EXPLICIT SQUARE CONSERVING SCHEMES OF LANDAU-LIFSHITZ EQUATION WITH GILBERT COMPONENT

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (1): 73-78 .

EXPLICIT SQUARE CONSERVING SCHEMES OF LANDAU-LIFSHITZ EQUATION WITH GILBERT COMPONENT

孙建强, 马中骐, 秦孟兆

收稿日期:2002-08-20 修回日期:2004-10-10 出版日期:2005-01-18 发布日期:2005-01-18
通讯作者: 孙建强

EXPLICIT SQUARE CONSERVING SCHEMES OF LANDAU-LIFSHITZ EQUATION WITH GILBERT COMPONENT

SUN Jian-qiang, MA Zhong-qi, QIN Meng-zhao

1. Institute of High Energy Physics, Chinese Academy of Science, Beijing 100049, P.R.China；
2. Institute of Computational Mathematics, Chinese Academy of Science,
  Beijing 100080, P.R.China

Received:2002-08-20 Revised:2004-10-10 Online:2005-01-18 Published:2005-01-18
Contact: SUN Jian-qiang

摘要/Abstract

Abstract: A 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.

Key words: Lie-group method, RK-Cayley method, explicit square conserving scheme, RK method, Landau-Lifshitz equation

中图分类号:

孙建强;马中骐;秦孟兆. EXPLICIT SQUARE CONSERVING SCHEMES OF LANDAU-LIFSHITZ EQUATION WITH GILBERT COMPONENT[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(1): 73-78 .

SUN Jian-qiang;MA Zhong-qi;QIN Meng-zhao. EXPLICIT SQUARE CONSERVING SCHEMES OF LANDAU-LIFSHITZ EQUATION WITH GILBERT COMPONENT[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(1): 73-78 .

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EXPLICIT SQUARE CONSERVING SCHEMES OF LANDAU-LIFSHITZ EQUATION WITH GILBERT COMPONENT

EXPLICIT SQUARE CONSERVING SCHEMES OF LANDAU-LIFSHITZ EQUATION WITH GILBERT COMPONENT

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