Coefficients of the symplectic splitting method (20,16,1)
with m=20, r = 16 and θ′ = 1
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)=0.007414631209241144813389692784935334691694
b(1)=0.02207331800169335164773465213503256023547
a(2)=0.03623426222759801206609407167858456561663
b(2)=0.04960869637084601159298602875689429129296
a(3)=0.06195317507519792491155213193733453566492
b(3)=0.07301320242238520460163654791823551392811
a(4)=0.08225900372220614512285041088807924583467
b(4)=0.08812259426520134574817103586869410907204
a(5)=0.08753493001359059845961490378172593541454
b(5)=0.08254106532130831584875112220523538477316
a(6)=0.09279314010048029770429320127316215481689
b(6)=0.2324199715121334791498133074953154585531
a(7)=-0.007915287190420255656171877211216457856827
b(7)=-0.1105634823531280549356021205074697467224
a(8)=0.1156949303792948744194645163129573500797
b(8)=0.07865195733073801364561077330733098732699
a(9)=0.08973821186381681481692913843103134560870
b(9)=0.09762161755640458762294564618085285477209
a(10)=0.07878572737286302865204532902955863757415
b(10)=0.06236283726782624992836945954872900161665
a(11)=0.08927497206599701407782610269876760838483
b(11)=0.1714789874836309599970201958973872561960
a(12)=-0.03996863981076093593365809259173413018968
b(12)=-0.02466621229291090015293533954217329097585
a(13)=0.1850243645389626024317250702773555232121
b(13)=0.03166828394786367206320415798805002309663
a(14)=0.1435155202323987046124771430798025574582
b(14)=-0.01723277711609889822375725787711736356771
a(15)=-0.07159718988341971326561616354579214166047
b(15)=0.1024594904144920791584489450841646991193
a(16)=0.01824125926044340449312046453235665939523
b(16)=-0.09860646976175775364569764151227592465491
a(17)=-0.02341932584184287950100664288789720240292
b(17)=0.1347235485383251588886142788647607079054
a(18)=0.01724177854287882949610164842797796224707
b(18)=-0.07100618369720753531344297428355830151747
a(19)=-0.06267438306738107386557390059766075089897
b(19)=0.01333129737310091661681039124457662217861
a(20)=0.07873156408603264634346390193773142103507
b(20)=0.08199825741515379576131879122733515737185
a(21)=0.02113735510282281580107894976293984597443
b(21)=0.