Two‐grid iteration method for weakly singular integral equations
For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems. In the present paper a two‐grid iteration method for solving such systems is constructed and the convergence of this method is investigated. Silpna...
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Vilnius Gediminas Technical University
2000-12-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9938 |
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doaj-39ac083cc4c741c3a02851e23c1e1d712021-07-02T16:49:25ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102000-12-015110.3846/13926292.2000.9637130Two‐grid iteration method for weakly singular integral equationsK. Hakk0Institute of Applied Mathematics , University of Tartu , J. Liivi 2, Tartu, 50409, Estonia For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems. In the present paper a two‐grid iteration method for solving such systems is constructed and the convergence of this method is investigated. Silpnai singuliarų integralinių lygčių sprendimas dvitinkliu iteraciniu metodu Santrauka Sprendžiant silpnai singuliarias integralines lygtis gabalais polinominiu kolokaciju metodu tenka spresti dideles dimensijos tiesiniu lygčiu sistemas. Šiame darbe tokios sistemos sprendžiamos dvitinkliu iteraciniu metodu. Ištirtas iteracinio metodo konvergavimas, gauti konvergavimo greičio iverčiai. First Published Online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/9938- |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
K. Hakk |
| spellingShingle |
K. Hakk Two‐grid iteration method for weakly singular integral equations Mathematical Modelling and Analysis - |
| author_facet |
K. Hakk |
| author_sort |
K. Hakk |
| title |
Two‐grid iteration method for weakly singular integral equations |
| title_short |
Two‐grid iteration method for weakly singular integral equations |
| title_full |
Two‐grid iteration method for weakly singular integral equations |
| title_fullStr |
Two‐grid iteration method for weakly singular integral equations |
| title_full_unstemmed |
Two‐grid iteration method for weakly singular integral equations |
| title_sort |
two‐grid iteration method for weakly singular integral equations |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2000-12-01 |
| description |
For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems. In the present paper a two‐grid iteration method for solving such systems is constructed and the convergence of this method is investigated.
Silpnai singuliarų integralinių lygčių sprendimas dvitinkliu iteraciniu metodu
Santrauka
Sprendžiant silpnai singuliarias integralines lygtis gabalais polinominiu kolokaciju metodu tenka spresti dideles dimensijos tiesiniu lygčiu sistemas. Šiame darbe tokios sistemos sprendžiamos dvitinkliu iteraciniu metodu. Ištirtas iteracinio metodo konvergavimas, gauti konvergavimo greičio iverčiai.
First Published Online: 14 Oct 2010
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https://journals.vgtu.lt/index.php/MMA/article/view/9938 |
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AT khakk twogriditerationmethodforweaklysingularintegralequations |
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