J. Comp. Math., Volume 18.

A Simple Way Constructions Symplectic Runge-Kutta Methods

Geng Sun 1

1 Institute of Mathematics, Academia Sinica, Beijing 100080, China


With the help of symplecticity conditions of Partitioned Runge-Kutta methods, a simple way constructing symplectic methods is derived. Examples including several classes of high order symplectic Runge-Kutta methods are given, and showed up the relationship between existing high order Runge-Kutta methods.

Key words: Symplecticity condition; Partitioned Runge-Kutta method.


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