基于Haar小波多分辨率分析的计算方法

A calculation method based on analysing Haar wavelet multiresolution

目的讨论分析一种基于小波多分辨率分析(MRA)的多尺度数值计算方法。方法通过理论分析和数值模拟相结合的方法。结果该方法在保持计算精度的同时大大提高了计算效率。结论文中的方法是一种高效、典型的多尺度数值算法。

Aim A kind of wavelet-based multi-scale method was proposed for parabolic equations with small periodic coefficients.Methods The analytical and numerical simulation methods were used.Results The numerical results show that the proposed method is better than the finite difference method,not only keeping in accuracy but also improving calculation.Conclusion Wavelet-based multi-scale method is a high efficient and typical method.