CONSTRUCTION OF HIGH ORDER SYMPLECTIC PRK METHODS

作     者：Sun Geng(Institute of Mathematics, Academia Sinica, Beijing, China) 

作者机构：中科院数学所 北京 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：1995年第13卷第1期

页      面：40-50页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：PRK CONSTRUCTION OF HIGH ORDER SYMPLECTIC PRK METHODS Math 

摘      要：In this paper three classes of high order symplectic partitioned Runge-Kutta (PRK) methods, which are based on the W-transformation of Hairer and Wanner, and a particular class of diagonally implicit symplectic PRK methods of arbitrarily high order, which are based on the composite algorithm, are constructed. In particular, the symplectically composite PRK methods of arbitrarily high order become explicit when applied to separable Hamiltonian systems.