论文信息 - On the wavelet based differentiation matrix

On the wavelet based differentiation matrix

The Daubechies wavelet based differentiation matrix will be constructed for periodic boundary conditions. It will be proved that this matrix displays the very important property of superconvergence. The relationship between Daubechies-based numerical methods and finite difference methods will be seen.

Leland Jameson | L. Jameson

[1] D. Esteban,et al. Application of quadrature mirror filters to split band voice coding schemes , 1977 .

[2] G. Beylkin. On the representation of operators in bases of compactly supported wavelets , 1992 .

[3] Stéphane Mallat,et al. A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[4] G. Fairweather. Finite Element Galerkin Methods for Differential Equations , 1978 .

[5] I. Daubechies. Orthonormal bases of compactly supported wavelets , 1988 .

[6] R. Coifman,et al. Fast wavelet transforms and numerical algorithms I , 1991 .

[7] Gilbert Strang,et al. Wavelets and Dilation Equations: A Brief Introduction , 1989, SIAM Rev..

[8] Gilbert Strang,et al. Introduction to applied mathematics , 1988 .

[9] S. Mallat. Multiresolution approximations and wavelet orthonormal bases of L^2(R) , 1989 .