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Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component
Sun, JQ; Ma, ZQ; Qin, MZ
2005
Source PublicationAPPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN0253-4827
Volume26Issue:1Pages:73-78
AbstractA kind of explicit square-conserving scheme is proposed for the Landau-Lifshitz equation with Gilbert component. The basic idea was to semidiscrete the Landau-Lifshitz equation into the ordinary differential equations. Then the Lie group method and the Runge-Kutta ( RK) method were applied to the ordinary differential equations. The square conserving property and the accuracy of the two methods were compared. Numerical experiment results show the Lie group method has the good accuracy and the square conserving property than the RK method.
Keywordexplicit square conserving scheme Lie-group method RK-Cayley method RK method Landau-Lifshitz equation
Language英语
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000226703700010
PublisherSHANGHAI UNIV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/1120
Collection中国科学院数学与系统科学研究院
Corresponding AuthorSun, JQ
Affiliation1.Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Sun, JQ,Ma, ZQ,Qin, MZ. Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2005,26(1):73-78.
APA Sun, JQ,Ma, ZQ,&Qin, MZ.(2005).Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,26(1),73-78.
MLA Sun, JQ,et al."Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 26.1(2005):73-78.
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