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Difference Methods for Computing the Ginzburg-Landau Equation in Two Dimensions

文献类型：期刊论文

作者Xu, Qiubin1; Chang, Qianshun2
刊名NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
出版日期2011-05-01
卷号27期号:3页码:507-528
关键词Ginzburg-Landau equation difference scheme time-splitting scheme convergence stability
ISSN号0749-159X
DOI10.1002/num.20535
英文摘要In this article, three difference schemes of the Ginzburg-Landau Equation in two dimensions are presented. In the three schemes, the nonlinear term is discretized such that nonlinear iteration is not needed in computation. The plane wave solution of the equation is studied and the truncation errors of the three schemes are obtained. The three schemes are unconditionally stable. The stability of the two difference schemes is proved by induction method and the time-splitting method is analysized by linearized analysis. The algebraic multigrid method is used to solve the three large linear systems of the schemes. At last, we compute the plane wave solution and some dynamics of the equation. The numerical results demonstrate that our schemes are reliable and efficient. (c) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 507-528, 2011
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000288617300002
出版者WILEY-BLACKWELL
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11660]  
专题中国科学院数学与系统科学研究院
通讯作者Xu, Qiubin
作者单位1.Nanjing Audit Univ, Dept Appl Math, Nanjing 211815, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Xu, Qiubin,Chang, Qianshun. Difference Methods for Computing the Ginzburg-Landau Equation in Two Dimensions[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2011,27(3):507-528.
APA Xu, Qiubin,&Chang, Qianshun.(2011).Difference Methods for Computing the Ginzburg-Landau Equation in Two Dimensions.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,27(3),507-528.
MLA Xu, Qiubin,et al."Difference Methods for Computing the Ginzburg-Landau Equation in Two Dimensions".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 27.3(2011):507-528.

入库方式： OAI收割

来源：数学与系统科学研究院

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