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	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.

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