Adaptive Wavelet and Frame Schemes for Elliptic and Parabolic Equations

Adaptive Wavelet and Frame Schemes for Elliptic and Parabolic Equations

This thesis is concerned with the application of wavelet methods to the adaptive numerical solution of elliptic and parabolic operator equations over a polygonal domain. Driven by the insight that the construction of wavelet bases on more general domains is complicated and may pose stability proble...

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Bibliografische gegevens
Hoofdauteur: Raasch, Thorsten
Andere auteurs: Dahlke, Stephan (Prof. Dr.) (Thesis begeleider)
Formaat: Dissertation
Taal:Engels
Gepubliceerd in: Philipps-Universität Marburg 2007
Onderwerpen:
Adaptives Verfahren
Frames
Wavelets
Adaptive methods
Mathematik
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Parabolisches Randwertproblem
Numerische Mathematik
Wavelet-Analyse
Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions
Elliptisches Randwertproblem
Parabolic problem
Stability and convergence of numerical methods
Complexity and performance of numerical algorithms
Elliptic problem
Mathematics
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