Coefficients of the symplectic splitting method (30,24,1)
with m=30, r = 24 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)=0.003693583221477982653770267080610557936248
b(1)=0.01104643691579683374388421953844638486530
a(2)=0.01829370069134670687835896274966826070827
b(2)=0.02535358460328956004423924047538854632981
a(3)=0.03211832938386952564010259786834580908090
b(3)=0.03843015646392903623612990702023690929468
a(4)=0.04407112613713512884259940967328371539782
b(4)=0.04884970444710473249899698450778732526849
a(5)=0.05285069847450656594820090703631664737570
b(5)=0.05637817997494626845516359640868250534873
a(6)=0.05847062515280092598931552658133730200834
b(6)=0.05744423231163385142541819299791673461704
a(7)=0.06559826739366923324423304661437321682380
b(7)=0.2077167119676951717418442933990645188180
a(8)=-0.05277005513097500415224351790823303796904
b(8)=0.0009749061529859809627463740045666877911849
a(9)=0.04836494153553850955476087183045619786470
b(9)=-0.1214058866447049781462667112400118530417
a(10)=0.08395022466401532655903964733645103101635
b(10)=0.06103980526979833559605666432037428679829
a(11)=0.06355150569203642014528751679560588308983
b(11)=0.06390419731222837401548495203447819365739
a(12)=0.06227075655449395955390363669053894846190
b(12)=0.06142898246523171373381050196164008821403
a(13)=0.06181203048598145388836622379858208199461
b(13)=0.06159344705614888187566326298351375670760
a(14)=0.05844154904932143948264463682949069397884
b(14)=0.05509030914169244499611919387425320703991
a(15)=0.05858041750629701686026695923884081906634
b(15)=0.06980760074003433405950113411042172319141
a(16)=0.1057493191501150799136104996333464741881
b(16)=-0.02029173960457265803020802080157547101307
a(17)=-0.01878139429294900850274114296104708943232
b(17)=0.09583846044924924319707506027811966625871
a(18)=0.04906014948116594040748134821773122175462
b(18)=0.06271242343490716122885938240450873344530
a(19)=0.1703074920939543232482583801969015099696
b(19)=-0.002719661341151175521243126927330649649675
a(20)=-0.09520210414226675402645893853931313806556
b(20)=0.04465550921024584514928334384221164209099
a(21)=0.08831050225251286729658399307325343062775
b(21)=-0.02475464091071164493084435180621318480316
a(22)=-0.01984941770101593257528654836420241624747
b(22)=0.06538376624612350394268792822979509820769
a(23)=0.03082521499337654759084074544010130957988
b(23)=-0.03616306826925042511885009095976789084437
a(24)=-0.02030192813962552492744583550003845348094
b(24)=0.08362558002224396283617793036161702617436
a(25)=0.02095912992991653572338729573984529605771
b(25)=-0.02410449795847660933404495472710291644337
a(26)=-0.02723887684897179123504259575397326007175
b(26)=0.09296098440935041198585147174438495420932
a(27)=-0.01242629396382451972628716162263995030142
b(27)=-0.02578525223121943445464965758327163385506
a(28)=0.01724416480233924803509205144770513891868
b(28)=-0.08377975733609533493144505127976714363079
a(29)=-0.01271530243634483346755616276629435366795
b(29)=0.03339691614452586906353168389644414992782
a(30)=0.05280176455430299766665326613709703313293
b(30)=0.04137260955702074367902664693118860502511
a(31)=0.01195987945579963349030411340585912020361
b(31)=0.