TY - JOUR T1 - A Simple Way Constructing Symplectic Runge-Kutta Methods AU - Geng Sun JO - Journal of Computational Mathematics VL - 1 SP - 61 EP - 68 PY - 2000 DA - 2000/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9022.html KW - Symplecticity condition, Partitioned Runge-Kutta method. AB -
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.