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

doi:10.1016/j.apm.2015.01.068

CSpace

	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
	2015-11-15
发表期刊	APPLIED MATHEMATICAL MODELLING
ISSN	0307-904X
卷号	39 期号:22 页码:6817-6829
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.
关键词	Schrodinger equation with wave operator Multi-symplectic integrator Conservation laws
DOI	10.1016/j.apm.2015.01.068
语种	英语
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
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000365371300006
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21313
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.