| 一类高振荡微分方程组的一个对称数值解法 |
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| 引用本文： | 陈钊,赵平福.一类高振荡微分方程组的一个对称数值解法[J].数值计算与计算机应用,2009,30(2):143-150. |
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| 作者姓名： | 陈钊 赵平福 |
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| 作者单位： | 北京交通大学理学院,北京,100044 |
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| 摘 要： | 讨论形如（x）＋Ω^2x=g（x）（g（x）=-（（δ）U）/（（δ）x））的一类高振荡微分方程组数值解法构造问题.我们给出了计算该类方程组的一个对称数值解法.并以FPU问题为例进行数值实验,与脉冲法相比较,数值实验结果显示该解法具有较好的能量保守性.
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| 关 键 词： | Hamilton系统 高振荡微分方程 脉冲方法 对称数值算法 |
A SYMMETRIC NUMERICAL METHOD FOR A KIND OF HIGHLY-OSCILLATORY DIFFERENTIAL EQUATIONS |
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| Chen Zhao,Zhao Pingfu.A SYMMETRIC NUMERICAL METHOD FOR A KIND OF HIGHLY-OSCILLATORY DIFFERENTIAL EQUATIONS[J].Journal on Numerical Methods and Computer Applications,2009,30(2):143-150. |
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| Authors: | Chen Zhao Zhao Pingfu |
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| Affiliation: | Chen Zhao Zhao Pingfu (School of Science, Beijing Jiaotong University, Beijing 100044, China) |
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| Abstract: | This paper deals with the numerical methods for highly-oscillatory differential equations （x）＋Ω^2x=g（x）（g（x）=-（（δ）U）/（（δ）x））. A symmetric method is given. The numerical experiment results for FPU problem show that compared with the impulse method, the method has better energy conservation. |
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| Keywords: | Hamiltonian systems Highly-oscillatory differential equations impulse method symmetric numerical method |
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