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

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

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(1): 67-71

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.

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.

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

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

Received Date: 2002-08-20
Rev Recd Date: 2004-10-10
Publish Date: 2005-01-15

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 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.
- explicit square conserving scheme,
- Lie-group method,
- RK-Cayley method,
- RK method,
- Landau-Lifshitz equation

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References(7)

References

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