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Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation

文献类型：期刊论文

作者Chen, Chuchu1; Hong, Jialin1; Ji, Lihai2
刊名IMA JOURNAL OF NUMERICAL ANALYSIS
出版日期2017-04-01
卷号37期号:2页码:1041-1065
关键词symplectic method local discontinuous Galerkin method stochastic linear Schrodinger equation L-2-stability charge conservation law mean-square convergence
ISSN号0272-4979
DOI10.1093/imanum/drw023
英文摘要In this article, we investigate the mean-square convergence of a novel symplectic local discontinuous Galerkin method in L-2-norm for stochastic linear Schrodinger equation with multiplicative noise. It is shown that the mean-square error is bounded, not only by the temporal and spatial step sizes, but also by their ratio. The mean-square convergence rate with respect to the computational cost is derived under appropriate assumptions for initial data and noise. Meanwhile, we show that the method preserves the discrete charge conservation law, which implies an L-2-stability.
资助项目NNSFC[91130003] ; NNSFC[11021101] ; NNSFC[11290142] ; NNSFC[11471310]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000401009800015
出版者OXFORD UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26010]  
专题计算数学与科学工程计算研究所
通讯作者Ji, Lihai
作者单位1.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Chuchu,Hong, Jialin,Ji, Lihai. Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2017,37(2):1041-1065.
APA Chen, Chuchu,Hong, Jialin,&Ji, Lihai.(2017).Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation.IMA JOURNAL OF NUMERICAL ANALYSIS,37(2),1041-1065.
MLA Chen, Chuchu,et al."Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation".IMA JOURNAL OF NUMERICAL ANALYSIS 37.2(2017):1041-1065.

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来源：数学与系统科学研究院

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