Approximation of Additive Convolution-Like Operators
Author | : Victor Didenko |
Publisher | : Springer Science & Business Media |
Total Pages | : 313 |
Release | : 2008-09-19 |
ISBN-10 | : 9783764387518 |
ISBN-13 | : 3764387513 |
Rating | : 4/5 (513 Downloads) |
Download or read book Approximation of Additive Convolution-Like Operators written by Victor Didenko and published by Springer Science & Business Media. This book was released on 2008-09-19 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.