Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion

doi:10.1016/j.jcp.2017.04.029

	Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion
	Cui, Jianbo 1; Hong, Jialin1 ; Liu, Zhihui 1; Zhou, Weien 2
	2017-08-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	342 页码:267-285
摘要	We indicate that the nonlinear Schrodinger equation with white noise dispersion possesses stochastic symplectic and multi-symplectic structures. Based on these structures, we propose the stochastic symplectic and multi-symplectic methods, which preserve the continuous and discrete charge conservation laws, respectively. Moreover, we show that the proposed methods are convergent with temporal order one in probability. Numerical experiments are presented to verify our theoretical results. (C) 2017 Elsevier Inc. All rights reserved.
关键词	Nonlinear Schrodinger equation White noise dispersion Stochastic symplectic and multi-symplectic structures Stochastic symplectic and multi-symplectic schemes
DOI	10.1016/j.jcp.2017.04.029
语种	英语
资助项目	National Natural Science Foundation of China[91630312] ; National Natural Science Foundation of China[91530118] ; National Natural Science Foundation of China[11290142]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000402476400015
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25681
专题	计算数学与科学工程计算研究所
通讯作者	Cui, Jianbo
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Natl Univ Def Technol, Coll Sci, Changsha 410073, Peoples R China
推荐引用方式 GB/T 7714	Cui, Jianbo,Hong, Jialin,Liu, Zhihui,et al. Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,342:267-285.
APA	Cui, Jianbo,Hong, Jialin,Liu, Zhihui,&Zhou, Weien.(2017).Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion.JOURNAL OF COMPUTATIONAL PHYSICS,342,267-285.
MLA	Cui, Jianbo,et al."Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion".JOURNAL OF COMPUTATIONAL PHYSICS 342(2017):267-285.