Wavelet-Galerkin methods for ill-posed problems

  • Projection methods based on wavelet functions combine optimal convergence rates with algorithmic efficiency. The proofs in this paper utilize the approximation properties of wavelets and results from the general theory of regularization methods. Moreover, adaptive strategies can be incorporated still leading to optimal convergence rates for the resulting algorithms. The so-called wavelet-vaguelette decompositions enable the realization of especially fast algorithms for certain operators.

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Author:Volker Dicken, Peter Maaß
Series (Serial Number):NLD Preprints (paper 022)
Document Type:Preprint
Date of Publication (online):2007/06/08
Year of Completion:1995
Publishing Institution:Universität Potsdam
Release Date:2007/06/08
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum Dynamik komplexer Systeme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik