具有Gilbert项的Landau-Lifshitz方程的显式平方守恒格式

基金项目: 国家自然科学基金资助项目(90103003;10401033)

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;

摘要: 构造了一种解具有Gilbert项的Landau-Lifshitz方程的显式平方守恒格式．基本思想是离散Landau-Lifshitz方程成常微分方程组,应用李群方法和显式Runge-Kutta方法解常微分方程组．数值试验比较了两方法的保平方守恒特性和精度,得出李群方法(RK-Cayley方法)比相应的Runge-Kutta(RK)方法有更好的精度和保平方守恒特性．
- 显式平方守恒格式 /
- 李群方法 /
- RK-Cayley方法 /
- RK方法 /
- Landau-Lifshitz方程
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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