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, 2005, 26(1): 67-71.
Citation: 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, 2005, 26(1): 67-71.

Explicit Square Conserving Schemes of Landau-Lifshitz Equation With Gilbert Component

  • Received Date: 2002-08-20
  • Rev Recd Date: 2004-10-10
  • Publish Date: 2005-01-15
  • 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 is skewsymmtery matrix.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.
  • loading
  • [1]
    郭柏灵.自旋波与铁磁链速方程[M].杭州:浙江科学技术出版社,2000.
    [2]
    Jason Frank,HUANG Wei-zhang,Benediet Leimkuler.Geometric integration for classical spin system[J].J Comput Phys,1997,133(1):160—172. doi: 10.1006/jcph.1997.5672
    [3]
    鲁百年,房少梅.铁磁链方程的显式差分解[J].纺织高校基础科学学报,1995,8(3):225—229.
    [4]
    ZHOU Yu-lin,GUO Bo-ling.Finite difference solution of the boundary problems for the systems of the ferro-magnetic chain[J].Journal of Comp Mathematics,1983,1(3):294—302.
    [5]
    秦孟兆.铁磁链方程组的两个差分格式[J].计算数学,1984,(4):443—444.
    [6]
    Hans Munthe-Kaas.High order Runge-Kutta methods on Manifolds[J].Appl Numer Math,1999,29(1):115—127. doi: 10.1016/S0168-9274(98)00030-0
    [7]
    Arieh Iserles.Numerical analysis in Lie groups[R]. Cambridge CB3 9EW, England,2000.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2701) PDF downloads(715) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return