Approximation of Additive Convolution-Like Operators: Real C* -Algebra Approach

Didenko, Victor D./ Silbermann, Bernd

ISBN 10: 3764387505 / ISBN 13: 9783764387501

Editore: Birkhauser, 2008

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1st edition. 306 pages. 9.25x6.75x0.75 inches. In Stock. Codice articolo x-3764387505

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Titolo: Approximation of Additive Convolution-Like ...

Casa editrice: Birkhauser

Data di pubblicazione: 2008

Legatura: Paperback

Condizione: Brand New

Descrizione articolo

Riassunto:

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.

Contenuti:

Complex and Real Algebras.- Approximation of Additive Integral Operators on Smooth Curves.- Approximation Methods for the Riemann-Hilbert Problem.- Piecewise Smooth and Open Contours.- Approximation Methods for the Muskhelishvili Equation.- Numerical Examples.