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Two‐grid iteration method for weakly singular integral equations

    K. Hakk Affiliation

Abstract

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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How to Cite
Hakk, K. (2000). Two‐grid iteration method for weakly singular integral equations. Mathematical Modelling and Analysis, 5(1), 76-85. https://doi.org/10.3846/13926292.2000.9637130
Published in Issue
Dec 15, 2000
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