On the wavelet based differentiation matrix
The Daubechies wavelet based differentiation matrix is constructed for periodic boundary conditions. It is proved that this matrix displays the very important property of superconvergence. Under the assumption of periodicity the author proves that the action of a differentiation matrix is equivalent to a finite difference operator with order of accuracy dependent on the chosen wavelet.
Daubechies wavelet based differentiation matrix
scientific article; zbMATH DE number 473051
scientific article