中文摘要：

通过加入解的逐层修正过程完成了对常规小波多尺度方法的改进,并将改进后的方法应用于具有快速周期变化系数的一维椭圆型方程的数值求解。数值结果表明：与传统的有限差分法相比,改进的小波多尺度方法既保持了较高的计算精度,又大大减少了计算时间;与常规的小波多尺度方法相比,改进的小波多尺度方法则进一步提高了计算精度。

英文摘要：

A improved wavelet-based homogenization method is achieved by using successive correction procedure.And the improved method is applied with the onedeensional elliptic equations with highly coscillating coefficients.With the traditional finite difference method,numerical results show that the improved wavelet-based method keep better accuracy and efficiency.Compared with the wavelet-based homogenization methods,the improved wavelet-based method further improves the calculation accuracy.