Approximation of Additive Convolution-Like Operators
Autor: | Victor Didenko, Bernd Silbermann |
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EAN: | 9783764387518 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 19.09.2008 |
Untertitel: | Real C*-Algebra Approach |
Kategorie: | |
Schlagworte: | Algebra C* algebra Muskhelishvili equation Riemann-Hilbert problem convolution convolution operator numerical analysis |
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This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with conjugation, the Riemann-Hilbert problem, Mellin operators with conjugation, double layer potential equation, and the Muskhelishvili equation. The authors propose a unified approach to the analysis of the approximation methods under consideration based on special real extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline collocation, qualocation, and quadrature methods. The book is self-contained and accessible to graduate students.