Wavelet analysis is a new method called 'numerical microscope'in signal and image
processing. It has the desirable advantages of multi-resolution properties and various basis …

Publisher Summary This chapter explains basic examples of wavelet methods in numerical
analysis. It introduces the approximations and shows show the way they are related to …

Multiresolution analysis and wavelets provide useful and efficient tools for representing
functions at multiple levels of detail. Wavelet representations have been used in a broad …

Theoretically, multiwavelets hold significant advantages over standard wavelets, particularly
for solving more complicated problems, and hence are of great interest. Meeting the needs …

More than anything else, the increase of computing power seems to stimulate the greed for
tackling ever larger problems involving large-scale numerical simulation. As a consequence …

This paper is concerned with the construction of biorthogonal multiresolution analyses on [0,
1] such that the corresponding wavelets realize any desired order of moment conditions …

This paper is concerned with multilevel techniques for preconditioning linear systems arising
from Galerkin methods for elliptic boundary value problems. A general estimate is derived …

This paper describes exact evaluations of various finite integrals whose integrands involve
products of Daubechies' compactly supported wavelets and their derivatives and/or …

Earning tenure at an academic institution and running a steeplechase race successfully
have a lot in common. Both require extensive training before the event begins, both involve …

The origins of wavelets go back to the beginning of the last century and wavelet methods are
by now a well-known tool in image processing (jpeg2000). These functions have, however …