On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations
文献类型：期刊论文
| 作者 | Li, Qinghong; Sun, Yajuan; Wang, Yushun |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2006-11-15 |
| 卷号 | 182期号:2页码:1056-1063 |
| 关键词 | Hamiltonian wave equations multisymplectic integrators symplectic Runge-Kutta-Nystrom methods energy and momentum conservation laws |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2006.05.007 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000243202500010 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3620]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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