Multi-symplectic preserving integrator for the Schrodinger equation with wave operator

doi:10.1016/j.apm.2015.01.068

	Multi-symplectic preserving integrator for the Schrodinger equation with wave operator
	Wang, Lan 1; Kong, Linghua 1; Zhang, Liying 2; Zhou, Wenying 1; Zheng, Xiaohong 3
刊名	APPLIED MATHEMATICAL MODELLING
	2015-11-15
卷号	39 期号:22 页码:6817-6829
关键词	Schrodinger equation with wave operator Multi-symplectic integrator Conservation laws
ISSN号	0307-904X
DOI	10.1016/j.apm.2015.01.068
英文摘要	In 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.
资助项目	National 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研究方向	Engineering ; Mathematics ; Mechanics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000365371300006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/21312]
专题	中国科学院数学与系统科学研究院
通讯作者	Kong, Linghua
作者单位	1.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
推荐引用方式 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.