Wavelet Methods - Elliptic Boundary Value Problems and Control Problems / Advances in Numerical Mathematics (PDF)
(Sprache: Englisch)
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.
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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.
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.
Autoren-Porträt von Angela Kunoth
Prof. Dr. Angela Kunoth, Universität Bonn
Bibliographische Angaben
- Autor: Angela Kunoth
- 2012, 2001, 141 Seiten, Englisch
- Verlag: Vieweg+Teubner Verlag
- ISBN-10: 332280027X
- ISBN-13: 9783322800275
- Erscheinungsdatum: 06.12.2012
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 18 MB
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Englisch
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