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Fast spline quasicollocation solvers of integral equations

    Gennadi Vainikko Affiliation
    ; Indrek Zolk Affiliation

Abstract

A fast (CCm) solver for linear Fredholm integral equations u = Tu+f with smooth data is constructed on the basis of a discrete version of the spline quasicollocation method. By a fast (C,Cm) solver we mean a discrete method that meets the optimal accuracy for f ∈ Cm with minimal arithmetic work.


First Published Online: 14 Oct 2010

Keyword : fast solvers, Fredholm integral equation, complexity, quasicollocation method, two grid iterations, splines, interpolation, quasi‐interpolation

How to Cite
Vainikko, G., & Zolk, I. (2007). Fast spline quasicollocation solvers of integral equations. Mathematical Modelling and Analysis, 12(4), 515-538. https://doi.org/10.3846/1392-6292.2007.12.515-538
Published in Issue
Dec 31, 2007
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