Symplectic methods for the nonlinear Schrodinger equation

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	Symplectic methods for the nonlinear Schrodinger equation
	Tang, YF ; Vazquez, L ; Zhang, F ; PerezGarcia, VM
	1996-09-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	32 期号:5 页码:73-83
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.
关键词	symplectic methods nonlinear Schrodinger equation invariants formal energy
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1996VD99300006
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13185
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.