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Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge
Ma, Chupeng1,2; Cao, Liqun1,2; Lin, Yanping3
2018-10-01
Source PublicationIMA JOURNAL OF NUMERICAL ANALYSIS
ISSN0272-4979
Volume38Issue:4Pages:2074-2104
AbstractIn this article, we study a numerical method and its convergence for solving the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge. An alternating Crank-Nicolson finite-element method for solving the problem is presented and an optimal error estimate for the numerical algorithm is obtained by a mathematical inductive method. Numerical experiments are then carried out to confirm the theoretical results.
Keyworderror estimates Crank-Nicolson Galerkin method Maxwell-Schrodinger
DOI10.1093/imanum/drx060
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000450010500015
PublisherOXFORD UNIV PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31725
Collection计算数学与科学工程计算研究所
Corresponding AuthorCao, Liqun
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Ma, Chupeng,Cao, Liqun,Lin, Yanping. Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2018,38(4):2074-2104.
APA Ma, Chupeng,Cao, Liqun,&Lin, Yanping.(2018).Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge.IMA JOURNAL OF NUMERICAL ANALYSIS,38(4),2074-2104.
MLA Ma, Chupeng,et al."Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge".IMA JOURNAL OF NUMERICAL ANALYSIS 38.4(2018):2074-2104.
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