RKMK method of solving non-damping LL equations and ferromagnet chain equations
文献类型：期刊论文
| 作者 | Sun, JQ; Ma, ZQ; Qin, MZ |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2004-10-05 |
| 卷号 | 157期号:2页码:407-424 |
| 关键词 | non-damping LL equations ferromagnet chain equations square-conservation schemes RKMK methods |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2003.08.042 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000224276900010 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19363]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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