Theory and Modern Applications
Table 1 The high order Runge-Kutta methods for ( 1.1 )
From: Asymptotical stability of Runge-Kutta for a class of impulsive differential equations
| Â | Gauss-Legendre | Radau IA, IIA | Lobatto IIIA, IIIB | Lobatto IIIC |
|---|---|---|---|---|
(j,k) | (v,v) | (v − 1,v) | (v − 1,v − 1) | (v − 2,v) |
\(H_{1}\subseteq S\) | v is even | v is odd | v is odd | v is even |
\(H_{2}\subseteq S\) | v is odd | v is even | v is even | v is odd |
\(H_{3}\subseteq S\) | v is odd | v is odd | v is even | v is odd |
\(H_{4}\subseteq S\) | v is even | v is even | v is odd | v is even |