Accelerated Runge-Kutta Methods

Table 3

Optimized ARK4-4 parameter sets.

	Set 1	Set 2	Set 3
𝑐0	1.0	1.0	1.0
𝑐−0	0.0	0.0	0.0
𝑐1	1.022831928839203211581411	0.9599983629740523357761292	1.038087495003156301209584
𝑐−1	0.02283192883920321158141016	−0.04000163702594766422386892	0.03808749500315630120958582
𝑐2	−0.04515830188318023164196973	0.2483344505743049392964305	−0.1206952296752875905594747
𝑐3	−0.08618700613581317473462200	−0.4400290588051227299292791	0.4307688535040614391640197
𝑐4	0.6085133791797901947951855	0.7316962452567654548567152	0.1518388811680698501858681
𝑎1	0.2464189848045352027663988	0.2128076184231448037007275	0.2340555618293773386595766
𝑎2	0.3794276070851120107016269	0.3807586896791479391397741	0.7532489015566390666145791
𝑎3	0.7567561779707407028536669	0.7262085803548857317347352	0.7932084970935761571360267