KMS Of Academy of mathematics and systems sciences, CAS
On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations | |
Li, Qinghong; Sun, Yajuan; Wang, Yushun | |
2006-11-15 | |
发表期刊 | APPLIED MATHEMATICS AND COMPUTATION |
ISSN | 0096-3003 |
卷号 | 182期号:2页码:1056-1063 |
摘要 | Many conservative partial differential equations (PDEs), such as wave equations, Schrodinger equations, KdV equations, Maxwell equations and so on, allow for a multisymplectic formulation which can be regarded as a generalization of the symplectic structure of Hamiltonian ordinary differential equations (ODEs). In this note, for Hamiltonian wave equations, we show the discretization in space and time using two symplectic Runge-Kutta-Nystrom (SRKN) methods respectively leads to a multisymplectic integrator which can preserve a discrete multisymplectic conservation law. Moreover, we discuss the energy and momentum conservative properties of the multisymplectic integrator for the wave equations with a quadratic potential. (c) 2006 Elsevier Inc. All rights reserved. |
关键词 | Hamiltonian wave equations multisymplectic integrators symplectic Runge-Kutta-Nystrom methods energy and momentum conservation laws |
DOI | 10.1016/j.amc.2006.05.007 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000243202500010 |
出版者 | ELSEVIER SCIENCE INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/3621 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, Qinghong |
作者单位 | 1.Nanjing Normal Univ, Sch Math & CS, Nanjing 210097, Peoples R China 2.Chuzhou Coll, Dept Math, Chuzhou 239000, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Computat Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Qinghong,Sun, Yajuan,Wang, Yushun. On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,182(2):1056-1063. |
APA | Li, Qinghong,Sun, Yajuan,&Wang, Yushun.(2006).On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations.APPLIED MATHEMATICS AND COMPUTATION,182(2),1056-1063. |
MLA | Li, Qinghong,et al."On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations".APPLIED MATHEMATICS AND COMPUTATION 182.2(2006):1056-1063. |
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