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RKMK method of solving non-damping LL equations and ferromagnet chain equations
Sun JQ(孙建强); Ma ZQ(马中骐); Sun, JQ; Ma, ZQ; Qin, MZ
2004
发表期刊APPLIED MATHEMATICS AND COMPUTATION
卷号157期号:2页码:407-424
通讯作者Inst High Energy Phys, Beijing 100039, Peoples R China ; Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
文章类型Article
摘要In the paper, we introduce a kind of Lie group method to solve non-damping Landau-Lifshitz (LL) equations and the ferromagnet chain equations. The basic idea is to discretize the partial differential equation into the form dY/dt = F(t, Y), then apply the Lie group method to it. The iterative numerical algorithm can preserve the property of square conservation of the discrete equation. The algorithm has the same accuracy as the classical Runge-Kutta method. It shows that we have proposed a valid algorithm to solve ferromagnet chain equations. The method can be applied to other similar partial differential equations. (C) 2003 Elsevier Inc. All rights reserved.
关键词non-damping LL equations ferromagnet chain equations square-conservation schemes RKMK methods
学科领域Mathematics
DOI10.1016/j.amc.2003.08.042
URL查看原文
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000224276900010
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被引频次:5[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/237351
专题理论物理室
作者单位中国科学院高能物理研究所
推荐引用方式
GB/T 7714
Sun JQ,Ma ZQ,Sun, JQ,et al. RKMK method of solving non-damping LL equations and ferromagnet chain equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2004,157(2):407-424.
APA 孙建强,马中骐,Sun, JQ,Ma, ZQ,&Qin, MZ.(2004).RKMK method of solving non-damping LL equations and ferromagnet chain equations.APPLIED MATHEMATICS AND COMPUTATION,157(2),407-424.
MLA 孙建强,et al."RKMK method of solving non-damping LL equations and ferromagnet chain equations".APPLIED MATHEMATICS AND COMPUTATION 157.2(2004):407-424.
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