Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation
文献类型：期刊论文
| 作者 | Zhu, Huajun1; Song, Songhe1; Tang, Yifa2
|
| 刊名 | COMPUTER PHYSICS COMMUNICATIONS
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 182期号:3页码:616-627 |
| 关键词 | Multi-symplectic Wavelet collocation method Nonlinear Schrodinger equation Camassa-Holm equation |
| ISSN号 | 0010-4655 |
| DOI | 10.1016/j.cpc.2010.11.003 |
| 英文摘要 | In this paper, we develop a novel multi-symplectic wavelet collocation method for solving multi-symplectic Hamiltonian system with periodic boundary conditions. Based on the autocorrelation function of Daubechies scaling functions, collocation method is conducted for the spatial discretization. The obtained semi-discrete system is proved to have semi-discrete multi-symplectic conservation laws and semi-discrete energy conservation laws. Then, appropriate symplectic scheme is applied for time integration, which leads to full-discrete multi-symplectic conservation laws. Numerical experiments for the nonlinear Schrodinger equation and Camassa-Holm equation show the high accuracy, effectiveness and good conservation properties of the proposed method. (C) 2010 Elsevier B.V. All rights reserved. |
| 资助项目 | Natural Science Foundation of China[10471145] ; Natural Science Foundation of China[10971226] ; Natural Science Foundation of China[11001270] ; Natural Science Foundation of China[10672143] ; Natural Science Foundation of China[10872037] ; Natural Science Foundation of China[60931002] ; 973 Project of China[2009CB723802-4] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000287432200008 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11647]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhu, Huajun |
| 作者单位 | 1.Natl Univ Def Technol, Sch Sci, Dept Math & Syst Sci, Changsha 410073, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Huajun,Song, Songhe,Tang, Yifa. Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation[J]. COMPUTER PHYSICS COMMUNICATIONS,2011,182(3):616-627. |
| APA | Zhu, Huajun,Song, Songhe,&Tang, Yifa.(2011).Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation.COMPUTER PHYSICS COMMUNICATIONS,182(3),616-627. |
| MLA | Zhu, Huajun,et al."Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation".COMPUTER PHYSICS COMMUNICATIONS 182.3(2011):616-627. |
入库方式： OAI收割
来源：数学与系统科学研究院
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