By A. Cohen
This booklet deals a self-contained remedy of wavelets, which include this theoretical pillar and it purposes to the numerical therapy of partial differential equations. Its key good points are:
1. Self-contained advent to wavelet bases and comparable numerical algorithms, from the best examples to the main numerically beneficial basic constructions.
2. complete therapy of the theoretical foundations which are the most important for the analysis
of wavelets and different similar multiscale tools : functionality areas, linear and nonlinear approximation, interpolation theory.
3. functions of those thoughts to the numerical remedy of partial differential equations : multilevel preconditioning, sparse approximations of differential and indispensable operators, adaptive discretization strategies.
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