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.
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.
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
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