RKMK method of solving non-damping LL equations and ferromagnet chain equations

doi:10.1016/j.amc.2003.08.042

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	RKMK method of solving non-damping LL equations and ferromagnet chain equations
	Sun, JQ ; Ma, ZQ ; Qin, MZ
	2004-10-05
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	157 期号:2 页码:407-424
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
DOI	10.1016/j.amc.2003.08.042
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000224276900010
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19364
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, JQ
作者单位	1.Inst High Energy Phys, Beijing 100039, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, JQ,Ma, ZQ,Qin, MZ. RKMK method of solving non-damping LL equations and ferromagnet chain equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2004,157(2):407-424.
APA	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	Sun, JQ,et al."RKMK method of solving non-damping LL equations and ferromagnet chain equations".APPLIED MATHEMATICS AND COMPUTATION 157.2(2004):407-424.