Approximation Of Additive Convolution-Like Operators

Didenko, Victor; Silbermann, Bernd

ISBN 10: 3764387505 / ISBN 13: 9783764387501

Editore: Birkhäuser, 2008

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Titolo: Approximation Of Additive Convolution-Like ...

Casa editrice: Birkhäuser

Data di pubblicazione: 2008

Legatura: Brossura

Condizione: 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.