| 具有Gilbert项的Landau-Lifshitz方程的显式平方守恒格式 |
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| 引用本文： | 孙建强,马中骐,秦孟兆.具有Gilbert项的Landau-Lifshitz方程的显式平方守恒格式[J].应用数学和力学,2005,26(1):67-71. |
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| 作者姓名： | 孙建强 马中骐 秦孟兆 |
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| 作者单位： | 中国科学院 高能物理研究所 理论物理室, 北京 100049;2.中国科学院 计算数学研究所, 北京 100080 |
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| 基金项目： | 国家自然科学基金资助项目(90103003,10401033) |
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| 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．
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| 关 键 词： | 显式平方守恒格式 李群方法 RK-Cayley方法 RK方法 Landau-Lifshitz方程 |
| 文章编号： | 1000-0887(2005)01-0067-05 |
| 收稿时间： | 2002-08-20 |
| 修稿时间： | 2002年8月20日 |
Explicit Square Conserving Schemes of Landau-Lifshitz Equation With Gilbert Component |
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| 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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| Authors: | SUN Jian-qiang MA Zhong-qi QIN Meng-zhao |
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| Institution: | Institute of High Energy Physics, Chinese Academy of Science, Beijing 100049, P. R. China; |
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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 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. |
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| Keywords: | explicit square conserving scheme Lie-group method RK-Cayley method RK method Landau-Lifshitz equation |
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