Approximation of Additive Convolution-Like Operators (eBook)

Real C*-Algebra Approach

Victor Didenko, Bernd Silbermann (Autoren)

eBook Download: PDF

2008 | 2008
XII, 306 Seiten
Springer Basel (Verlag)
978-3-7643-8751-8 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 19.9.2008
• Reihe/Serie: Frontiers in Mathematics
• Reihe/Serie: Frontiers in Mathematics
• Zusatzinfo: XII, 306 p.
• Verlagsort: Basel
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: Algebra • C* Algebra • convolution • convolution operator • Muskhelishvili equation • Numerical analysis • Partial differential equations • Riemann-Hilbert problem
• ISBN-10: 3-7643-8751-3 / 3764387513
• ISBN-13: 978-3-7643-8751-8 / 9783764387518