Multisymplectic schemes for the nonlinear Klein-Gordon equation
文献类型：期刊论文
| 作者 | Wang, YS; Qin, MZ |
| 刊名 | MATHEMATICAL AND COMPUTER MODELLING
 |
| 出版日期 | 2002-12-01 |
| 卷号 | 36期号:9-10页码:963-977 |
| 关键词 | multisymplectic structure variational principle multisymplectic schemes nonlinear Klein-Gordon equation numerical experiments |
| ISSN号 | 0895-7177 |
| 英文摘要 | In this paper, we derive the multisymplectic structure of the nonlinear Klein-Gordon equation directly from the variational principle and show the connection between the relative theories of Bridges-Reich's and Marsdon-Partrick-Shkoller's. In the numerical aspect, we construct a series of multisymplectic schemes for the nonlinear Klein-Gordon equation. Among these schemes, some are the classical, such as the five points scheme and the Preissman box scheme, some are new which we never encountered in the literature. Some numerical results are also reported to show the effectiveness of the schemes. (C) 2002 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000179831100002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17420]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, YS |
| 作者单位 | 1.Chinese Acad Sci, Inst Atmospher Phys, LASG, Beijing 100029, Peoples R China 2.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, YS,Qin, MZ. Multisymplectic schemes for the nonlinear Klein-Gordon equation[J]. MATHEMATICAL AND COMPUTER MODELLING,2002,36(9-10):963-977. |
| APA | Wang, YS,&Qin, MZ.(2002).Multisymplectic schemes for the nonlinear Klein-Gordon equation.MATHEMATICAL AND COMPUTER MODELLING,36(9-10),963-977. |
| MLA | Wang, YS,et al."Multisymplectic schemes for the nonlinear Klein-Gordon equation".MATHEMATICAL AND COMPUTER MODELLING 36.9-10(2002):963-977. |
入库方式： OAI收割
来源：数学与系统科学研究院
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