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Multi-symplectic preserving integrator for the Schrodinger equation with wave operator
Wang, Lan1; Kong, Linghua1; Zhang, Liying2; Zhou, Wenying1; Zheng, Xiaohong3
2015-11-15
Source PublicationAPPLIED MATHEMATICAL MODELLING
ISSN0307-904X
Volume39Issue:22Pages:6817-6829
AbstractIn this article, we discuss the conservation laws for the nonlinear Schrodinger equation with wave operator under multi-symplectic integrator (MI). First, the conservation laws of the continuous equation are presented and one of them is new. The multi-symplectic structure and MI are constructed for the equation. The discrete conservation laws of the numerical method are analyzed. It is verified that the proposed MI can stably simulate the Hamiltonian PDEs excellently over long-term. It is more accurate than some energypreserving schemes though they are of the same accuracy. Moreover, the residual of mass is less than energy-preserving schemes under the same mesh partition in a long time. (C) 2015 Elsevier Inc. All rights reserved.
KeywordSchrodinger equation with wave operator Multi-symplectic integrator Conservation laws
DOI10.1016/j.apm.2015.01.068
Language英语
Funding ProjectNational Natural Science Foundation of China[11271171] ; National Natural Science Foundation of China[11301234] ; National Natural Science Foundation of China[91130003] ; Provincial Natural Science Foundation of Jiangxi[20142BCB23009] ; Foundation of Department of Education Jiangxi Province[GJJ12174] ; State Key Laboratory of Scientific and Engineering Computing, CAS ; Jiangsu Key Lab for NSLSCS[201302]
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000365371300006
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21313
Collection中国科学院数学与系统科学研究院
Affiliation1.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100190, Peoples R China
3.Guangdong AIB Polytech Coll, Fdn Dept, Guangzhou 510507, Guangdong, Peoples R China
Recommended Citation
GB/T 7714
Wang, Lan,Kong, Linghua,Zhang, Liying,et al. Multi-symplectic preserving integrator for the Schrodinger equation with wave operator[J]. APPLIED MATHEMATICAL MODELLING,2015,39(22):6817-6829.
APA Wang, Lan,Kong, Linghua,Zhang, Liying,Zhou, Wenying,&Zheng, Xiaohong.(2015).Multi-symplectic preserving integrator for the Schrodinger equation with wave operator.APPLIED MATHEMATICAL MODELLING,39(22),6817-6829.
MLA Wang, Lan,et al."Multi-symplectic preserving integrator for the Schrodinger equation with wave operator".APPLIED MATHEMATICAL MODELLING 39.22(2015):6817-6829.
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