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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Format: | Article |
Language: | English |
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Vilnius Gediminas Technical University
2007-12-01
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Series: | Mathematical Modelling and Analysis |
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Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/7156 |
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author | Gennadi Vainikko Indrek Zolk |
author_facet | Gennadi Vainikko Indrek Zolk |
author_sort | Gennadi Vainikko |
collection | DOAJ |
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 |
first_indexed | 2024-12-22T16:26:20Z |
format | Article |
id | doaj.art-06b12100845647b49fd63aafad125168 |
institution | Directory Open Access Journal |
issn | 1392-6292 1648-3510 |
language | English |
last_indexed | 2024-12-22T16:26:20Z |
publishDate | 2007-12-01 |
publisher | Vilnius Gediminas Technical University |
record_format | Article |
series | Mathematical Modelling and Analysis |
spelling | doaj.art-06b12100845647b49fd63aafad1251682022-12-21T18:20:09ZengVilnius 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, EstoniaA 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 2010https://journals.vgtu.lt/index.php/MMA/article/view/7156fast solversFredholm integral equationcomplexityquasicollocation methodtwo grid iterationssplines |
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 |
title | 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_short | Fast spline quasicollocation solvers of integral equations |
title_sort | fast spline quasicollocation solvers of integral equations |
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 |