Coefficients of the symplectic splitting method (30,6,1.4)
with m=30, r = 6 and θ′ = 1.4
Table 1 of the paper "Error
analysis of splitting methods for the time
dependent
Schrödinger equation", by Sergio Blanes, Fernando Casas, and
Ander
Murua.
a(1)=0.008908074584007177345580905282315884800618
b(1)=0.02597899559482107557388441464072406970546
a(2)=0.03946568059520404437496558985174919808817
b(2)=0.04246534679028690380316564075947105677097
a(3)=0.03971044214489297410443043153770877016310
b(3)=0.05519709473146403356715364995070115883452
a(4)=0.03122064977356811496032459972619687827010
b(4)=0.02307571944551617415702276411226607161724
a(5)=-0.04827627858416461036626691440238251958561
b(5)=-0.01379716548420203110554589377987206225156
a(6)=0.08179009136340595851297666985877273624818
b(6)=0.08290956334111858519611317612490024316838
a(7)=-0.04580333783664271347343315794924787609285
b(7)=-0.09824980875186508368388665140351783021052
a(8)=0.0003955081182649762701982317366486598544456
b(8)=0.08711568606540083947553011248062054537639
a(9)=0.1360697452912211634417718884860282816790
b(9)=0.06385889816325582708267146545415022736605
a(10)=0.04452065861578941274975415212208026678942
b(10)=0.04866812813131099325707592123080614918872
a(11)=0.1227866573663828745691192311552936265620
b(11)=-0.004085056519634027716912258442228795653421
a(12)=-0.05396525925560424624670634902223239629685
b(12)=0.07298179714708289039484201466428657796713
a(13)=0.05477183801626790498514939374497636964582
b(13)=0.04818221501685854921898821373382006313380
a(14)=0.04418154715651602768274276448693039326155
b(14)=0.04362234705058536160753959376207597981594
a(15)=0.04520995493341567398905390687453952657685
b(15)=0.04611529706061263433742081867833795515958
a(16)=0.04524091563515916318949672226747356594990
b(16)=0.04318572777287441442282787568036664758459
a(17)=0.04137521439009150662720367810717392670857
b(17)=0.04159892814716117157870626439199773446693
a(18)=0.04482355036693329838801998772461966697710
b(18)=0.05155891560740714444045091971625022082300
a(19)=0.07336587308253990619108664117046568658131
b(19)=-0.03493287407390204983836814867409943044359
a(20)=-0.006564270232198264022022667462229100519344
b(20)=0.1047423324270049465536183701807931654456
a(21)=0.05668772641968812484438694186670230182943
b(21)=0.04947811878475871671444393168388264776515
a(22)=0.05396885827123836264047964292889396806561
b(22)=0.1060436774919291447006746802189157235617
a(23)=-0.01329295938150440856691056363455076438452
b(23)=-0.03083466160729459011165984908261937424103
a(24)=0.1388523369822048883200762551136875553944
b(24)=-0.005670313220408059905174601721988226182137
a(25)=-0.05186704816707540530091715170522267501114
b(25)=0.03879285064231272450457518336297499607524
a(26)=0.03890523277259425551196537808280543435952
b(26)=0.05128768437125224242562013962774269407426
a(27)=0.03706522078354847095913640082309850688098
b(27)=-0.02515820178007478570746073827479902029624
a(28)=-0.1135536971076467022351530089455505744768
b(28)=0.001668014203219140292620314470642260322168
a(29)=0.1059806137927205242018840573482912374921
b(29)=0.05198305692541458298232802449190262664654
a(30)=0.03614521161267082783837075841389534159905
b(30)=0.03221768652573253178173465196149592440913
a(31)=0.01188124849651071851323558441106812258991
b(31)=0.