KMS Of Academy of mathematics and systems sciences, CAS
Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion | |
Cui, Jianbo1; Hong, Jialin1; Liu, Zhihui1; Zhou, Weien2 | |
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. |
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