Didenko / Silbermann Approximation of Additive Convolution-Like Operators
2008
ISBN: 978-3-7643-8751-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Real C*-Algebra Approach
E-Book, Englisch, 306 Seiten, eBook
Reihe: Frontiers in Mathematics
ISBN: 978-3-7643-8751-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
