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Approximation of Additive Convolution-Like Operators

Real C*-algebra Approach

Approximation of Additive Convolution-Like Operators
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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.
Springer; September 2008
315 pages; ISBN 9783764387518
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