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.
Author details: | Volker DickenORCiDGND, Peter Maaß |
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URN: | urn:nbn:de:kobv:517-opus-13890 |
Publication series (Volume number): | NLD Preprints (22) |
Publication type: | Preprint |
Language: | English |
Publication year: | 1995 |
Publishing institution: | Universität Potsdam |
Release date: | 2007/06/08 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme | |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |