Wavelet Methods — Elliptic Boundary Value Problems and Control Problems:
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Bibliographic Details
Main Author: Kunoth, Angela (Author)
Format: Electronic eBook
Language:English
Published: Wiesbaden Vieweg+Teubner Verlag 2001
Series:Advances in Numerical Mathematics
Subjects:
Online Access:Volltext
Item Description:This research monograph deals with applying recently developed wavelet methods to stationary operator equations involving elliptic differential equations. Particular emphasis is placed on the treatment of the boundary and the boundary conditions. While wavelets have since their discovery mainly been applied to problems in signal analysis and image compression, their analytic power has also been recognized for problems in Numerical Analysis. Together with the functional analytic framework for differential and integral quations, one has been able to conceptually discuss questions which are relevant for the fast numerical solution of such problems: preconditioning, stable discretizations, compression of full matrices, evaluation of difficult norms, and adaptive refinements. The present text focusses on wavelet methods for elliptic boundary value problems and control problems to show the conceptual strengths of wavelet techniques
Physical Description:1 Online-Ressource (X, 141 p)
ISBN:9783322800275
9783519003274
ISSN:1616-2994
DOI:10.1007/978-3-322-80027-5

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