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Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component

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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.

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Author information

Authors and Affiliations

  1. Institute of High Energy Physics, Chinese Academy of Science, 100049, Beijing, PR China

    Sun Jian-qiang & Ma Zhong-qi

  2. Institute of Computational Mathematics, Chinese Academy of Science, 100080, Beijing, P.R. China

    Qin Meng-zhao

Authors
  1. Sun Jian-qiang
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  2. Ma Zhong-qi
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  3. Qin Meng-zhao
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Additional information

Communicated by Xu Zhen-fan, Original Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China (90103003, 10401033)

Biography: SUN Jian-qiang, Doctor, E-mail: sunjq@mail.ihep.ac.cn

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Jian-qiang, S., Zhong-qi, M. & Meng-zhao, Q. Explicit square conserving schemes of Landau-Lifshitz equation with Gilbert component. Appl Math Mech 26, 73–78 (2005). https://doi.org/10.1007/BF02438367

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  • DOI: https://doi.org/10.1007/BF02438367

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2000 Mathematics Subject Classification

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