Victor Didenko, Bernd Silbermann

Approximation of Additive Convolution-Like Operators (eBook, PDF)

Real C*-Algebra Approach

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Basel
• Seitenzahl: 306
• Erscheinungstermin: 19. September 2008
• Englisch
• ISBN-13: 9783764387518
• Artikelnr.: 44131998

Inhaltsangabe

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.