Symplectic methods for the nonlinear Schrodinger equation
文献类型:期刊论文
作者 | Tang, YF; Vazquez, L; Zhang, F; PerezGarcia, VM |
刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
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出版日期 | 1996-09-01 |
卷号 | 32期号:5页码:73-83 |
关键词 | symplectic methods nonlinear Schrodinger equation invariants formal energy |
ISSN号 | 0898-1221 |
英文摘要 | In this paper, we show that the spatial discretization of the nonlinear Schrodinger equation leads to a Hamiltonian system, which can be simulated with symplectic numerical schemes. In particular, we apply two symplectic integrators to the nonlinear Schrodinger equation, and we demonstrate that they are able to produce accurate results and to preserve very well the invariants of the original system, such as the energy and charge. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:A1996VD99300006 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13184] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Tang, YF |
作者单位 | 1.NATL UNIV SINGAPORE, FAC SCI, COMPUTAT SCI PROGRAM, SINGAPORE 119260, SINGAPORE 2.UNIV CASTILLA LA MANCHA, ESCUELA TECN SUPER INGENIEROS IND, DEPT MATEMAT, CIUDAD REAL 13071, SPAIN 3.CHINESE ACAD SCI, INST COMPUTAT MATH & SCI ENGN COMP, BEIJING 100080, PEOPLES R CHINA |
推荐引用方式 GB/T 7714 | Tang, YF,Vazquez, L,Zhang, F,et al. Symplectic methods for the nonlinear Schrodinger equation[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,1996,32(5):73-83. |
APA | Tang, YF,Vazquez, L,Zhang, F,&PerezGarcia, VM.(1996).Symplectic methods for the nonlinear Schrodinger equation.COMPUTERS & MATHEMATICS WITH APPLICATIONS,32(5),73-83. |
MLA | Tang, YF,et al."Symplectic methods for the nonlinear Schrodinger equation".COMPUTERS & MATHEMATICS WITH APPLICATIONS 32.5(1996):73-83. |
入库方式: OAI收割
来源:数学与系统科学研究院
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