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Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations

文献类型：期刊论文

作者Hong, Jialin1; Jiang, Shanshan2; Li, Chun1
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2009-05-20
卷号228期号:9页码:3517-3532
关键词Klein-Gordon-Schrodinger equation Multi-symplectic integrator Runge-Kutta-Nystrom method Runge-Kutta-type method Explicit
ISSN号0021-9991
DOI10.1016/j.jcp.2009.02.006
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.
WOS研究方向Computer Science ; Physics
语种英语
WOS记录号WOS:000265059100023
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8728]  
专题计算数学与科学工程计算研究所
通讯作者Hong, Jialin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式
GB/T 7714		 Hong, Jialin,Jiang, Shanshan,Li, Chun. Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2009,228(9):3517-3532.
APA Hong, Jialin,Jiang, Shanshan,&Li, Chun.(2009).Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations.JOURNAL OF COMPUTATIONAL PHYSICS,228(9),3517-3532.
MLA Hong, Jialin,et al."Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations".JOURNAL OF COMPUTATIONAL PHYSICS 228.9(2009):3517-3532.

入库方式： OAI收割

来源：数学与系统科学研究院

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