Accelerated Runge-Kutta Methods

Table 2

Optimized ARK4 parameter sets.

	Set 1	Set 2	Set 3
𝑐0	1.0	√−441−119+√41	√−441−119+√41
𝑐−0	0.0	√−541−79+√41	√−541−79+√41
𝑐1	1.017627673204495246749635	1636√41−1(9+√41)^2	1636√41−1(9+√41)^2
𝑐−1	0.01762767320449524674963508	433√41−13(9+√41)^2	433√41−13(9+√41)^2
𝑐2	−0.1330037778097525280771293	0	2003(9+√41)^2
𝑐3	0.6153761046052572813274942	4003(9+√41)^2	2003(9+√41)^2
𝑎1	0.3588861139198819376595942	9+√4140	9+√4120
𝑎2	0.7546602348483596232355257	9+√4120	9+√4120