Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations | |
Hong, Jialin ; Jiang, Shanshan ; Li, Chun | |
2009 | |
关键词 | Klein-Gordon-Schrodinger equation Multi-symplectic integrator Runge-Kutta-Nystrom method Runge-Kutta-type method Explicit VARIABLE-COEFFICIENTS NUMERICAL-METHODS HAMILTONIAN PDES SCHEMES |
英文摘要 | in this paper, we propose explicit multi-symplectic schemes for Klein-Gordon-Schrodinger equation by concatenating suitable symplectic Runge-Kutta-type methods and symplectic Runge-Kutta-Nystrom-type methods for discretizing every partial derivative in each sub-equation. It is further shown that methods constructed in this way are multi-symplectic and preserve exactly the discrete charge conservation law provided appropriate boundary conditions. In the aim of the commonly practical applications, a novel 2-order-one-parameter family of explicit multi-symplectic schemes through such concatenation is constructed, and the numerous numerical experiments and comparisons are presented to show the efficiency and some advantages of the our newly derived methods. Furthermore, some high-order explicit multi-symplectic schemes of such category are given as well, good performances and efficiencies and some significant advantages for preserving the important invariants are investigated by means of numerical experiments. (C) 2009 Elsevier Inc. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 0; ARTICLE; 9; 3517-3532; 228 |
语种 | 英语 |
出处 | SCI |
出版者 | 计算物理学杂志 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/245836] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Hong, Jialin,Jiang, Shanshan,Li, Chun. Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations. 2009-01-01. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论