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.

引用

页码：252 / 271

页数：20

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