Didenko, Victor D.

Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach / by Victor D. Didenko, Bernd Silbermann. - recurso en línea. - Frontiers in Mathematics, 1660-8046 .

Springer eBooks

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.

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.

9783764387518

10.1007/9783764387518 doi

QA329-329.9