QUADRATIC INVARIANTS AND SYMPLECTIC STRUCTURE OF GENERAL LINEAR METHODS  

作　　者：Xiao, AG Li, SF Yang, M 

机构地区：[1]Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China

出　　处：《Journal of Computational Mathematics》2001年第3期269-280,共12页计算数学（英文）

基　　金：NSF of China(No. 19871070), Wang Kuancheng Foundation for Rewarding thePostdoctors of Chinese Academy of Sciences and the Post

摘　　要：Focuses on a study which presented some invariants and conservation laws of general linear methods applied to differential equation systems. Information on the quadratic invariants; Conservation of symplectic structure; Details on the multiple Runge-Kutta methods; Equations of the one-leg methods.Focuses on a study which presented some invariants and conservation laws of general linear methods applied to differential equation systems. Information on the quadratic invariants; Conservation of symplectic structure; Details on the multiple Runge-Kutta methods; Equations of the one-leg methods.

关 键 词：quadratic invariants SYMPLECTICITY general linear methods Hamiltonian systems 

分 类 号：O241[理学—计算数学]