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.

Download full text files

Export metadata

Additional Services

Search Google Scholar Statistics
Metadaten
Author details:Volker DickenORCiDGND, Peter Maaß
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
Accept ✔
This website uses technically necessary session cookies. By continuing to use the website, you agree to this. You can find our privacy policy here.