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Symplectic methods for the nonlinear Schrodinger equation
Tang, YF; Vazquez, L; Zhang, F; PerezGarcia, VM
1996-09-01
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume32Issue:5Pages:73-83
AbstractIn 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.
Keywordsymplectic methods nonlinear Schrodinger equation invariants formal energy
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:A1996VD99300006
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:49[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13185
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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