TY  - INPR
A1  - Dicken, Volker
A1  - Maaß, Peter
T1  - Wavelet-Galerkin methods for ill-posed problems
N2  - 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.
T3  - NLD Preprints - 22 
Y1  - 2007
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/1264
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-13890
ER  -