Didenko / Silbermann Approximation of Additive Convolution-Like Operators

Real C*-Algebra Approach
1. Auflage 2008
ISBN: 978-3-7643-8751-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 306 Seiten, Web PDF

Reihe: Mathematics and Statistics (R0)

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. It is the first book to present systematic study of approximation methods for the Muskhelishvili equation, and the first book entirely devoted to numerical analysis for additive operators. 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.

Zielgruppe

Research

Autoren/Hrsg.

Didenko, Victor

Silbermann, Bernd

Inhaltsverzeichnis

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.