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Theory and Modern Applications

Table 2 The high order Runge-Kutta methods for ( 4.1 )

From: Asymptotical stability of Runge-Kutta for a class of impulsive differential equations

 

Gauss-Legendre

Radau IA, IIA

Lobatto IIIA, IIIB

Lobatto IIIC

(j,k)

(v,v)

(v − 1,v)

(v − 1,v − 1)

(v − 2,v)

\(H_{7}\subseteq S_{1}\)

v is odd

v is even

v is even

v is odd

\(H_{8}\subseteq S_{1}\)

v is even

v is even

v is odd

v is even