Multi-symplectic Runge-Kutta-Nystrom methods for nonlinear Schrodinger equations with variable coefficients
文献类型：期刊论文
| 作者 | Hong, Jialin ; Liu, Xiao-yan; Li, Chun
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 226期号:2页码:1968-1984 |
| 关键词 | Nonlinear Schrodinger equations multi-symplectic conservation law Runge-Kutta-Nystrom methods charge conservation law |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2007.06.023 |
| 英文摘要 | In this paper, we consider Runge-Kutta-Nystrom (RKN) methods applied to nonlinear Schrodinger equations with variable coefficients (NLSEvc). Concatenating symplectic Nystrom methods in spatial direction and symplectic Runge-Kutta methods in temporal direction for NLSEvc leads to multi-symplectic integrators, i.e. to numerical methods which preserve the multi-symplectic conservation law (MSCL), we present the corresponding discrete version of MSCL. It is shown that the multi-symplectic RKN methods preserve not only the global symplectic structure in time, but also local and global discrete charge conservation laws under periodic boundary conditions. We present a (4-order) multi-symplectic RKN method and use it in numerical simulation of quasi-periodically solitary waves for NLSEvc, and we compare the multi-symplectic RKN method with a non-multi-symplectic RKN method on the errors of numerical solutions, the numerical errors of discrete energy, discrete momentum and discrete charge. The precise conservation of discrete charge under the multi-symplectic RKN discretizations is attested numerically. Some numerical superiorities of the multi-symplectic RKN methods are revealed. (c) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000250209700039 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4115]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hong, Jialin |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Computing, State Key Lab Sci & Engn Computing, Beijing 100080, Peoples R China 2.NE Normal Univ, Dept Math, Changchun 130024, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hong, Jialin,Liu, Xiao-yan,Li, Chun. Multi-symplectic Runge-Kutta-Nystrom methods for nonlinear Schrodinger equations with variable coefficients[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2007,226(2):1968-1984. |
| APA | Hong, Jialin,Liu, Xiao-yan,&Li, Chun.(2007).Multi-symplectic Runge-Kutta-Nystrom methods for nonlinear Schrodinger equations with variable coefficients.JOURNAL OF COMPUTATIONAL PHYSICS,226(2),1968-1984. |
| MLA | Hong, Jialin,et al."Multi-symplectic Runge-Kutta-Nystrom methods for nonlinear Schrodinger equations with variable coefficients".JOURNAL OF COMPUTATIONAL PHYSICS 226.2(2007):1968-1984. |
入库方式： OAI收割
来源：数学与系统科学研究院
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