Approximation of Additive Convolution-Like Operators: Real C*-Algebra Approach (Frontiers in Mathematics) 2008th Edition by Victor Didenko (PDF)

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    Ebook Info

    • Published: 2008
    • Number of pages: 318 pages
    • Format: PDF
    • File Size: 12.26 MB
    • Authors: Victor Didenko

    Description

    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.

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