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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Wavelet Methods — Elliptic Boundary Value Problems and Control Problems
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Wavelet Methods — Elliptic Boundary Value Problems and Control Problems
Angela Kunoth (Taschenbuch, Englisch)
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Beschreibung
While wavelets have since their discovery mainly been applied to problems in signal analysis and image compression, their analytic power has more and more also been recognized for problems in Numerical Analysis. Together with the functional analytic framework for different differential and integral quations, one has been able to conceptu ally discuss questions which are relevant for the fast… numerical solution of such problems: preconditioning issues, derivation of stable discretizations, compression of fully popu lated matrices, evaluation of non-integer or negative norms, and adaptive refinements based on A-posteriori error estimators. This research monograph focusses on applying wavelet methods to elliptic differential equations. Particular emphasis is placed on the treatment of the boundary and the boundary conditions. Moreover, a control problem with an elliptic boundary problem as contraint serves as an example to show the conceptual strengths of wavelet techniques for some of the above mentioned issues. At this point, I would like to express my gratitude to several people before and during the process of writing this monograph. Most of all, I wish to thank Prof. Dr. Wolfgang Dahmen to whom I personally owe very much and with whom I have co-authored a large part of my work. He is responsible for the very stimulating and challenging scientific atmosphere at the Institut fiir Geometrie und Praktische Mathematik, RWTH Aachen. We also had an enjoyable collaboration with Prof. Dr. Reinhold Schneider from the Technical University of Chemnitz. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.04.2001
Sprache
Englisch
EAN
9783519003274
Herausgeber
Vieweg & Teubner
Serien- oder Bandtitel
Advances in Numerical Mathematics
Sonderedition
Nein
Autor
Angela Kunoth
Seitenanzahl
141
Einbandart
Taschenbuch
Autorenporträt
Prof. Dr. Angela Kunoth, Universität Bonn
Schlagwörter
Advances in Numerical Mathematics, Boundary, Boundary value problem, Control Problems, LBB Condition, Methods, Multiscale Decomposition, Numerical Mathematics, Value, Wavelets, signal analysis
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBK - Mathematische Analysis, allgemein
PBW - Angewandte Mathematik
Höhe
229 mm
Breite
16.2 cm
Hersteller: De Gruyter Saur, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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