Fast spline quasicollocation solvers of integral equations

Fast spline quasicollocation solvers of integral equations

A fast (C, Cm) 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....

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Bibliographic Details
Main Authors: Gennadi Vainikko, Indrek Zolk
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2007-12-01
Series:Mathematical Modelling and Analysis
Subjects:
fast solvers
Fredholm integral equation
complexity
quasicollocation method
two grid iterations
splines
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/7156
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spelling doaj-06b12100845647b49fd63aafad1251682021-07-02T09:50:32ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102007-12-0112410.3846/1392-6292.2007.12.515-538Fast spline quasicollocation solvers of integral equationsGennadi Vainikko0Indrek Zolk1Institute of Mathematics, University of Tartu, J. Liivi 2, Tartu, 50409, EstoniaInstitute of Mathematics, University of Tartu, J. Liivi 2, Tartu, 50409, Estonia A fast (C, Cm) 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 https://journals.vgtu.lt/index.php/MMA/article/view/7156fast solversFredholm integral equationcomplexityquasicollocation methodtwo grid iterationssplines
collection DOAJ
language English
format Article
sources DOAJ
author Gennadi Vainikko
Indrek Zolk
spellingShingle Gennadi Vainikko
Indrek Zolk
Fast spline quasicollocation solvers of integral equations
Mathematical Modelling and Analysis
fast solvers
Fredholm integral equation
complexity
quasicollocation method
two grid iterations
splines
author_facet Gennadi Vainikko
Indrek Zolk
author_sort Gennadi Vainikko
title Fast spline quasicollocation solvers of integral equations
title_short Fast spline quasicollocation solvers of integral equations
title_full Fast spline quasicollocation solvers of integral equations
title_fullStr Fast spline quasicollocation solvers of integral equations
title_full_unstemmed Fast spline quasicollocation solvers of integral equations
title_sort fast spline quasicollocation solvers of integral equations
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2007-12-01
description A fast (C, Cm) 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
topic fast solvers
Fredholm integral equation
complexity
quasicollocation method
two grid iterations
splines
url https://journals.vgtu.lt/index.php/MMA/article/view/7156
work_keys_str_mv AT gennadivainikko fastsplinequasicollocationsolversofintegralequations
AT indrekzolk fastsplinequasicollocationsolversofintegralequations
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