="#t448">448</a></span><span class="t">            <span class="com"># update function values (we don't usually need to evaluate the RHS at the solution of the step)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t449" href="#t449">449</a></span><span class="t">            <span class="key">if</span> <span class="nam">m</span> <span class="op">&lt;</span> <span class="nam">M</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_solution_stages</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">eval_rhs_at_right_boundary</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t450" href="#t450">450</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">eval_f</span><span class="op">(</span><span class="nam">lvl</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t451" href="#t451">451</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t452" href="#t452">452</a></span><span class="t">        <span class="com"># indicate presence of new values at this level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t453" href="#t453">453</a></span><span class="t">        <span class="nam">lvl</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t454" href="#t454">454</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t455" href="#t455">455</a></span><span class="t"><span class="str">    Not very stable first order method.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t456" href="#t456">456</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t455" href="#t455">455</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t456" href="#t456">456</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t457" href="#t457">457</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t458" href="#t458">458</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"FE"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t459" href="#t459">459</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t460" href="#t460">460</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t458" href="#t458">458</a></span><span class="t"><span class="key">class</span> <span class="nam">ForwardEuler</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t459" href="#t459">459</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t460" href="#t460">460</a></span><span class="t"><span class="str">    Forward Euler. Still a classic.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t461" href="#t461">461</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t462" href="#t462">462</a></span><span class="t"><span class="key">class</span> <span class="nam">BackwardEuler</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t463" href="#t463">463</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t464" href="#t464">464</a></span><span class="t"><span class="str">    Backward Euler. A favorite among true connoisseurs of the heat equation.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t465" href="#t465">465</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t466" href="#t466">466</a></span><span class="t"><span class="str">    A-stable first order method.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t467" href="#t467">467</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t462" href="#t462">462</a></span><span class="t"><span class="str">    Not very stable first order method.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t463" href="#t463">463</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t464" href="#t464">464</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t465" href="#t465">465</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"FE"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t466" href="#t466">466</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t467" href="#t467">467</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t468" href="#t468">468</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t469" href="#t469">469</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"BE"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t470" href="#t470">470</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t471" href="#t471">471</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t469" href="#t469">469</a></span><span class="t"><span class="key">class</span> <span class="nam">BackwardEuler</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t470" href="#t470">470</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t471" href="#t471">471</a></span><span class="t"><span class="str">    Backward Euler. A favorite among true connoisseurs of the heat equation.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t472" href="#t472">472</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t473" href="#t473">473</a></span><span class="t"><span class="key">class</span> <span class="nam">CrankNicholson</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t474" href="#t474">474</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t475" href="#t475">475</a></span><span class="t"><span class="str">    Implicit Runge-Kutta method of second order, A-stable.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t476" href="#t476">476</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t477" href="#t477">477</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t478" href="#t478">478</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"CN"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t479" href="#t479">479</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t480" href="#t480">480</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t481" href="#t481">481</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t482" href="#t482">482</a></span><span class="t"><span class="key">class</span> <span class="nam">ExplicitMidpointMethod</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t483" href="#t483">483</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t484" href="#t484">484</a></span><span class="t"><span class="str">    Explicit Runge-Kutta method of second order.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t485" href="#t485">485</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t486" href="#t486">486</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t487" href="#t487">487</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"RK2"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t488" href="#t488">488</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t489" href="#t489">489</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t490" href="#t490">490</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t491" href="#t491">491</a></span><span class="t"><span class="key">class</span> <span class="nam">ImplicitMidpointMethod</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t492" href="#t492">492</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t493" href="#t493">493</a></span><span class="t"><span class="str">    Implicit Runge-Kutta method of second order.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t494" href="#t494">494</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t495" href="#t495">495</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t496" href="#t496">496</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"IMP"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t497" href="#t497">497</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t498" href="#t498">498</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t499" href="#t499">499</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t500" href="#t500">500</a></span><span class="t"><span class="key">class</span> <span class="nam">RK4</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t501" href="#t501">501</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t502" href="#t502">502</a></span><span class="t"><span class="str">    Explicit Runge-Kutta of fourth order: Everybody's darling.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t503" href="#t503">503</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t504" href="#t504">504</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t505" href="#t505">505</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"RK4"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t506" href="#t506">506</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t507" href="#t507">507</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t508" href="#t508">508</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t509" href="#t509">509</a></span><span class="t"><span class="key">class</span> <span class="nam">Heun_Euler</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t510" href="#t510">510</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t511" href="#t511">511</a></span><span class="t"><span class="str">    Second order explicit embedded Runge-Kutta method.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t512" href="#t512">512</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t513" href="#t513">513</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t514" href="#t514">514</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"HEUN"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t515" href="#t515">515</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t516" href="#t516">516</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t517" href="#t517">517</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t518" href="#t518">518</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t519" href="#t519">519</a></span><span class="t">        <span class="key">return</span> <span class="num">2</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t473" href="#t473">473</a></span><span class="t"><span class="str">    A-stable first order method.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t474" href="#t474">474</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t475" href="#t475">475</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t476" href="#t476">476</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"BE"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t477" href="#t477">477</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t478" href="#t478">478</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t479" href="#t479">479</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t480" href="#t480">480</a></span><span class="t"><span class="key">class</span> <span class="nam">CrankNicholson</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t481" href="#t481">481</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t482" href="#t482">482</a></span><span class="t"><span class="str">    Implicit Runge-Kutta method of second order, A-stable.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t483" href="#t483">483</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t484" href="#t484">484</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t485" href="#t485">485</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"CN"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t486" href="#t486">486</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t487" href="#t487">487</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t488" href="#t488">488</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t489" href="#t489">489</a></span><span class="t"><span class="key">class</span> <span class="nam">ExplicitMidpointMethod</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t490" href="#t490">490</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t491" href="#t491">491</a></span><span class="t"><span class="str">    Explicit Runge-Kutta method of second order.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t492" href="#t492">492</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t493" href="#t493">493</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t494" href="#t494">494</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"RK2"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t495" href="#t495">495</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t496" href="#t496">496</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t497" href="#t497">497</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t498" href="#t498">498</a></span><span class="t"><span class="key">class</span> <span class="nam">ImplicitMidpointMethod</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t499" href="#t499">499</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t500" href="#t500">500</a></span><span class="t"><span class="str">    Implicit Runge-Kutta method of second order.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t501" href="#t501">501</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t502" href="#t502">502</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t503" href="#t503">503</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"IMP"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t504" href="#t504">504</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t505" href="#t505">505</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t506" href="#t506">506</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t507" href="#t507">507</a></span><span class="t"><span class="key">class</span> <span class="nam">RK4</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t508" href="#t508">508</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t509" href="#t509">509</a></span><span class="t"><span class="str">    Explicit Runge-Kutta of fourth order: Everybody's darling.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t510" href="#t510">510</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t511" href="#t511">511</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t512" href="#t512">512</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"RK4"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t513" href="#t513">513</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t514" href="#t514">514</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t515" href="#t515">515</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t516" href="#t516">516</a></span><span class="t"><span class="key">class</span> <span class="nam">Heun_Euler</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t517" href="#t517">517</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t518" href="#t518">518</a></span><span class="t"><span class="str">    Second order explicit embedded Runge-Kutta method.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t519" href="#t519">519</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t520" href="#t520">520</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t521" href="#t521">521</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t522" href="#t522">522</a></span><span class="t"><span class="key">class</span> <span class="nam">Cash_Karp</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t523" href="#t523">523</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t524" href="#t524">524</a></span><span class="t"><span class="str">    Fifth order explicit embedded Runge-Kutta. See [here](https://doi.org/10.1145/79505.79507).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t525" href="#t525">525</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t526" href="#t526">526</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t527" href="#t527">527</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"CashKarp"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t528" href="#t528">528</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t529" href="#t529">529</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t530" href="#t530">530</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t531" href="#t531">531</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t532" href="#t532">532</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t533" href="#t533">533</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t534" href="#t534">534</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t535" href="#t535">535</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t536" href="#t536">536</a></span><span class="t"><span class="key">class</span> <span class="nam">DIRK43</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t537" href="#t537">537</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t538" href="#t538">538</a></span><span class="t"><span class="str">    Embedded A-stable diagonally implicit RK pair of order 3 and 4.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t539" href="#t539">539</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t540" href="#t540">540</a></span><span class="t"><span class="str">    Taken from [here](https://doi.org/10.1007/BF01934920).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t541" href="#t541">541</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t521" href="#t521">521</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"HEUN"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t522" href="#t522">522</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t523" href="#t523">523</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t524" href="#t524">524</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t525" href="#t525">525</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t526" href="#t526">526</a></span><span class="t">        <span class="key">return</span> <span class="num">2</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t527" href="#t527">527</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t528" href="#t528">528</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t529" href="#t529">529</a></span><span class="t"><span class="key">class</span> <span class="nam">Cash_Karp</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t530" href="#t530">530</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t531" href="#t531">531</a></span><span class="t"><span class="str">    Fifth order explicit embedded Runge-Kutta. See [here](https://doi.org/10.1145/79505.79507).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t532" href="#t532">532</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t533" href="#t533">533</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t534" href="#t534">534</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"CashKarp"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t535" href="#t535">535</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t536" href="#t536">536</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t537" href="#t537">537</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t538" href="#t538">538</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t539" href="#t539">539</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t540" href="#t540">540</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t541" href="#t541">541</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t542" href="#t542">542</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t543" href="#t543">543</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"EDIRK43"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t544" href="#t544">544</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t545" href="#t545">545</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t543" href="#t543">543</a></span><span class="t"><span class="key">class</span> <span class="nam">DIRK43</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t544" href="#t544">544</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t545" href="#t545">545</a></span><span class="t"><span class="str">    Embedded A-stable diagonally implicit RK pair of order 3 and 4.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t546" href="#t546">546</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t547" href="#t547">547</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t548" href="#t548">548</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t549" href="#t549">549</a></span><span class="t">        <span class="key">return</span> <span class="num">4</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t550" href="#t550">550</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t551" href="#t551">551</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t552" href="#t552">552</a></span><span class="t"><span class="key">class</span> <span class="nam">DIRK43_2</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t553" href="#t553">553</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t554" href="#t554">554</a></span><span class="t"><span class="str">    L-stable Diagonally Implicit RK method with four stages of order 3.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t555" href="#t555">555</a></span><span class="t"><span class="str">    Taken from [here](https://en.wikipedia.org/wiki/List_of_Runge%E2%80%93Kutta_methods).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t556" href="#t556">556</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t547" href="#t547">547</a></span><span class="t"><span class="str">    Taken from [here](https://doi.org/10.1007/BF01934920).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t548" href="#t548">548</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t549" href="#t549">549</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t550" href="#t550">550</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"EDIRK43"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t551" href="#t551">551</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t552" href="#t552">552</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t553" href="#t553">553</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t554" href="#t554">554</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t555" href="#t555">555</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t556" href="#t556">556</a></span><span class="t">        <span class="key">return</span> <span class="num">4</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t557" href="#t557">557</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t558" href="#t558">558</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"DIRK43"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t559" href="#t559">559</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t560" href="#t560">560</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t561" href="#t561">561</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t562" href="#t562">562</a></span><span class="t"><span class="key">class</span> <span class="nam">EDIRK4</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t563" href="#t563">563</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t564" href="#t564">564</a></span><span class="t"><span class="str">    Stiffly accurate, fourth-order EDIRK with four stages. Taken from</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t565" href="#t565">565</a></span><span class="t"><span class="str">    [here](https://ntrs.nasa.gov/citations/20160005923), second one in eq. (216).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t566" href="#t566">566</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t558" href="#t558">558</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t559" href="#t559">559</a></span><span class="t"><span class="key">class</span> <span class="nam">DIRK43_2</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t560" href="#t560">560</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t561" href="#t561">561</a></span><span class="t"><span class="str">    L-stable Diagonally Implicit RK method with four stages of order 3.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t562" href="#t562">562</a></span><span class="t"><span class="str">    Taken from [here](https://en.wikipedia.org/wiki/List_of_Runge%E2%80%93Kutta_methods).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t563" href="#t563">563</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t564" href="#t564">564</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t565" href="#t565">565</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"DIRK43"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t566" href="#t566">566</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t567" href="#t567">567</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t568" href="#t568">568</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"EDIRK4"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t569" href="#t569">569</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t570" href="#t570">570</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t571" href="#t571">571</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t572" href="#t572">572</a></span><span class="t"><span class="key">class</span> <span class="nam">ESDIRK53</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t573" href="#t573">573</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t574" href="#t574">574</a></span><span class="t"><span class="str">    A-stable embedded RK pair of orders 5 and 3, ESDIRK5(3)6L[2]SA.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t575" href="#t575">575</a></span><span class="t"><span class="str">    Taken from [here](https://ntrs.nasa.gov/citations/20160005923)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t576" href="#t576">576</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t568" href="#t568">568</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t569" href="#t569">569</a></span><span class="t"><span class="key">class</span> <span class="nam">EDIRK4</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t570" href="#t570">570</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t571" href="#t571">571</a></span><span class="t"><span class="str">    Stiffly accurate, fourth-order EDIRK with four stages. Taken from</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t572" href="#t572">572</a></span><span class="t"><span class="str">    [here](https://ntrs.nasa.gov/citations/20160005923), second one in eq. (216).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t573" href="#t573">573</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t574" href="#t574">574</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t575" href="#t575">575</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"EDIRK4"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t576" href="#t576">576</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t577" href="#t577">577</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t578" href="#t578">578</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ESDIRK53"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t579" href="#t579">579</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t580" href="#t580">580</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t581" href="#t581">581</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t582" href="#t582">582</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t583" href="#t583">583</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t584" href="#t584">584</a></span><span class="t">        <span class="key">return</span> <span class="num">4</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t585" href="#t585">585</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t586" href="#t586">586</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t587" href="#t587">587</a></span><span class="t"><span class="key">class</span> <span class="nam">ESDIRK43</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t588" href="#t588">588</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t589" href="#t589">589</a></span><span class="t"><span class="str">    A-stable embedded RK pair of orders 4 and 3, ESDIRK4(3)6L[2]SA.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t590" href="#t590">590</a></span><span class="t"><span class="str">    Taken from [here](https://ntrs.nasa.gov/citations/20160005923)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t591" href="#t591">591</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t578" href="#t578">578</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t579" href="#t579">579</a></span><span class="t"><span class="key">class</span> <span class="nam">ESDIRK53</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t580" href="#t580">580</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t581" href="#t581">581</a></span><span class="t"><span class="str">    A-stable embedded RK pair of orders 5 and 3, ESDIRK5(3)6L[2]SA.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t582" href="#t582">582</a></span><span class="t"><span class="str">    Taken from [here](https://ntrs.nasa.gov/citations/20160005923)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t583" href="#t583">583</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t584" href="#t584">584</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t585" href="#t585">585</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ESDIRK53"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t586" href="#t586">586</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t587" href="#t587">587</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t588" href="#t588">588</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t589" href="#t589">589</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t590" href="#t590">590</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t591" href="#t591">591</a></span><span class="t">        <span class="key">return</span> <span class="num">4</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t592" href="#t592">592</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t593" href="#t593">593</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ESDIRK43"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t594" href="#t594">594</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t595" href="#t595">595</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t596" href="#t596">596</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t597" href="#t597">597</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t598" href="#t598">598</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t599" href="#t599">599</a></span><span class="t">        <span class="key">return</span> <span class="num">4</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t600" href="#t600">600</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t601" href="#t601">601</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t602" href="#t602">602</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SAERK</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t603" href="#t603">603</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t604" href="#t604">604</a></span><span class="t"><span class="str">    Explicit part of the ARK54 scheme.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t605" href="#t605">605</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t606" href="#t606">606</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t607" href="#t607">607</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ARK548L2SAERK"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t608" href="#t608">608</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t609" href="#t609">609</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t610" href="#t610">610</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t611" href="#t611">611</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t612" href="#t612">612</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t613" href="#t613">613</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t614" href="#t614">614</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t615" href="#t615">615</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t616" href="#t616">616</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SAESDIRK</span><span class="op">(</span><span class="nam">ARK548L2SAERK</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t617" href="#t617">617</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t618" href="#t618">618</a></span><span class="t"><span class="str">    Implicit part of the ARK54 scheme. Be careful with the embedded scheme. It seems that both schemes are order 5 as opposed to 5 and 4 as claimed. This may cause issues when doing adaptive time-stepping.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t619" href="#t619">619</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t620" href="#t620">620</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t621" href="#t621">621</a></span><span class="t">    <span class="nam">generator_IMP</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ARK548L2SAESDIRK"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t622" href="#t622">622</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator_IMP</span><span class="op">.</span><span class="nam">Q</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t623" href="#t623">623</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t624" href="#t624">624</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t625" href="#t625">625</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK54</span><span class="op">(</span><span class="nam">RungeKuttaIMEX</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t626" href="#t626">626</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t627" href="#t627">627</a></span><span class="t"><span class="str">    Pair of pairs of ARK5(4)8L[2]SA-ERK and ARK5(4)8L[2]SA-ESDIRK from [here](https://doi.org/10.1016/S0168-9274(02)00138-1).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t628" href="#t628">628</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t629" href="#t629">629</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t630" href="#t630">630</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t631" href="#t631">631</a></span><span class="t">    <span class="nam">ButcherTableauClass_explicit</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t632" href="#t632">632</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t633" href="#t633">633</a></span><span class="t">    <span class="nam">nodes</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK</span><span class="op">.</span><span class="nam">nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t634" href="#t634">634</a></span><span class="t">    <span class="nam">weights</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK</span><span class="op">.</span><span class="nam">weights</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t635" href="#t635">635</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t636" href="#t636">636</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">ARK548L2SAESDIRK</span><span class="op">.</span><span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t637" href="#t637">637</a></span><span class="t">    <span class="nam">matrix_explicit</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK</span><span class="op">.</span><span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t638" href="#t638">638</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t639" href="#t639">639</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t640" href="#t640">640</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t641" href="#t641">641</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t593" href="#t593">593</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t594" href="#t594">594</a></span><span class="t"><span class="key">class</span> <span class="nam">ESDIRK43</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t595" href="#t595">595</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t596" href="#t596">596</a></span><span class="t"><span class="str">    A-stable embedded RK pair of orders 4 and 3, ESDIRK4(3)6L[2]SA.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t597" href="#t597">597</a></span><span class="t"><span class="str">    Taken from [here](https://ntrs.nasa.gov/citations/20160005923)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t598" href="#t598">598</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t599" href="#t599">599</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t600" href="#t600">600</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ESDIRK43"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t601" href="#t601">601</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t602" href="#t602">602</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t603" href="#t603">603</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t604" href="#t604">604</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t605" href="#t605">605</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t606" href="#t606">606</a></span><span class="t">        <span class="key">return</span> <span class="num">4</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t607" href="#t607">607</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t608" href="#t608">608</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t609" href="#t609">609</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SAERK</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t610" href="#t610">610</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t611" href="#t611">611</a></span><span class="t"><span class="str">    Explicit part of the ARK54 scheme.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t612" href="#t612">612</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t613" href="#t613">613</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t614" href="#t614">614</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ARK548L2SAERK"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t615" href="#t615">615</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t616" href="#t616">616</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t617" href="#t617">617</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t618" href="#t618">618</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t619" href="#t619">619</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t620" href="#t620">620</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t621" href="#t621">621</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t622" href="#t622">622</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t623" href="#t623">623</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SAESDIRK</span><span class="op">(</span><span class="nam">ARK548L2SAERK</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t624" href="#t624">624</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t625" href="#t625">625</a></span><span class="t"><span class="str">    Implicit part of the ARK54 scheme. Be careful with the embedded scheme. It seems that both schemes are order 5 as opposed to 5 and 4 as claimed. This may cause issues when doing adaptive time-stepping.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t626" href="#t626">626</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t627" href="#t627">627</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t628" href="#t628">628</a></span><span class="t">    <span class="nam">generator_IMP</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ARK548L2SAESDIRK"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t629" href="#t629">629</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator_IMP</span><span class="op">.</span><span class="nam">Q</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t630" href="#t630">630</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t631" href="#t631">631</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t632" href="#t632">632</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK54</span><span class="op">(</span><span class="nam">RungeKuttaIMEX</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t633" href="#t633">633</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t634" href="#t634">634</a></span><span class="t"><span class="str">    Pair of pairs of ARK5(4)8L[2]SA-ERK and ARK5(4)8L[2]SA-ESDIRK from [here](https://doi.org/10.1016/S0168-9274(02)00138-1).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t635" href="#t635">635</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t636" href="#t636">636</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t637" href="#t637">637</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t638" href="#t638">638</a></span><span class="t">    <span class="nam">ButcherTableauClass_explicit</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t639" href="#t639">639</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t640" href="#t640">640</a></span><span class="t">    <span class="nam">nodes</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK</span><span class="op">.</span><span class="nam">nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t641" href="#t641">641</a></span><span class="t">    <span class="nam">weights</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK</span><span class="op">.</span><span class="nam">weights</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t642" href="#t642">642</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t643" href="#t643">643</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t644" href="#t644">644</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SAESDIRK2</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t645" href="#t645">645</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t646" href="#t646">646</a></span><span class="t"><span class="str">    Stiffly accurate singly diagonally L-stable implicit embedded Runge-Kutta pair of orders 5 and 4 with explicit first stage from [here](https://doi.org/10.1016/j.apnum.2018.10.007).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t647" href="#t647">647</a></span><span class="t"><span class="str">    This method is part of the IMEX method ARK548L2SA.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t648" href="#t648">648</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t643" href="#t643">643</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">ARK548L2SAESDIRK</span><span class="op">.</span><span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t644" href="#t644">644</a></span><span class="t">    <span class="nam">matrix_explicit</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK</span><span class="op">.</span><span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t645" href="#t645">645</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t646" href="#t646">646</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t647" href="#t647">647</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t648" href="#t648">648</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t649" href="#t649">649</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t650" href="#t650">650</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ARK548L2SAESDIRK2"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t651" href="#t651">651</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t652" href="#t652">652</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t653" href="#t653">653</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t654" href="#t654">654</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t655" href="#t655">655</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t656" href="#t656">656</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t657" href="#t657">657</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t658" href="#t658">658</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t659" href="#t659">659</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SAERK2</span><span class="op">(</span><span class="nam">ARK548L2SAESDIRK2</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t660" href="#t660">660</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t661" href="#t661">661</a></span><span class="t"><span class="str">    Explicit embedded pair of Runge-Kutta methods of orders 5 and 4 from [here](https://doi.org/10.1016/j.apnum.2018.10.007).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t662" href="#t662">662</a></span><span class="t"><span class="str">    This method is part of the IMEX method ARK548L2SA.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t663" href="#t663">663</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t650" href="#t650">650</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t651" href="#t651">651</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SAESDIRK2</span><span class="op">(</span><span class="nam">RungeKutta</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t652" href="#t652">652</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t653" href="#t653">653</a></span><span class="t"><span class="str">    Stiffly accurate singly diagonally L-stable implicit embedded Runge-Kutta pair of orders 5 and 4 with explicit first stage from [here](https://doi.org/10.1016/j.apnum.2018.10.007).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t654" href="#t654">654</a></span><span class="t"><span class="str">    This method is part of the IMEX method ARK548L2SA.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t655" href="#t655">655</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t656" href="#t656">656</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t657" href="#t657">657</a></span><span class="t">    <span class="nam">generator</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ARK548L2SAESDIRK2"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t658" href="#t658">658</a></span><span class="t">    <span class="nam">nodes</span><span class="op">,</span> <span class="nam">weights</span><span class="op">,</span> <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator</span><span class="op">.</span><span class="nam">genCoeffs</span><span class="op">(</span><span class="nam">embedded</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t659" href="#t659">659</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t660" href="#t660">660</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t661" href="#t661">661</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t662" href="#t662">662</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t663" href="#t663">663</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t664" href="#t664">664</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t665" href="#t665">665</a></span><span class="t">    <span class="nam">generator_EXP</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ARK548L2SAERK2"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t666" href="#t666">666</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator_EXP</span><span class="op">.</span><span class="nam">Q</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t667" href="#t667">667</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t668" href="#t668">668</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t669" href="#t669">669</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SA</span><span class="op">(</span><span class="nam">RungeKuttaIMEX</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t670" href="#t670">670</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t671" href="#t671">671</a></span><span class="t"><span class="str">    IMEX Runge-Kutta method of order 5 based on the explicit method ARK548L2SAERK2 and the implicit method</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t672" href="#t672">672</a></span><span class="t"><span class="str">    ARK548L2SAESDIRK2 from [here](https://doi.org/10.1016/j.apnum.2018.10.007).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t673" href="#t673">673</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t674" href="#t674">674</a></span><span class="t"><span class="str">    According to Kennedy and Carpenter (see reference), the two IMEX RK methods of order 5 are the only ones available</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t675" href="#t675">675</a></span><span class="t"><span class="str">    as of now. And we are not aware of higher order ones. This one is newer then the other one and apparently better.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t676" href="#t676">676</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t677" href="#t677">677</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t678" href="#t678">678</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t679" href="#t679">679</a></span><span class="t">    <span class="nam">ButcherTableauClass_explicit</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t665" href="#t665">665</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t666" href="#t666">666</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SAERK2</span><span class="op">(</span><span class="nam">ARK548L2SAESDIRK2</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t667" href="#t667">667</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t668" href="#t668">668</a></span><span class="t"><span class="str">    Explicit embedded pair of Runge-Kutta methods of orders 5 and 4 from [here](https://doi.org/10.1016/j.apnum.2018.10.007).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t669" href="#t669">669</a></span><span class="t"><span class="str">    This method is part of the IMEX method ARK548L2SA.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t670" href="#t670">670</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t671" href="#t671">671</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t672" href="#t672">672</a></span><span class="t">    <span class="nam">generator_EXP</span> <span class="op">=</span> <span class="nam">RK_SCHEMES</span><span class="op">[</span><span class="str">"ARK548L2SAERK2"</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t673" href="#t673">673</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">generator_EXP</span><span class="op">.</span><span class="nam">Q</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t674" href="#t674">674</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t675" href="#t675">675</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t676" href="#t676">676</a></span><span class="t"><span class="key">class</span> <span class="nam">ARK548L2SA</span><span class="op">(</span><span class="nam">RungeKuttaIMEX</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t677" href="#t677">677</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t678" href="#t678">678</a></span><span class="t"><span class="str">    IMEX Runge-Kutta method of order 5 based on the explicit method ARK548L2SAERK2 and the implicit method</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t679" href="#t679">679</a></span><span class="t"><span class="str">    ARK548L2SAESDIRK2 from [here](https://doi.org/10.1016/j.apnum.2018.10.007).</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t680" href="#t680">680</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t681" href="#t681">681</a></span><span class="t">    <span class="nam">nodes</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK2</span><span class="op">.</span><span class="nam">nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t682" href="#t682">682</a></span><span class="t">    <span class="nam">weights</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK2</span><span class="op">.</span><span class="nam">weights</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t683" href="#t683">683</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t684" href="#t684">684</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">ARK548L2SAESDIRK2</span><span class="op">.</span><span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t685" href="#t685">685</a></span><span class="t">    <span class="nam">matrix_explicit</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK2</span><span class="op">.</span><span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t686" href="#t686">686</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t687" href="#t687">687</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t688" href="#t688">688</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t689" href="#t689">689</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t681" href="#t681">681</a></span><span class="t"><span class="str">    According to Kennedy and Carpenter (see reference), the two IMEX RK methods of order 5 are the only ones available</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t682" href="#t682">682</a></span><span class="t"><span class="str">    as of now. And we are not aware of higher order ones. This one is newer then the other one and apparently better.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t683" href="#t683">683</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t684" href="#t684">684</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t685" href="#t685">685</a></span><span class="t">    <span class="nam">ButcherTableauClass</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t686" href="#t686">686</a></span><span class="t">    <span class="nam">ButcherTableauClass_explicit</span> <span class="op">=</span> <span class="nam">ButcherTableauEmbedded</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t687" href="#t687">687</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t688" href="#t688">688</a></span><span class="t">    <span class="nam">nodes</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK2</span><span class="op">.</span><span class="nam">nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t689" href="#t689">689</a></span><span class="t">    <span class="nam">weights</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK2</span><span class="op">.</span><span class="nam">weights</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t690" href="#t690">690</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t691" href="#t691">691</a></span><span class="t">    <span class="nam">matrix</span> <span class="op">=</span> <span class="nam">ARK548L2SAESDIRK2</span><span class="op">.</span><span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t692" href="#t692">692</a></span><span class="t">    <span class="nam">matrix_explicit</span> <span class="op">=</span> <span class="nam">ARK548L2SAERK2</span><span class="op">.</span><span class="nam">matrix</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t693" href="#t693">693</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t694" href="#t694">694</a></span><span class="t">    <span class="op">@</span><span class="nam">classmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t695" href="#t695">695</a></span><span class="t">    <span class="key">def</span> <span class="nam">get_update_order</span><span class="op">(</span><span class="nam">cls</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t696" href="#t696">696</a></span><span class="t">        <span class="key">return</span> <span class="num">5</span>&nbsp;</span><span class="r"></span></p>
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"implementations.problem_classes.GeneralizedFisher_1D_PETSc.petsc_fisher_multiimplicit.F", false]], "f() (bdf2 method)": [[141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.f", false]], "f() (dirk method)": [[135, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk.f", false], [141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk.f", false]], "f() (protherorobinson method)": [[146, "implementations.problem_classes.odeScalar.ProtheroRobinson.f", false]], "f() (protherorobinsonautonomous method)": [[147, "implementations.problem_classes.odeSystem.ProtheroRobinsonAutonomous.f", false]], "f() (trapezoidal method)": [[141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal.f", false]], "f1 (fenics_grayscott attribute)": [[113, "implementations.problem_classes.GrayScott_1D_FEniCS_implicit.fenics_grayscott.F1", false]], "f2 (fenics_grayscott attribute)": [[113, "implementations.problem_classes.GrayScott_1D_FEniCS_implicit.fenics_grayscott.F2", false]], "f_fast() (rk_imex method)": [[135, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_fast", false], [141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_fast", false]], "f_fast() (splitexplicit method)": [[141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fast", false]], "f_fast_solve() (rk_imex method)": [[135, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_fast_solve", false], [141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_fast_solve", false]], "f_fastmom() (splitexplicit method)": [[141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fastMom", false]], "f_fastther() (splitexplicit method)": [[141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fastTher", false]], "f_init (problem property)": [[50, "core.problem.Problem.f_init", false]], "f_lin() (protherorobinson method)": [[146, "implementations.problem_classes.odeScalar.ProtheroRobinson.f_LIN", false]], "f_lin() (protherorobinsonautonomous method)": [[147, "implementations.problem_classes.odeSystem.ProtheroRobinsonAutonomous.f_LIN", false]], "f_nonlin() (protherorobinson method)": [[146, "implementations.problem_classes.odeScalar.ProtheroRobinson.f_NONLIN", false]], "f_nonlin() (protherorobinsonautonomous method)": [[147, "implementations.problem_classes.odeSystem.ProtheroRobinsonAutonomous.f_NONLIN", false]], "f_slow() (rk_imex method)": [[135, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_slow", false], [141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_slow", false]], "f_slow() (splitexplicit method)": [[141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_slow", false]], "f_solve() (bdf2 method)": [[141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.f_solve", false]], "f_solve() (dirk method)": [[135, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk.f_solve", false], [141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk.f_solve", false]], "f_solve() (trapezoidal method)": [[141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal.f_solve", false]], "fast_interactions() (penningtrap static method)": [[126, "implementations.problem_classes.PenningTrap_3D.penningtrap.fast_interactions", false]], "fenics_grayscott (class in implementations.problem_classes.grayscott_1d_fenics_implicit)": [[113, "implementations.problem_classes.GrayScott_1D_FEniCS_implicit.fenics_grayscott", false]], "fenics_heat (class in implementations.problem_classes.heatequation_1d_fenics_matrix_forced)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat", false]], "fenics_heat_mass (class in implementations.problem_classes.heatequation_1d_fenics_matrix_forced)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass", false]], "fenics_heat_mass_timebc (class in implementations.problem_classes.heatequation_1d_fenics_matrix_forced)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc", false]], "fenics_mesh (class in implementations.datatype_classes.fenics_mesh)": [[87, "implementations.datatype_classes.fenics_mesh.fenics_mesh", false]], "fenics_vortex_2d (class in implementations.problem_classes.vorticityvelocity_2d_fenics_periodic)": [[131, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d", false]], "fenics_vortex_2d_mass (class in 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"implementations.problem_classes.generic_MPIFFT_Laplacian.IMEX_Laplacian_MPIFFT.fft", false]], "fft (nonlinearschroedinger_imex attribute)": [[124, "implementations.problem_classes.NonlinearSchroedinger_MPIFFT.nonlinearschroedinger_imex.fft", false]], "fft_backend (imex_laplacian_mpifft attribute)": [[143, "implementations.problem_classes.generic_MPIFFT_Laplacian.IMEX_Laplacian_MPIFFT.fft_backend", false]], "fft_comm_backend (imex_laplacian_mpifft attribute)": [[143, "implementations.problem_classes.generic_MPIFFT_Laplacian.IMEX_Laplacian_MPIFFT.fft_comm_backend", false]], "fft_to_fft (class in implementations.transfer_classes.transfermesh_mpifft)": [[169, "implementations.transfer_classes.TransferMesh_MPIFFT.fft_to_fft", false]], "fields (class in implementations.datatype_classes.particles)": [[89, "implementations.datatype_classes.particles.fields", false]], "fields.electric (class in implementations.datatype_classes.particles)": [[89, 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(bdf2 method)": [[135, "implementations.problem_classes.acoustic_helpers.standard_integrators.bdf2.firsttimestep", false], [141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.firsttimestep", false]], "fisher_full (class in implementations.problem_classes.generalizedfisher_1d_petsc)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_full", false]], "fisher_reaction (class in implementations.problem_classes.generalizedfisher_1d_petsc)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_reaction", false]], "fix_bc_for_residual (fenics_heat_mass attribute)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.fix_bc_for_residual", false]], "fix_bc_for_residual (fenics_heat_mass_timebc attribute)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.fix_bc_for_residual", false]], "fix_residual() (fenics_heat_mass method)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.fix_residual", false]], "fold (level attribute)": [[49, "core.level.Level.fold", false]], "formfunction() (fisher_full method)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_full.formFunction", false]], "formfunction() (fisher_reaction method)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_reaction.formFunction", false]], "formfunction() (gs_full method)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_full.formFunction", false]], "formfunction() (gs_reaction method)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_reaction.formFunction", false]], "formjacobian() (fisher_full method)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_full.formJacobian", false]], "formjacobian() (fisher_reaction method)": [[112, 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"implementations.sweeper_classes.Runge_Kutta.Cash_Karp.generator", false]], "generator (cranknicholson attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.CrankNicholson.generator", false]], "generator (dirk43 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.DIRK43.generator", false]], "generator (dirk43_2 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.DIRK43_2.generator", false]], "generator (edirk4 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.EDIRK4.generator", false]], "generator (esdirk43 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK43.generator", false]], "generator (esdirk53 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK53.generator", false]], "generator (explicitmidpointmethod attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ExplicitMidpointMethod.generator", false]], "generator (forwardeuler attribute)": [[151, 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"helpers.problem_helper.get_1d_grid", false]], "get_butcher_tableau() (rungekutta class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_Butcher_tableau", false]], "get_butcher_tableau_explicit() (rungekuttaimex class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKuttaIMEX.get_Butcher_tableau_explicit", false]], "get_convergence() (adaptivitycollocation method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityCollocation.get_convergence", false]], "get_convergence() (adaptivityextrapolationwithinq method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityExtrapolationWithinQ.get_convergence", false]], "get_convergence() (adaptivityforconvergedcollocationproblems method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityForConvergedCollocationProblems.get_convergence", false]], "get_convergence() (adaptivitypolynomialerror method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_convergence", false]], "get_convergence_controllers_as_table() (controller method)": [[45, "core.controller.Controller.get_convergence_controllers_as_table", false]], "get_count() (ncclcomm static method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_count", false]], "get_default_sweeper_class() (genericndimfindiff class method)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.get_default_sweeper_class", false]], "get_default_sweeper_class() (problem class method)": [[50, "core.problem.Problem.get_default_sweeper_class", false]], "get_dtype() (ncclcomm static method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_dtype", false]], "get_extrapolated_error() (estimateextrapolationerrornonmpi method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorNonMPI.get_extrapolated_error", false]], "get_extrapolated_solution() (estimateextrapolationerrornonmpi method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorNonMPI.get_extrapolated_solution", false]], "get_extrapolation_coefficients() (estimateextrapolationerrorbase method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorBase.get_extrapolation_coefficients", false]], "get_fig() (brusselator method)": [[105, "implementations.problem_classes.Brusselator.Brusselator.get_fig", false]], "get_fig() (problem method)": [[50, "core.problem.Problem.get_fig", false]], "get_finite_difference_matrix() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_finite_difference_matrix", false]], "get_finite_difference_stencil() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_finite_difference_stencil", false]], "get_full_f() (rungekutta method)": [[151, 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"implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_picardsweep_mats", false]], "get_scalar_problems_sweeper_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_sweeper_mats", false]], "get_scalar_problems_sweeper_mats() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_scalar_problems_sweeper_mats", false]], "get_sorted() (in module helpers.stats_helper)": [[60, "helpers.stats_helper.get_sorted", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwise method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwise.get_step_from_which_to_spread", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwisempi method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwiseMPI.get_step_from_which_to_spread", false]], 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"implementations.problem_classes.GeneralizedFisher_1D_PETSc.petsc_fisher_multiimplicit.get_sys_mat", false]], "get_transfer_matrix_q() (basetransfer static method)": [[42, "core.base_transfer.BaseTransfer.get_transfer_matrix_Q", false]], "get_update_order() (ark54 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK54.get_update_order", false]], "get_update_order() (ark548l2sa class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SA.get_update_order", false]], "get_update_order() (ark548l2saerk class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAERK.get_update_order", false]], "get_update_order() (ark548l2saesdirk2 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAESDIRK2.get_update_order", false]], "get_update_order() (cash_karp class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.Cash_Karp.get_update_order", false]], "get_update_order() (dirk43 class method)": [[151, 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"implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_reaction", false]], "h (boussinesq_2d_imex attribute)": [[104, "implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.h", false]], "harmonic_oscillator (class in implementations.problem_classes.harmonicoscillator)": [[116, "implementations.problem_classes.HarmonicOscillator.harmonic_oscillator", false]], "heat2d_petsc_forced (class in implementations.problem_classes.heatequation_2d_petsc_forced)": [[118, "implementations.problem_classes.HeatEquation_2D_PETSc_forced.heat2d_petsc_forced", false]], "heatnd_forced (class in implementations.problem_classes.heatequation_nd_fd)": [[119, "implementations.problem_classes.HeatEquation_ND_FD.heatNd_forced", false]], "heatnd_forced (class in implementations.problem_classes.heatequation_nd_fd_cupy)": [[120, "implementations.problem_classes.HeatEquation_ND_FD_CuPy.heatNd_forced", false]], "heatnd_unforced (class in implementations.problem_classes.heatequation_nd_fd)": 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"implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.Id", false]], "id (heat2d_petsc_forced attribute)": [[118, "implementations.problem_classes.HeatEquation_2D_PETSc_forced.heat2d_petsc_forced.Id", false]], "id (heatnd_forced attribute)": [[120, "implementations.problem_classes.HeatEquation_ND_FD_CuPy.heatNd_forced.Id", false]], "id (heatnd_unforced attribute)": [[119, "implementations.problem_classes.HeatEquation_ND_FD.heatNd_unforced.Id", false]], "id (petsc_grayscott_multiimplicit attribute)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.petsc_grayscott_multiimplicit.Id", false]], "id (quench attribute)": [[128, "implementations.problem_classes.Quench.Quench.Id", false]], "imex_1st_order (class in implementations.sweeper_classes.imex_1st_order)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order", false]], "imex_1st_order_mass (class in implementations.sweeper_classes.imex_1st_order_mass)": [[159, "implementations.sweeper_classes.imex_1st_order_mass.imex_1st_order_mass", false]], "imex_1st_order_mpi (class in implementations.sweeper_classes.imex_1st_order_mpi)": [[158, "implementations.sweeper_classes.imex_1st_order_MPI.imex_1st_order_MPI", false]], "imex_cupy_mesh (class in implementations.datatype_classes.cupy_mesh)": [[86, "implementations.datatype_classes.cupy_mesh.imex_cupy_mesh", false]], "imex_laplacian_mpifft (class in implementations.problem_classes.generic_mpifft_laplacian)": [[143, "implementations.problem_classes.generic_MPIFFT_Laplacian.IMEX_Laplacian_MPIFFT", false]], "imex_mesh (class in implementations.datatype_classes.mesh)": [[88, "implementations.datatype_classes.mesh.imex_mesh", false]], "impl (petsc_vec_comp2 attribute)": [[90, "implementations.datatype_classes.petsc_vec.petsc_vec_comp2.impl", false]], "impl (petsc_vec_imex attribute)": [[90, "implementations.datatype_classes.petsc_vec.petsc_vec_imex.impl", false]], "impl (rhs_fenics_mesh attribute)": [[87, "implementations.datatype_classes.fenics_mesh.rhs_fenics_mesh.impl", false]], "implementations": [[64, "module-implementations", false]], "implementations.controller_classes": [[65, "module-implementations.controller_classes", false]], "implementations.controller_classes.controller_mpi": [[66, "module-implementations.controller_classes.controller_MPI", false]], "implementations.controller_classes.controller_nonmpi": [[67, "module-implementations.controller_classes.controller_nonMPI", false]], "implementations.convergence_controller_classes": [[68, "module-implementations.convergence_controller_classes", false]], "implementations.convergence_controller_classes.adaptive_collocation": [[69, "module-implementations.convergence_controller_classes.adaptive_collocation", false]], "implementations.convergence_controller_classes.adaptivity": [[70, "module-implementations.convergence_controller_classes.adaptivity", false]], "implementations.convergence_controller_classes.basic_restarting": [[71, "module-implementations.convergence_controller_classes.basic_restarting", false]], "implementations.convergence_controller_classes.check_convergence": [[72, "module-implementations.convergence_controller_classes.check_convergence", false]], "implementations.convergence_controller_classes.check_iteration_estimator": [[73, "module-implementations.convergence_controller_classes.check_iteration_estimator", false]], "implementations.convergence_controller_classes.crash": [[74, "module-implementations.convergence_controller_classes.crash", false]], "implementations.convergence_controller_classes.estimate_contraction_factor": [[75, "module-implementations.convergence_controller_classes.estimate_contraction_factor", false]], "implementations.convergence_controller_classes.estimate_embedded_error": [[76, "module-implementations.convergence_controller_classes.estimate_embedded_error", false]], "implementations.convergence_controller_classes.estimate_extrapolation_error": [[77, 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"module-implementations.convergence_controller_classes.step_size_limiter", false]], "implementations.convergence_controller_classes.store_uold": [[84, "module-implementations.convergence_controller_classes.store_uold", false]], "implementations.datatype_classes": [[85, "module-implementations.datatype_classes", false]], "implementations.datatype_classes.cupy_mesh": [[86, "module-implementations.datatype_classes.cupy_mesh", false]], "implementations.datatype_classes.fenics_mesh": [[87, "module-implementations.datatype_classes.fenics_mesh", false]], "implementations.datatype_classes.mesh": [[88, "module-implementations.datatype_classes.mesh", false]], "implementations.datatype_classes.particles": [[89, "module-implementations.datatype_classes.particles", false]], "implementations.datatype_classes.petsc_vec": [[90, "module-implementations.datatype_classes.petsc_vec", false]], "implementations.problem_classes": [[91, "module-implementations.problem_classes", false]], "implementations.problem_classes.acoustic_helpers": [[132, "module-implementations.problem_classes.acoustic_helpers", false]], "implementations.problem_classes.acoustic_helpers.buildfdmatrix": [[133, "module-implementations.problem_classes.acoustic_helpers.buildFDMatrix", false]], "implementations.problem_classes.acoustic_helpers.buildwave1dmatrix": [[134, "module-implementations.problem_classes.acoustic_helpers.buildWave1DMatrix", false]], "implementations.problem_classes.acoustic_helpers.standard_integrators": [[135, "module-implementations.problem_classes.acoustic_helpers.standard_integrators", false]], "implementations.problem_classes.acousticadvection_1d_fd_imex": [[92, "module-implementations.problem_classes.AcousticAdvection_1D_FD_imex", false]], "implementations.problem_classes.advectiondiffusionequation_1d_fft": [[93, "module-implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT", false]], "implementations.problem_classes.advectionequation_nd_fd": [[94, 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module helpers.setup_helper)": [[59, "helpers.setup_helper.generate_description", false]], "generate_scipy_reference_solution() (problem method)": [[50, "core.problem.Problem.generate_scipy_reference_solution", false]], "generate_starting_values() (adamsmoultonimplicit2step method)": [[150, "implementations.sweeper_classes.Multistep.AdamsMoultonImplicit2Step.generate_starting_values", false]], "generate_starting_values() (multistep method)": [[150, "implementations.sweeper_classes.Multistep.MultiStep.generate_starting_values", false]], "generator (ark548l2saerk attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAERK.generator", false]], "generator (ark548l2saesdirk2 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAESDIRK2.generator", false]], "generator (backwardeuler attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.BackwardEuler.generator", false]], "generator (cash_karp attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.Cash_Karp.generator", false]], "generator (cranknicholson attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.CrankNicholson.generator", false]], "generator (dirk43 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.DIRK43.generator", false]], "generator (dirk43_2 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.DIRK43_2.generator", false]], "generator (edirk4 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.EDIRK4.generator", false]], "generator (esdirk43 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK43.generator", false]], "generator (esdirk53 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK53.generator", false]], "generator (explicitmidpointmethod attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ExplicitMidpointMethod.generator", false]], "generator (forwardeuler attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ForwardEuler.generator", false]], "generator (heun_euler attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.Heun_Euler.generator", false]], "generator (implicitmidpointmethod attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ImplicitMidpointMethod.generator", false]], "generator (rk4 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.RK4.generator", false]], "generator_exp (ark548l2saerk2 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAERK2.generator_EXP", false]], "generator_imp (ark548l2saesdirk attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAESDIRK.generator_IMP", false]], "generic_implicit (class in implementations.sweeper_classes.generic_implicit)": [[155, "implementations.sweeper_classes.generic_implicit.generic_implicit", false]], "generic_implicit_mpi (class in implementations.sweeper_classes.generic_implicit_mpi)": [[156, "implementations.sweeper_classes.generic_implicit_MPI.generic_implicit_MPI", false]], "genericndimfindiff (class in implementations.problem_classes.generic_nd_fd)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff", false]], "get() (frozenclass method)": [[58, "helpers.pysdc_helper.FrozenClass.get", false]], "get2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DMatrix", false]], "get2dmesh() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DMesh", false]], "get2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DUpwindMatrix", false]], "get_1d_grid() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_1d_grid", false]], "get_butcher_tableau() (rungekutta class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_Butcher_tableau", false]], "get_butcher_tableau_explicit() (rungekuttaimex class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKuttaIMEX.get_Butcher_tableau_explicit", false]], "get_convergence() (adaptivitycollocation method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityCollocation.get_convergence", false]], "get_convergence() (adaptivityextrapolationwithinq method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityExtrapolationWithinQ.get_convergence", false]], "get_convergence() (adaptivityforconvergedcollocationproblems method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityForConvergedCollocationProblems.get_convergence", false]], "get_convergence() (adaptivitypolynomialerror method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_convergence", false]], "get_convergence_controllers_as_table() (controller method)": [[45, "core.controller.Controller.get_convergence_controllers_as_table", false]], "get_count() (ncclcomm static method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_count", false]], "get_default_sweeper_class() (genericndimfindiff class method)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.get_default_sweeper_class", false]], "get_default_sweeper_class() (problem class method)": [[50, "core.problem.Problem.get_default_sweeper_class", false]], "get_dtype() (ncclcomm static method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_dtype", false]], "get_extrapolated_error() (estimateextrapolationerrornonmpi method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorNonMPI.get_extrapolated_error", false]], "get_extrapolated_solution() (estimateextrapolationerrornonmpi method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorNonMPI.get_extrapolated_solution", false]], "get_extrapolation_coefficients() (estimateextrapolationerrorbase method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorBase.get_extrapolation_coefficients", false]], "get_fig() (brusselator method)": [[105, "implementations.problem_classes.Brusselator.Brusselator.get_fig", false]], "get_fig() (problem method)": [[50, "core.problem.Problem.get_fig", false]], "get_finite_difference_matrix() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_finite_difference_matrix", false]], "get_finite_difference_stencil() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_finite_difference_stencil", false]], "get_full_f() (rungekutta method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_full_f", false]], "get_full_f() (rungekuttanystrom method)": [[152, "implementations.sweeper_classes.Runge_Kutta_Nystrom.RungeKuttaNystrom.get_full_f", false]], "get_implementation() (basicrestarting class method)": [[71, "implementations.convergence_controller_classes.basic_restarting.BasicRestarting.get_implementation", false]], "get_implementation() (estimateembeddederror class method)": [[76, "implementations.convergence_controller_classes.estimate_embedded_error.EstimateEmbeddedError.get_implementation", false]], "get_implementation() (spreadstepsizesblockwise class method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwise.get_implementation", false]], "get_interactions() (penningtrap method)": [[126, "implementations.problem_classes.PenningTrap_3D.penningtrap.get_interactions", false]], "get_list_of_types() (in module helpers.stats_helper)": [[60, "helpers.stats_helper.get_list_of_types", false]], "get_local_error_estimate() (adaptivity method)": [[70, "implementations.convergence_controller_classes.adaptivity.Adaptivity.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivitybase method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityBase.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivitycollocation method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityCollocation.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivityextrapolationwithinq method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityExtrapolationWithinQ.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivitypolynomialerror method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivityresidual method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityResidual.get_local_error_estimate", false]], "get_new_step_size() (adaptivity method)": [[70, "implementations.convergence_controller_classes.adaptivity.Adaptivity.get_new_step_size", false]], "get_new_step_size() (adaptivitybase method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityBase.get_new_step_size", false]], "get_new_step_size() (adaptivitycollocation method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityCollocation.get_new_step_size", false]], "get_new_step_size() (adaptivityextrapolationwithinq method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityExtrapolationWithinQ.get_new_step_size", false]], "get_new_step_size() (adaptivitypolynomialerror method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_new_step_size", false]], "get_new_step_size() (adaptivityresidual method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityResidual.get_new_step_size", false]], "get_new_step_size() (adaptivityrk method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityRK.get_new_step_size", false]], "get_new_step_size() (convergencecontroller method)": [[46, "core.convergence_controller.ConvergenceController.get_new_step_size", false]], "get_new_step_size() (stepsizelimiter method)": [[83, "implementations.convergence_controller_classes.step_size_limiter.StepSizeLimiter.get_new_step_size", false]], "get_new_step_size() (stepsizeslopelimiter method)": [[83, "implementations.convergence_controller_classes.step_size_limiter.StepSizeSlopeLimiter.get_new_step_size", false]], "get_non_linear_jacobian() (quench method)": [[128, "implementations.problem_classes.Quench.Quench.get_non_linear_Jacobian", false]], "get_op() (ncclcomm method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_op", false]], "get_problem_dict() (battery_n_capacitors method)": [[103, "implementations.problem_classes.Battery.battery_n_capacitors.get_problem_dict", false]], "get_q_matrix() (rungekutta class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_Q_matrix", false]], "get_qdelta_explicit() (sweeper method)": [[53, "core.sweeper.Sweeper.get_Qdelta_explicit", false]], "get_qdelta_implicit() (sweeper method)": [[53, "core.sweeper.Sweeper.get_Qdelta_implicit", false]], "get_scalar_problems_manysweep_mat() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_scalar_problems_manysweep_mat", false]], "get_scalar_problems_manysweep_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_manysweep_mats", false]], "get_scalar_problems_picardsweep_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_picardsweep_mats", false]], "get_scalar_problems_sweeper_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_sweeper_mats", false]], "get_scalar_problems_sweeper_mats() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_scalar_problems_sweeper_mats", false]], "get_sorted() (in module helpers.stats_helper)": [[60, "helpers.stats_helper.get_sorted", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwise method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwise.get_step_from_which_to_spread", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwisempi method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwiseMPI.get_step_from_which_to_spread", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwisenonmpi method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwiseNonMPI.get_step_from_which_to_spread", false]], "get_steps() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_steps", false]], "get_sweeper_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_sweeper_mats", false]], "get_sweeper_mats() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_sweeper_mats", false]], "get_switching_info() (battery_n_capacitors method)": [[103, "implementations.problem_classes.Battery.battery_n_capacitors.get_switching_info", false]], "get_switching_info() (discontinuoustestode method)": [[107, "implementations.problem_classes.DiscontinuousTestODE.DiscontinuousTestODE.get_switching_info", false]], "get_sys_mat() (petsc_fisher_multiimplicit method)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.petsc_fisher_multiimplicit.get_sys_mat", false]], "get_transfer_matrix_q() (basetransfer static method)": [[42, "core.base_transfer.BaseTransfer.get_transfer_matrix_Q", false]], "get_update_order() (ark54 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK54.get_update_order", false]], "get_update_order() (ark548l2sa class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SA.get_update_order", false]], "get_update_order() (ark548l2saerk class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAERK.get_update_order", false]], "get_update_order() (ark548l2saesdirk2 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAESDIRK2.get_update_order", false]], "get_update_order() (cash_karp class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.Cash_Karp.get_update_order", false]], "get_update_order() (dirk43 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.DIRK43.get_update_order", false]], "get_update_order() (esdirk43 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK43.get_update_order", false]], "get_update_order() (esdirk53 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK53.get_update_order", false]], "get_update_order() (heun_euler class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.Heun_Euler.get_update_order", false]], "get_update_order() (rungekutta class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_update_order", false]], "getbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCHorizontal", false]], "getbcleft() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCLeft", false]], "getbcleft() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCLeft", false]], "getbcright() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCRight", false]], "getbcright() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCRight", false]], "getbcvertical() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCVertical", false]], "getboussinesq2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DMatrix", false]], "getboussinesq2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DUpwindMatrix", false]], "getboussinesqbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCHorizontal", false]], "getboussinesqbcvertical() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCVertical", false]], "getcounter() (callback method)": [[140, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getcounter", false]], "gethorizontaldx() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getHorizontalDx", false]], "getmatrix() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getMatrix", false]], "getmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getMatrix", false]], "getresidual() (callback method)": [[140, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getresidual", false]], "getupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getUpwindMatrix", false]], "getwave1dadvectionmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DAdvectionMatrix", false]], "getwave1dmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DMatrix", false]], "getwavebcleft() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCLeft", false]], "getwavebcright() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCRight", false]], "gmres_logger (boussinesq_2d_imex attribute)": [[104, "implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.gmres_logger", false]], "grayscott_imex_diffusion (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_imex_diffusion", false]], "grayscott_imex_linear (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_imex_linear", false]], "grayscott_mi_diffusion (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_mi_diffusion", false]], "grayscott_mi_linear (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_mi_linear", false]], "grids (genericndimfindiff property)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.grids", false]], "gs_full (class in implementations.problem_classes.grayscott_2d_petsc_periodic)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_full", false]], "gs_reaction (class in implementations.problem_classes.grayscott_2d_petsc_periodic)": [[114, 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204, 205, 206, 207], "conditionali": 5, "conduct": [3, 5, 10, 128], "config": 36, "configur": [34, 38, 40, 58, 207], "conflict": [4, 5], "conform": 10, "confus": [0, 5, 12, 156], "conjug": [96, 97], "connect": 0, "connect_level": 52, "connoisseur": 151, "consecut": [76, 174, 176, 200, 207], "consequ": 1, "conserv": 202, "consid": [1, 5, 12, 14, 34, 36, 50, 94, 119, 120], "consider": 204, "consist": [0, 2, 4, 6, 12, 107, 125, 126, 127, 200], "const": [31, 37], "constant": [11, 12, 77, 96, 97, 98, 99, 110, 116, 117, 125, 126, 153, 204, 207], "constantli": [5, 128], "constrain": 12, "construct": [1, 57, 62, 202], "constructor": [0, 7, 12], "consumpt": 14, "contain": [0, 5, 8, 10, 11, 12, 13, 17, 19, 20, 34, 37, 39, 42, 43, 44, 45, 46, 48, 49, 50, 53, 57, 60, 62, 66, 67, 71, 74, 77, 81, 82, 87, 89, 93, 95, 96, 97, 102, 103, 104, 107, 109, 110, 112, 114, 115, 117, 122, 124, 126, 129, 130, 144, 150, 151, 153, 154, 155, 156, 157, 158, 160, 161, 163, 164, 174, 176, 177, 184, 190, 200, 201, 202, 203, 205], "content": [5, 10], "continu": [1, 2, 3, 4, 6, 7, 10, 16, 62, 70, 72, 81, 86, 88, 113, 114, 115, 117, 131], "continue_periodic_arrai": [54, 62], "contour": 38, "contract": [70, 75], "contrast": [12, 201, 202, 204], "contribut": [0, 1, 5, 6, 7, 8, 9], "contributor": 4, "control": [0, 10, 13, 14, 17, 19, 20, 22, 26, 27, 28, 29, 30, 31, 33, 35, 37, 39, 41, 46, 47, 48, 52, 60, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 106, 179, 180, 181, 182, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199, 201, 202, 203, 204, 206, 207], "control_ord": [46, 70, 71], "controller_class": [13, 17, 20, 22, 26, 27, 29, 30, 31, 33, 35, 37, 64, 179, 180, 181, 182, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199, 201, 202, 203, 204, 205, 206, 207], "controller_mat": [27, 35], "controller_matrix_nonmpi": [27, 28, 35], "controller_mlsdc": [185, 203], "controller_mpi": [0, 65, 192, 195, 205, 206, 207], "controller_mssdc_g": [198, 207], 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95, 103, 107, 123, 126, 130, 145, 180, 189, 190, 192, 198, 201, 202, 203, 204, 205, 207], "count_switch": [103, 107], "counter": [95, 178, 201], "counterpart": [36, 205], "coupl": [36, 52, 86, 88, 200, 206], "cours": [6, 46, 203], "cover": [5, 9, 31, 37], "coverag": 10, "coverage_process_start": [192, 205], "cp": 99, "cpp": 36, "cpu": 206, "cr": 103, "cranknicholson": [149, 151], "crash": [40, 68], "crash_at_maxit": 130, "crashbas": [68, 74], "creat": [3, 5, 9, 10, 11, 13, 16, 17, 20, 22, 26, 29, 30, 31, 33, 37, 40, 48, 61, 103, 113, 117, 131, 144, 173, 174, 175, 176, 177, 184, 195, 197, 200, 201, 202, 203, 204, 206, 207], "createbinari": [17, 20], "creation": [0, 13, 22, 26, 29, 33, 37, 178, 179, 180, 181, 182, 186, 193, 201, 202, 203, 206], "criteria": [46, 72], "criterion": [45, 70, 196, 206], "crop": 38, "crucial": [79, 203], "csc": [94, 111, 119, 120, 128, 144], "csc_matrix": [62, 92, 104, 129], "csv": 40, "ct": 7, "cube": 39, "cube_1d": 36, "cubic": 109, "cupi": [0, 5, 57, 78, 86, 97, 99, 120], "cupy_mesh": [85, 97, 99, 120], "cupymulticomponentmesh": [85, 86], "current": [3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 19, 20, 22, 26, 29, 33, 37, 43, 46, 48, 49, 50, 52, 53, 62, 66, 67, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 143, 144, 145, 146, 147, 148, 150, 151, 156, 159, 192, 196, 201, 205, 206, 207], "curv": 10, "custom": [2, 6, 8, 15, 42, 48, 49, 50, 51, 52, 53, 153, 154, 157, 159, 160, 161, 163, 164, 166, 167, 169, 202], "custon": [168, 170, 172], "cute": 9, "cv": 128, "cwd": [13, 17, 20, 22, 26, 29, 33, 37, 192, 205], "cycl": [14, 106], "d": [12, 15, 29, 30, 36, 37, 86, 88, 92, 101, 102, 103, 104, 106, 107, 108, 109, 110, 112, 114, 115, 116, 117, 118, 121, 123, 125, 127, 129, 130, 143, 144, 147, 192, 205], "d_collocation_accuracy_check": [176, 200], 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174, 175, 176, 177, 178, 179, 183, 192, 195, 200, 201, 203, 205, 206], "die": 126, "diff": [5, 12, 27, 35, 185, 198, 203, 207], "diff_g": [198, 207], "diff_jac": [198, 207], "diff_jac_g": [198, 207], "differ": [0, 1, 3, 6, 10, 11, 12, 13, 16, 17, 18, 19, 27, 28, 29, 34, 35, 38, 42, 45, 46, 57, 61, 69, 70, 73, 75, 76, 77, 78, 79, 81, 94, 95, 96, 98, 99, 100, 101, 103, 104, 106, 107, 111, 118, 119, 120, 123, 128, 130, 144, 150, 163, 164, 181, 182, 185, 186, 188, 189, 190, 192, 193, 196, 198, 200, 201, 202, 203, 204, 205, 206, 207], "differenti": [10, 14, 16, 36, 79, 102, 103, 106, 107, 113, 117, 122, 123, 127, 131, 144, 146, 147, 152], "diffus": [18, 27, 28, 35, 36, 93, 98, 99, 101, 105, 111, 112, 113, 114, 115, 117, 118, 119, 120, 131, 143, 173, 174, 175, 176, 177, 178, 179, 180, 183, 184, 185, 187, 188, 190, 195, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207], "diffusion_setup": [27, 28, 35], "dig": 201, "digest": 0, "dill": [0, 13, 22, 26, 33], "dim": [57, 142, 166, 168, 170], 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"implementations.transfer_classes.TransferMesh_FFT2D module", "implementations.transfer_classes.TransferMesh_MPIFFT module", "implementations.transfer_classes.TransferMesh_NoCoarse module", "implementations.transfer_classes.TransferPETScDMDA module", "implementations.transfer_classes.TransferParticles_NoCoarse module", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "Step-1: A first spatial problem", "Step-2: Data structures and my first sweeper", "Step-3: Statistics and a new sweeper", "Step-4: Multilevel SDC", "Step-5: PFASST", "Step-6: Advanced PFASST controllers", "Step-7: pySDC with external libraries", "Step-8: Advanced topics"], "titleterms": {"": 201, "1": [1, 200], "2": [1, 201], "3": [1, 202], "4": [1, 203], "5": 204, "6": 205, "7": 206, "8": 207, "A": [200, 201, 202, 203, 204, 205, 206, 207], "The": [36, 205], "To": 207, "abstract": 77, "accuraci": 200, "acknowledg": [3, 10], "acoust": 34, "acoustic_help": [132, 133, 134, 135], "acousticadvection_1d_fd_imex": 92, "ad": [9, 202], "adapt": [16, 70], "adaptive_colloc": 69, "add": 9, "advanc": [205, 207], "advect": [34, 204], "advectiondiffusionequation_1d_fft": 93, "advectionequation_nd_fd": 94, "algebra": 12, "allen": 11, "allencahn_1d_fd": 95, "allencahn_2d_fd": 96, "allencahn_2d_fd_gpu": 97, "allencahn_2d_fft": 98, "allencahn_2d_fft_gpu": 99, "allencahn_mpifft": 100, "allencahn_temp_mpifft": 101, "an": 9, "analysi": 39, "api": 10, "applic": 11, "ar": 14, "asymptot": 18, "attempt": 37, "attribut": [1, 6], "automat": 9, "auzinger_implicit": 102, "b": [200, 201, 202, 203, 204, 205, 206, 207], "ban": 1, "base": [35, 77], "base_transf": 42, "basetransfer_mass": 164, "basetransfermpi": 163, "basic_restart": 71, "batteri": [14, 103], "bayreuth": 11, "benchmark": 11, "boris_2nd_ord": 153, "boussinesq": 34, "boussinesq_2d_fd_imex": 104, "boussinesq_help": [136, 137, 138, 139, 140, 141, 142], "branch": 4, "brussel": 105, "buck": 14, "buckconvert": 106, "build2dfdmatrix": 137, "buildboussinesq2dmatrix": 138, "buildfdmatrix": [133, 139], "buildwave1dmatrix": 134, "c": [200, 201, 202, 203, 204, 205, 206, 207], "cahn": 11, "cardiac": 36, "changelog": 0, "check": 200, "check_converg": 72, "check_iteration_estim": 73, "ci": 5, "cite": [3, 10], "class": [6, 7, 77], "code": [1, 5, 8, 36, 39], "colloc": [43, 200, 202], "common": 44, "compress": 19, "concept": 19, "conduct": 1, "constant": 6, "contact": 40, "content": [41, 54, 64, 65, 68, 85, 91, 132, 136, 149, 162], "continu": [5, 9, 207], "contribut": [2, 3, 4, 10], "contributor": 1, "control": [45, 205], "controller_class": [65, 66, 67], "controller_mpi": 66, "controller_nonmpi": 67, "convent": 6, "converg": [15, 18, 36], "convergence_control": 46, "convergence_controller_class": [68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84], "convert": 14, "core": [41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53], "correct": [1, 15, 40], "coven": 1, "coverag": 5, "crash": 74, "cupy_mesh": 86, "custom": 7, "d": [200, 203, 206], "dae": 12, "data": 201, "datatype_class": [85, 86, 87, 88, 89, 90], "defer": [15, 40], "definit": 6, "descript": [44, 50], "detail": 12, "develop": 4, "differ": 37, "differenti": 12, "directori": 9, "discontinuoustestod": 107, "distribut": 205, "document": [5, 8, 10], "doi": 9, "drain": 14, "electrophysiologi": 36, "energi": 14, "enforc": 1, "environ": [5, 9], "equat": [12, 17, 36], "error": [47, 77], "esdc": 36, "estim": [77, 207], "estimate_contraction_factor": 75, "estimate_embedded_error": 76, "estimate_extrapolation_error": 77, "estimate_polynomial_error": 78, "exampl": 34, "except": 5, "experi": 38, "experiment": 38, "explicit": 154, "exponenti": 36, "extern": 206, "extrapol": 77, "fast": 34, "fastest": 17, "fastwaveslowwave_0d": 108, "featur": [3, 4, 10], "fenic": 206, "fenics_mesh": 87, "fermi": 13, "fermipastaulamtsing": 109, "fft": 206, "figur": [38, 40], "file": [9, 11], "first": [6, 200, 201, 204], "fisher": 17, "fourier": 206, "from": [5, 11, 40], "frontend": 201, "fullsolarsystem": 110, "function": 6, "further": 11, "gener": 5, "generalizedfisher_1d_fd_implicit": 111, "generalizedfisher_1d_petsc": 112, "generic_implicit": 155, "generic_implicit_mpi": 156, "generic_mpifft_laplacian": 143, "generic_nd_fd": 144, "get": [3, 9, 10, 202], "grai": 17, "grayscott_1d_fenics_implicit": 113, "grayscott_2d_petsc_period": 114, "grayscott_mpifft": 115, "guid": 10, "guidelin": [1, 7], "harmonicoscil": 116, "heatequation_1d_fenics_matrix_forc": 117, "heatequation_2d_petsc_forc": 118, "heatequation_nd_fd": 119, "heatequation_nd_fd_cupi": 120, "helper": [54, 55, 56, 57, 58, 59, 60, 61, 62, 63], "helper_class": 140, "henonheil": 121, "hierarchi": [203, 204], "hook": 48, "hotrod": 79, "how": [2, 3, 10, 12], "hpc": 5, "i": 17, "imex_1st_ord": 157, "imex_1st_order_mass": 159, "imex_1st_order_mpi": 158, "implement": [7, 12, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172], "inexact": 80, "integr": [5, 9], "interpolate_between_restart": 81, "introduct": 19, "iter": [36, 207], "jobscript": 39, "level": [15, 49], "librari": 206, "line": 14, "lint": 5, "logisticequ": 122, "lorenz": 123, "main": 4, "manuscript": 38, "matrix": 35, "mesh": 88, "method": [19, 36, 40], "mlsdc": 203, "modal": 14, "model": 14, "modul": [6, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172], "monodomain": 36, "mpi": [37, 205], "mpi4pi": 206, "multi": [14, 15, 207], "multi_implicit": 160, "multilevel": [203, 204], "multistep": [150, 204], "my": [201, 204], "name": 6, "nccl_commun": 55, "new": 202, "newton": 37, "node": [37, 202], "nonlinear": 37, "nonlinear_ode_1": 145, "nonlinearschroedinger_mpifft": 124, "nonmpi": 205, "numer": 38, "odd": 205, "odescalar": 146, "odesystem": 147, "oper": 203, "order": [13, 40], "organis": 18, "our": 1, "outersolarsystem": 125, "overview": 12, "packag": [6, 41, 54, 64, 65, 68, 85, 91, 132, 136, 149, 162], "paper": [16, 38], "parallel": [14, 37, 38, 205, 206], "part": [200, 201, 202, 203, 204, 205, 206, 207], "particl": [89, 203], "pasta": 13, "penningtrap_3d": 126, "perform": 39, "perman": 1, "petsc": 206, "petsc_vec": 90, "pfasst": [15, 18, 35, 204, 205], "pi": 14, "pilin": 127, "pipelin": 9, "playground": 10, "pledg": 1, "plot": 16, "plot_help": 56, "polynomial_test_problem": 148, "power": 14, "precondition": 37, "privat": 6, "problem": [7, 11, 12, 13, 37, 40, 50, 200], "problem_class": [91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 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"v": 203, "van_der_pol_implicit": 130, "variabl": 6, "variant": 17, "verif": 11, "verlet": 161, "version": 35, "visual": 207, "visualization_tool": 63, "vorticityvelocity_2d_fenics_period": 131, "warn": 1, "wave": 34, "welcom": [3, 10], "what": [14, 17], "x": 207}})
\ No newline at end of file
diff --git a/tutorial/doc_step_2_C.html b/tutorial/doc_step_2_C.html
index c9d9a95e5c..f2c7edb46f 100644
--- a/tutorial/doc_step_2_C.html
+++ b/tutorial/doc_step_2_C.html
@@ -118,7 +118,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-09-09 14:33:17,610 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-09-13 10:59:17,352 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -128,8 +128,8 @@ <h3>Navigation</h3>
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2024-09-09 14:33:17,611 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2024-09-09 14:33:17,611 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2024-09-13 10:59:17,352 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2024-09-13 10:59:17,352 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -182,34 +182,34 @@ <h3>Navigation</h3>
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2024-09-09 14:33:17,611 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2024-09-09 14:33:17,611 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+2024-09-13 10:59:17,352 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2024-09-13 10:59:17,352 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
 
-2024-09-09 14:33:17,615 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
-2024-09-09 14:33:17,618 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
-2024-09-09 14:33:17,621 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
-2024-09-09 14:33:17,624 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
-2024-09-09 14:33:17,628 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
-2024-09-09 14:33:17,631 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
-2024-09-09 14:33:17,634 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
-2024-09-09 14:33:17,637 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
-2024-09-09 14:33:17,640 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
-2024-09-09 14:33:17,644 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
-2024-09-09 14:33:17,647 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
-2024-09-09 14:33:17,650 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
-2024-09-09 14:33:17,654 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
-2024-09-09 14:33:17,657 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
-2024-09-09 14:33:17,660 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
-2024-09-09 14:33:17,664 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
-2024-09-09 14:33:17,667 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
-2024-09-09 14:33:17,670 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
-2024-09-09 14:33:17,673 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
-2024-09-09 14:33:17,676 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
-2024-09-09 14:33:17,680 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
-2024-09-09 14:33:17,683 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
-2024-09-09 14:33:17,686 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
-2024-09-09 14:33:17,689 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
-2024-09-09 14:33:17,690 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.08s
+2024-09-13 10:59:17,356 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
+2024-09-13 10:59:17,359 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
+2024-09-13 10:59:17,363 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
+2024-09-13 10:59:17,366 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
+2024-09-13 10:59:17,369 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
+2024-09-13 10:59:17,372 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
+2024-09-13 10:59:17,375 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
+2024-09-13 10:59:17,378 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
+2024-09-13 10:59:17,382 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
+2024-09-13 10:59:17,385 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
+2024-09-13 10:59:17,388 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
+2024-09-13 10:59:17,391 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
+2024-09-13 10:59:17,395 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
+2024-09-13 10:59:17,398 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
+2024-09-13 10:59:17,401 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
+2024-09-13 10:59:17,405 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
+2024-09-13 10:59:17,408 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
+2024-09-13 10:59:17,411 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
+2024-09-13 10:59:17,414 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
+2024-09-13 10:59:17,417 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
+2024-09-13 10:59:17,420 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
+2024-09-13 10:59:17,423 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
+2024-09-13 10:59:17,427 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
+2024-09-13 10:59:17,430 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
+2024-09-13 10:59:17,430 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.08s
 Error after SDC iterations: 1.166689e-05
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_3_B.html b/tutorial/doc_step_3_B.html
index fe2f26742b..c87aa1efe0 100644
--- a/tutorial/doc_step_3_B.html
+++ b/tutorial/doc_step_3_B.html
@@ -145,7 +145,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-09-09 14:33:18,256 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-09-13 10:59:17,987 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -155,8 +155,8 @@ <h3>Navigation</h3>
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2024-09-09 14:33:18,256 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2024-09-09 14:33:18,256 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2024-09-13 10:59:17,987 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2024-09-13 10:59:17,987 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -204,21 +204,21 @@ <h3>Navigation</h3>
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2024-09-09 14:33:18,256 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2024-09-09 14:33:18,256 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2024-09-09 14:33:19,610 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
-2024-09-09 14:33:19,617 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
-2024-09-09 14:33:19,624 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
-2024-09-09 14:33:19,631 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
-2024-09-09 14:33:19,638 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
-2024-09-09 14:33:19,645 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
-2024-09-09 14:33:19,651 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
-2024-09-09 14:33:19,658 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
-2024-09-09 14:33:19,665 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
-2024-09-09 14:33:19,672 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
-2024-09-09 14:33:19,679 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
-2024-09-09 14:33:19,681 - hooks - default_hook - post_run - 340 - INFO: Finished run after 1.43s
+2024-09-13 10:59:17,988 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2024-09-13 10:59:17,988 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2024-09-13 10:59:19,432 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
+2024-09-13 10:59:19,438 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
+2024-09-13 10:59:19,445 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
+2024-09-13 10:59:19,452 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
+2024-09-13 10:59:19,459 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
+2024-09-13 10:59:19,466 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
+2024-09-13 10:59:19,472 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
+2024-09-13 10:59:19,479 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
+2024-09-13 10:59:19,486 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
+2024-09-13 10:59:19,492 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
+2024-09-13 10:59:19,499 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
+2024-09-13 10:59:19,502 - hooks - default_hook - post_run - 340 - INFO: Finished run after 1.51s
 Total energy and deviation in iteration  0: 8799.5000000000 -- 0.00000000e+00
 Total energy and deviation in iteration 11: 8785.0038936088 -- 1.44961064e+01
 </pre></div>
diff --git a/tutorial/doc_step_4_D.html b/tutorial/doc_step_4_D.html
index 72b4a8f62f..a9e9709bf6 100644
--- a/tutorial/doc_step_4_D.html
+++ b/tutorial/doc_step_4_D.html
@@ -191,7 +191,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">5.86072294</span> <span class="o">--</span>   <span class="mf">6.46032599</span> <span class="o">--</span>   <span class="mf">7.53979950</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">5.92089541</span> <span class="o">--</span>   <span class="mf">6.59956667</span> <span class="o">--</span>   <span class="mf">7.60293033</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span> <span class="mi">12</span><span class="p">:</span> <span class="mf">406977.9425667246</span> <span class="o">--</span> <span class="mf">2.35039652e-03</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
diff --git a/tutorial/doc_step_7_A.html b/tutorial/doc_step_7_A.html
index cfcea3fc30..ed58414f53 100644
--- a/tutorial/doc_step_7_A.html
+++ b/tutorial/doc_step_7_A.html
@@ -232,49 +232,49 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.7703</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.7514</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387594756569534e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3772</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3311</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473562155116167e-07</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.4160</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3416</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.138768636885694e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.4609</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.4243</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387216566052821e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.1388</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.0577</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473561574763597e-07</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.1364</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.0585</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">5</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1150087179536389e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">11.60</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">4</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.26</span> <span class="o">--</span> <span class="mf">10.64</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">4.1376</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">4.0113</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_7_B.html b/tutorial/doc_step_7_B.html
index 3a4e4d3760..2f155dd65f 100644
--- a/tutorial/doc_step_7_B.html
+++ b/tutorial/doc_step_7_B.html
@@ -200,7 +200,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.41</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1321e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3491</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3126</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">8.00</span> <span class="o">/</span> <span class="mf">11.40</span> <span class="o">/</span> <span class="mf">15.00</span>
@@ -208,7 +208,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.03</span> <span class="o">--</span> <span class="mf">4.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1749e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.1064</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.0652</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">5.00</span> <span class="o">/</span> <span class="mf">6.60</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -216,7 +216,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">16</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.07</span> <span class="o">--</span> <span class="mf">1.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1316e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3418</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2961</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">4.00</span> <span class="o">/</span> <span class="mf">5.95</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -224,7 +224,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.02</span> <span class="o">--</span> <span class="mf">1.05</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1744e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2176</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2059</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">7.00</span> <span class="o">/</span> <span class="mf">12.45</span> <span class="o">/</span> <span class="mf">18.00</span>
@@ -232,7 +232,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.11</span> <span class="o">--</span> <span class="mf">9.65</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1306e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.7162</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.7485</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span> <span class="o">/</span> <span class="mf">11.50</span> <span class="o">/</span> <span class="mf">17.00</span>
@@ -240,7 +240,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.04</span> <span class="o">--</span> <span class="mf">9.25</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1688e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.5793</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.6019</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_7_C.html b/tutorial/doc_step_7_C.html
index 5b061614ae..45652bfd9b 100644
--- a/tutorial/doc_step_7_C.html
+++ b/tutorial/doc_step_7_C.html
@@ -215,7 +215,7 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.7487</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.4693</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -227,7 +227,7 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8819</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8993</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -238,7 +238,7 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7925</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7918</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 <span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
 <span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
@@ -246,7 +246,7 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7922</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7915</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_7_D.html b/tutorial/doc_step_7_D.html
index d9b20ab429..94d8d70688 100644
--- a/tutorial/doc_step_7_D.html
+++ b/tutorial/doc_step_7_D.html
@@ -129,27 +129,27 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.6266e-03</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.4894e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">8.0879e-08</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.8880e-10</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.5694e-12</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">5.55e-06</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2595e-04</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">4.0283e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.4620e-09</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.4194e-11</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.1991e-14</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">7.27e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.1835e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.1459e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.2670e-10</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.5627e-12</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2615e-14</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.06e-07</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.21e-01</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.10e-01</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.06e-07</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">7.9911e-03</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.9155e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.6440e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">9.8036e-10</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.3640e-12</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.19e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.7820e-04</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.0455e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.5919e-09</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.6401e-11</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">9.7307e-14</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">9.85e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.5848e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.5153e-08</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.5625e-10</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.7615e-12</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.4296e-14</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">3.79e-07</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.17e-01</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.09e-01</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">3.79e-07</span>
 </pre></div>
 </div>
 
diff --git a/tutorial/doc_step_8_C.html b/tutorial/doc_step_8_C.html
index 81f96033e9..198aae7005 100644
--- a/tutorial/doc_step_8_C.html
+++ b/tutorial/doc_step_8_C.html
@@ -355,7 +355,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 6 iterations: 3.6530e-08 / 2.0645e-13
    Errors after step   1.0000 with 6 iterations: 3.6478e-08 / 1.2759e-13
 
-...done, took 0.4253391729999976 seconds!
+...done, took 0.32545205999997506 seconds!
 -----------------------------------------------------------------------------
 Running diffusion in 1 dimensions with time-step size 0.125...
 
@@ -369,7 +369,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 3 iterations: 3.5501e-08 / 3.9957e-13
    Errors after step   1.0000 with 3 iterations: 3.6813e-08 / 1.6975e-13
 
-...done, took 0.7367437640000105 seconds!
+...done, took 0.7453807359999587 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -383,7 +383,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 4 iterations: 2.5517e-08 / 3.3307e-16
    Errors after step   1.0000 with 4 iterations: 2.9147e-08 / 4.4409e-16
 
-...done, took 0.21171407900001782 seconds!
+...done, took 0.22372385299996722 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -397,7 +397,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 2 iterations: 2.5987e-08 / 3.1841e-13
    Errors after step   1.0000 with 2 iterations: 2.9666e-08 / 3.1819e-13
 
-...done, took 0.5720185929999957 seconds!
+...done, took 0.6103502469999853 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -411,7 +411,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 6 iterations: 2.8266e-08 / 0.0000e+00
    Errors after step   1.0000 with 6 iterations: 2.8338e-08 / 0.0000e+00
 
-...done, took 0.12974816900000974 seconds!
+...done, took 0.13757413499996574 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -425,7 +425,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 4 iterations: 3.1486e-08 / 0.0000e+00
    Errors after step   1.0000 with 4 iterations: 3.3802e-08 / 0.0000e+00
 
-...done, took 0.15801603599999225 seconds!
+...done, took 0.16138542400000233 seconds!
 -----------------------------------------------------------------------------
 </pre></div>
 </div>
diff --git a/tutorial/step_2.html b/tutorial/step_2.html
index 7eff15785d..b003dae2f0 100644
--- a/tutorial/step_2.html
+++ b/tutorial/step_2.html
@@ -417,7 +417,7 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-09-09 14:33:17,610 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-09-13 10:59:17,352 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -427,8 +427,8 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2024-09-09 14:33:17,611 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2024-09-09 14:33:17,611 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2024-09-13 10:59:17,352 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2024-09-13 10:59:17,352 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -481,34 +481,34 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2024-09-09 14:33:17,611 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2024-09-09 14:33:17,611 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2024-09-09 14:33:17,615 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
-2024-09-09 14:33:17,618 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
-2024-09-09 14:33:17,621 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
-2024-09-09 14:33:17,624 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
-2024-09-09 14:33:17,628 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
-2024-09-09 14:33:17,631 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
-2024-09-09 14:33:17,634 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
-2024-09-09 14:33:17,637 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
-2024-09-09 14:33:17,640 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
-2024-09-09 14:33:17,644 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
-2024-09-09 14:33:17,647 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
-2024-09-09 14:33:17,650 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
-2024-09-09 14:33:17,654 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
-2024-09-09 14:33:17,657 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
-2024-09-09 14:33:17,660 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
-2024-09-09 14:33:17,664 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
-2024-09-09 14:33:17,667 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
-2024-09-09 14:33:17,670 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
-2024-09-09 14:33:17,673 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
-2024-09-09 14:33:17,676 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
-2024-09-09 14:33:17,680 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
-2024-09-09 14:33:17,683 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
-2024-09-09 14:33:17,686 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
-2024-09-09 14:33:17,689 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
-2024-09-09 14:33:17,690 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.08s
+2024-09-13 10:59:17,352 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2024-09-13 10:59:17,352 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2024-09-13 10:59:17,356 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
+2024-09-13 10:59:17,359 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
+2024-09-13 10:59:17,363 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
+2024-09-13 10:59:17,366 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
+2024-09-13 10:59:17,369 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
+2024-09-13 10:59:17,372 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
+2024-09-13 10:59:17,375 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
+2024-09-13 10:59:17,378 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
+2024-09-13 10:59:17,382 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
+2024-09-13 10:59:17,385 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
+2024-09-13 10:59:17,388 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
+2024-09-13 10:59:17,391 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
+2024-09-13 10:59:17,395 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
+2024-09-13 10:59:17,398 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
+2024-09-13 10:59:17,401 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
+2024-09-13 10:59:17,405 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
+2024-09-13 10:59:17,408 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
+2024-09-13 10:59:17,411 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
+2024-09-13 10:59:17,414 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
+2024-09-13 10:59:17,417 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
+2024-09-13 10:59:17,420 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
+2024-09-13 10:59:17,423 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
+2024-09-13 10:59:17,427 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
+2024-09-13 10:59:17,430 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
+2024-09-13 10:59:17,430 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.08s
 Error after SDC iterations: 1.166689e-05
 </pre></div>
 </div>
diff --git a/tutorial/step_3.html b/tutorial/step_3.html
index 60bd69bdb2..7487ce62f1 100644
--- a/tutorial/step_3.html
+++ b/tutorial/step_3.html
@@ -344,7 +344,7 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-09-09 14:33:18,256 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-09-13 10:59:17,987 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -354,8 +354,8 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2024-09-09 14:33:18,256 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2024-09-09 14:33:18,256 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2024-09-13 10:59:17,987 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2024-09-13 10:59:17,987 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -403,21 +403,21 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2024-09-09 14:33:18,256 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2024-09-09 14:33:18,256 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2024-09-09 14:33:19,610 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
-2024-09-09 14:33:19,617 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
-2024-09-09 14:33:19,624 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
-2024-09-09 14:33:19,631 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
-2024-09-09 14:33:19,638 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
-2024-09-09 14:33:19,645 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
-2024-09-09 14:33:19,651 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
-2024-09-09 14:33:19,658 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
-2024-09-09 14:33:19,665 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
-2024-09-09 14:33:19,672 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
-2024-09-09 14:33:19,679 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
-2024-09-09 14:33:19,681 - hooks - default_hook - post_run - 340 - INFO: Finished run after 1.43s
+2024-09-13 10:59:17,988 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2024-09-13 10:59:17,988 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2024-09-13 10:59:19,432 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
+2024-09-13 10:59:19,438 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
+2024-09-13 10:59:19,445 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
+2024-09-13 10:59:19,452 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
+2024-09-13 10:59:19,459 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
+2024-09-13 10:59:19,466 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
+2024-09-13 10:59:19,472 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
+2024-09-13 10:59:19,479 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
+2024-09-13 10:59:19,486 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
+2024-09-13 10:59:19,492 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
+2024-09-13 10:59:19,499 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
+2024-09-13 10:59:19,502 - hooks - default_hook - post_run - 340 - INFO: Finished run after 1.51s
 Total energy and deviation in iteration  0: 8799.5000000000 -- 0.00000000e+00
 Total energy and deviation in iteration 11: 8785.0038936088 -- 1.44961064e+01
 </pre></div>
diff --git a/tutorial/step_4.html b/tutorial/step_4.html
index 4fc70de895..a4264459ad 100644
--- a/tutorial/step_4.html
+++ b/tutorial/step_4.html
@@ -619,7 +619,7 @@ <h2>Part D: MLSDC with particles<a class="headerlink" href="#part-d-mlsdc-with-p
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">5.86072294</span> <span class="o">--</span>   <span class="mf">6.46032599</span> <span class="o">--</span>   <span class="mf">7.53979950</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">5.92089541</span> <span class="o">--</span>   <span class="mf">6.59956667</span> <span class="o">--</span>   <span class="mf">7.60293033</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span> <span class="mi">12</span><span class="p">:</span> <span class="mf">406977.9425667246</span> <span class="o">--</span> <span class="mf">2.35039652e-03</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
diff --git a/tutorial/step_7.html b/tutorial/step_7.html
index 20ac7a957d..a4526f0981 100644
--- a/tutorial/step_7.html
+++ b/tutorial/step_7.html
@@ -256,49 +256,49 @@ <h2>Part A: pySDC and FEniCS<a class="headerlink" href="#part-a-pysdc-and-fenics
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.7703</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.7514</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387594756569534e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3772</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3311</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473562155116167e-07</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.4160</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3416</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.138768636885694e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.4609</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.4243</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387216566052821e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.1388</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.0577</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473561574763597e-07</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.1364</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.0585</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">5</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1150087179536389e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">11.60</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">4</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.26</span> <span class="o">--</span> <span class="mf">10.64</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">4.1376</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">4.0113</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
@@ -479,7 +479,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.41</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1321e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3491</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3126</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">8.00</span> <span class="o">/</span> <span class="mf">11.40</span> <span class="o">/</span> <span class="mf">15.00</span>
@@ -487,7 +487,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.03</span> <span class="o">--</span> <span class="mf">4.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1749e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.1064</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.0652</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">5.00</span> <span class="o">/</span> <span class="mf">6.60</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -495,7 +495,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">16</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.07</span> <span class="o">--</span> <span class="mf">1.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1316e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3418</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2961</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">4.00</span> <span class="o">/</span> <span class="mf">5.95</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -503,7 +503,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.02</span> <span class="o">--</span> <span class="mf">1.05</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1744e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2176</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2059</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">7.00</span> <span class="o">/</span> <span class="mf">12.45</span> <span class="o">/</span> <span class="mf">18.00</span>
@@ -511,7 +511,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.11</span> <span class="o">--</span> <span class="mf">9.65</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1306e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.7162</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.7485</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span> <span class="o">/</span> <span class="mf">11.50</span> <span class="o">/</span> <span class="mf">17.00</span>
@@ -519,7 +519,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.04</span> <span class="o">--</span> <span class="mf">9.25</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1688e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.5793</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.6019</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
@@ -714,7 +714,7 @@ <h2>Part C: Time-parallel pySDC with space-parallel PETSc<a class="headerlink" h
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.7487</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.4693</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -726,7 +726,7 @@ <h2>Part C: Time-parallel pySDC with space-parallel PETSc<a class="headerlink" h
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8819</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8993</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -737,7 +737,7 @@ <h2>Part C: Time-parallel pySDC with space-parallel PETSc<a class="headerlink" h
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7925</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7918</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 <span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
 <span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
@@ -745,7 +745,7 @@ <h2>Part C: Time-parallel pySDC with space-parallel PETSc<a class="headerlink" h
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7922</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7915</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -850,27 +850,27 @@ <h2>Part D: pySDC and PyTorch<a class="headerlink" href="#part-d-pysdc-and-pytor
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.6266e-03</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.4894e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">8.0879e-08</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.8880e-10</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.5694e-12</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">5.55e-06</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2595e-04</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">4.0283e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.4620e-09</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.4194e-11</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.1991e-14</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">7.27e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.1835e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.1459e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.2670e-10</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.5627e-12</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2615e-14</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.06e-07</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.21e-01</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.10e-01</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.06e-07</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">7.9911e-03</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.9155e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.6440e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">9.8036e-10</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.3640e-12</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.19e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.7820e-04</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.0455e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.5919e-09</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.6401e-11</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">9.7307e-14</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">9.85e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.5848e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.5153e-08</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">5.5625e-10</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.7615e-12</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.4296e-14</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">3.79e-07</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.17e-01</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.09e-01</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">3.79e-07</span>
 </pre></div>
 </div>
 </section>
diff --git a/tutorial/step_8.html b/tutorial/step_8.html
index 0ae272802a..c9ed3a4b1b 100644
--- a/tutorial/step_8.html
+++ b/tutorial/step_8.html
@@ -678,7 +678,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 6 iterations: 3.6530e-08 / 2.0645e-13
    Errors after step   1.0000 with 6 iterations: 3.6478e-08 / 1.2759e-13
 
-...done, took 0.4253391729999976 seconds!
+...done, took 0.32545205999997506 seconds!
 -----------------------------------------------------------------------------
 Running diffusion in 1 dimensions with time-step size 0.125...
 
@@ -692,7 +692,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 3 iterations: 3.5501e-08 / 3.9957e-13
    Errors after step   1.0000 with 3 iterations: 3.6813e-08 / 1.6975e-13
 
-...done, took 0.7367437640000105 seconds!
+...done, took 0.7453807359999587 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -706,7 +706,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 4 iterations: 2.5517e-08 / 3.3307e-16
    Errors after step   1.0000 with 4 iterations: 2.9147e-08 / 4.4409e-16
 
-...done, took 0.21171407900001782 seconds!
+...done, took 0.22372385299996722 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -720,7 +720,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 2 iterations: 2.5987e-08 / 3.1841e-13
    Errors after step   1.0000 with 2 iterations: 2.9666e-08 / 3.1819e-13
 
-...done, took 0.5720185929999957 seconds!
+...done, took 0.6103502469999853 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -734,7 +734,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 6 iterations: 2.8266e-08 / 0.0000e+00
    Errors after step   1.0000 with 6 iterations: 2.8338e-08 / 0.0000e+00
 
-...done, took 0.12974816900000974 seconds!
+...done, took 0.13757413499996574 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -748,7 +748,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 4 iterations: 3.1486e-08 / 0.0000e+00
    Errors after step   1.0000 with 4 iterations: 3.3802e-08 / 0.0000e+00
 
-...done, took 0.15801603599999225 seconds!
+...done, took 0.16138542400000233 seconds!
 -----------------------------------------------------------------------------
 </pre></div>
 </div>