Adaptive Wavelet Methods for Inverse Problems: Acceleration Strategies, Adaptive Rothe Method and Generalized Tensor Wavelets

Adaptive Wavelet Methods for Inverse Problems: Acceleration Strategies, Adaptive Rothe Method and Generalized Tensor Wavelets

In general, inverse problems can be described as the task of inferring conclusions about the cause u from given observations y of its effect. This can be described as the inversion of an operator equation K(u) = y, which is assumed to be ill-posed or ill-conditioned. To arrive at a meaningful soluti...

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Bibliographische Detailangaben
1. Verfasser: Friedrich, Ulrich
Beteiligte: Dahlke, Stephan (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprache:Englisch
Veröffentlicht: Philipps-Universität Marburg 2014
Schlagworte:
Mathematik
Nonlinear ill-posed problems
Inverse Problems
Wavelet
Rate of convergence, degree of approximation
Stability and convergence of numerical methods
adaptive Rothe Methode
adaptive Rothe Method
adaptive wavelet schemes
adaptive wavelet Verfahren
Tensor Wavelets
Abstract parabolic evolution equations
Wavelets
iterative thresholding
Tensor wavelets
Inverse Probleme
Mathematics
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Signatur: urn:nbn:de:hebis:04-z2015-03763
Publikationsdatum: 2015-09-03
Datum der Annahme: 2015-04-23
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Lizenz: https://rightsstatements.org/vocab/InC-NC/1.0/
Zugangs-URL: https://archiv.ub.uni-marburg.de/diss/z2015/0376
https://doi.org/10.17192/z2015.0376

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