一类高振荡微分方程组的一个对称数值解法

A SYMMETRIC NUMERICAL METHOD FOR A KIND OF HIGHLY-OSCILLATORY DIFFERENTIAL EQUATIONS

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.

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.