Multi-symplectic Runge-Kutta-type methods for Hamiltonian wave equations

被引：14
|
作者：
Liu, HY
Zhang, K
机构：
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
[2] Harbin Univ Sci & Technol, Dept Math, Harbin, Heilongjiang, Peoples R China
[3] Jilin Univ, Dept Math, Changchun 130023, Jilin, Peoples R China
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2006年 / 26卷 / 02期
关键词：
Hamiltonian PDEs; non-linear wave equations; multi-symplectic; Runge-Kutta method; partitioned Runge-Kutta method; stability analysis;
D O I：
10.1093/imanum/dri042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The non-linear wave equation is taken as a model problem for the investigation. Different multi-symplectic reformulations of the equation are discussed. Multi-symplectic Runge-Kutta methods and multi-symplectic partitioned Runge-Kutta methods are explored based on these different reformulations. Some popular and efficient multi-symplectic schemes are collected and constructed. Stability analyses are performed for these schemes.
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页码：252 / 271
页数：20
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