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

文献类型：期刊论文

作者Cui, Jianbo1; Hong, Jialin1; Liu, Zhihui1; Zhou, Weien2
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2017-08-01
卷号342页码:267-285
关键词Nonlinear Schrodinger equation White noise dispersion Stochastic symplectic and multi-symplectic structures Stochastic symplectic and multi-symplectic schemes
ISSN号0021-9991
DOI10.1016/j.jcp.2017.04.029
英文摘要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.
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
语种英语
WOS记录号WOS:000402476400015
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25680]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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