A Simple Way Constructions Symplectic Runge-Kutta Methods
Geng Sun 11 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.