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

doi:10.1016/j.jcp.2009.02.006

	Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations
	Hong, Jialin1 ; Jiang, Shanshan 2; Li, Chun 1
	2009-05-20
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	228 期号:9 页码:3517-3532
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.
关键词	Klein-Gordon-Schrodinger equation Multi-symplectic integrator Runge-Kutta-Nystrom method Runge-Kutta-type method Explicit
DOI	10.1016/j.jcp.2009.02.006
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000265059100023
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8729
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.