Approximation of additive convolution-like operators: real C*-algebra approach
Didenko, V.
Silbermann, B.
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 themethods considered includes spline Galerkin, spline collocation, qualocation,and quadrature methods. Based on algebraic techniques First book entirely devoted to numerical analysis for additive operators Covers various aspects of approximation methods for equations with conjugation arising in the boundary integral equation method First book to present systematic study of approximation methods for the Muskhelishvili equation Self-contained and accessible to graduate students INDICE: Preface.- 1. Complex and Real Algebras.- 2. Integral Operators. Smooth Curves.- 3. Riemann-Hilbert Problem.- 4. Piecewise Smooth and Open Contours.- 5. Muskhelishvili Equation.- 6. Numerical Examples.- Bibliography.
- ISBN: 978-3-7643-8750-1
- Editorial: Birkhaüser
- Encuadernacion: Rústica
- Páginas: 400
- Fecha Publicación: 01/07/2008
- Nº Volúmenes: 1
- Idioma: Inglés