Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term
文献类型：期刊论文
| 作者 | Hong, Jialin1 ; Kong, Linghua2
|
| 刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2010-03-01 |
| 卷号 | 7期号:3页码:613-630 |
| 关键词 | Schrodinger equation with trapped term multi-symplectic scheme Fourier spectral method conservation law split-step method |
| ISSN号 | 1815-2406 |
| DOI | 10.4208/cicp.2009.09.057 |
| 英文摘要 | The multi-symplectic Runge-Kutta (MSRK) methods and multi-symplectic Fourier spectral (MSFS) methods will be employed to solve the fourth-order Schrodinger equations with trapped term. Using the idea of split-step numerical method and the MSRK methods, we devise a new kind of multi-symplectic integrators, which is called split-step multi-symplectic (SSMS) methods. The numerical experiments show that the proposed SSMS methods are more efficient than the conventional multi-symplectic integrators with respect to the the numerical accuracy and conservation perserving properties. |
| 资助项目 | Director Innovation Foundation of ICMSEC ; AMSS ; Foundation of CAS ; NNSFC[19971089] ; NNSFC[10371128] ; NNSFC[60771054] ; Major State Basic Research Projects of China[2005CB321701] ; NSFC[10901074] ; Provincial Natural Science Foundation of Jiangxi[2008GQS0054] ; Foundation of Department of Education of Jiangxi Province[GJJ09147] ; Young Growth Foundation of Jiangxi Normal University[2390] ; Doctor Foundation of Jiangxi Normal University[2057] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000274090700011 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10123]  |
| 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 Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China 2.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hong, Jialin,Kong, Linghua. Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2010,7(3):613-630. |
| APA | Hong, Jialin,&Kong, Linghua.(2010).Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,7(3),613-630. |
| MLA | Hong, Jialin,et al."Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 7.3(2010):613-630. |
入库方式： OAI收割
来源：数学与系统科学研究院
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