Two‐grid iteration method for weakly singular integral equations
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 polinominių kolokacijų metodu tenka spręsti didelės dimensijos tiesinių lygčių sistemas. Šiame darbe tokios sistemos sprendžiamos dvitinkliu iteraciniu metodu. Ištirtas iteracinio metodo konvergavimas, gauti konvergavimo greičio įverčiai.
First Published Online: 14 Oct 2010
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Copyright (c) 2000 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2000 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.