Coefficients of the symplectic splitting method (30,0,0.75)
with m=30, r = 0 and θ′ = 0.75
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)=0.005543304088965095101876120723375869259850
b(1)=0.01645325465344178026748943886563838874436
a(2)=0.02663658145625025005432791059112738824393
b(2)=0.03515249660225582925258986521549518918529
a(3)=0.04177263752841313667647752658270793464311
b(3)=0.04777526292361563140293647368577362925832
a(4)=0.04705218373677924066662254811245677868354
b(4)=0.05465178161031508803947298534856387259670
a(5)=-0.1015601374091618390588840144168034279586
b(5)=0.004775662332986367458473604145108467024929
a(6)=0.04139845279528095945060263966971152688723
b(6)=-0.01287182194032989654925915523928902975821
a(7)=0.1047161946188313157849491148124032089069
b(7)=0.05776833546236657755697640344607219505844
a(8)=0.08398641395663546575979929854483018691333
b(8)=0.01520721582931097853748535678173250883828
a(9)=0.08118750186541828205682730390392899329776
b(9)=-0.007563139007863805628441929240332267357116
a(10)=-0.07700480587439105747377825998324542081630
b(10)=0.06706647426758098261525337946227655610181
a(11)=0.05560491414939796160698021684960416117500
b(11)=0.06413826949511660897630874217222999831862
a(12)=0.06702066143638134839898540596464993574320
b(12)=0.06861117355629521131279922684313843391029
a(13)=0.07082662188095157236521132425837902217140
b(13)=0.07241874074622568604725605352072937262945
a(14)=0.06764588862559721704258224071191036879103
b(14)=0.04739234744417301834314153382409104650929
a(15)=0.03838334589692253374480571918326531403765
b(15)=0.06431969713122476692696926296896363953371
a(16)=0.1377129091494292194691574585488670589352
b(16)=-0.01382948042743306683638803522919106801059
a(17)=-0.03641560213465773363553607360987964515210
b(17)=0.1358683738601928933982038305782447023697
a(18)=-0.1747974630715026341919460098642702760830
b(18)=-0.002555725907007152221730425862002203249281
a(19)=0.2186790073643428053248371191200484295904
b(19)=0.009092972685365081254936156716027891146095
a(20)=0.08208905615631097297882662946138991962017
b(20)=0.1308454146325840255658651084072873677770
a(21)=-0.1123418973529413978602251865628736426000
b(21)=0.01259329926052248101980541163316559974561
a(22)=0.009997711489116356624708806981986365925326
b(22)=-0.02021280645208487135652448789500493848880
a(23)=0.2179615940355991100482892180548512294481
b(23)=0.03932606187193126047489509853514472459575
a(24)=0.04067571213833102744316463370644131615288
b(24)=-0.03571018426511671284393747484078759957175
a(25)=-0.02131248830475691003618811592117218294041
b(25)=0.05603507418327435997951441030209433273876
a(26)=0.05962892081758609809298758190757178080668
b(26)=-0.02670979627048504848028721501424884317341
a(27)=-0.03025598677463866812619920852260935657560
b(27)=-0.03349478513587650031263507132248456394123
a(28)=0.01388900074141943336649977946447073332639
b(28)=0.03145233596388014269089913978409514049563
a(29)=-0.01526697324880307792268762942532149511932
b(29)=0.09090912896555626798343293437491498674702
a(30)=0.04637688230290039992850891357501206334781
b(30)=0.03109436592793809484743072891189152152707
a(31)=0.01016985794003741150337645919500239053958
b(31)=0.