| 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
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| 2004
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| 发表期刊 | APPLIED MATHEMATICS AND COMPUTATION
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| 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
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| 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. |
| 文章类型 | Article
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| 关键词 | non-damping LL equations
ferromagnet chain equations
square-conservation schemes
RKMK methods
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| 学科领域 | Mathematics
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| 研究领域[WOS] | Mathematics
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| DOI | 10.1016/j.amc.2003.08.042
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| URL | 查看原文
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| 语种 | 英语
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| WOS类目 | Mathematics, Applied
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| WOS记录号 | WOS:000224276900010
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://ir.ihep.ac.cn/handle/311005/237351
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| 专题 | 理论物理室
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| 作者单位 | 中国科学院高能物理研究所
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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.
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| 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.
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| 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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