Approximation of Additive Convolution-Like Operators: Real C*-Algebra Approach (repost)
Approximation of Additive Convolution-Like Operators: Real C*-Algebra Approach (Frontiers in Mathematics) by Victor Didenko and Bernd Silbermann
English | 2008-06-23 | ISBN: 3764387505 | PDF | 318 pages | 3 MB
English | 2008-06-23 | ISBN: 3764387505 | PDF | 318 pages | 3 MB
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.