Symplectic Partitioned Runge-Kutta And Symplectic Runge-Kutta Methods Generated By 2-Stage RadauIA Method

被引：0
|
作者：
Tan, Jiabo [1 ]
机构：
[1] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2 | 2014年 / 444-445卷
关键词：
Hamiltonian systems; symplecticity; RadauIA method; Runge-Kutta method; partitioned Runge-Kutta method;
D O I：
10.4028/www.scientific.net/AMM.0.633
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
To preserve the symplecticity property, it is natural to require numerical integration of Hamiltonian systems to be symplectic. As a famous numerical integration, it is known that the 2-stage RadauIA method is not symplectic. With the help of symplectic conditions of Runge-Kutta method and partitioned Runge-Kutta method, a symplectic partitioned Runge-Kutta method and a symplectic Runge-Kuyta method are constructed on the basis of 2-stage RadauIA method in this paper.
引用
收藏
页码：633 / 636
页数：4
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