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The iterated Galerkin method for linear integro-differential equations. (English) Zbl 0646.65095
The iterated Galerkin method is applied to the approximate solution of linear integro-differential equations. The author gets results similar to those of I. H. Sloan [Treatment of integral equations by numerical methods, Proc. Symp., Durham 1982, 197-207 (1982; Zbl 0502.65076)], which studied the superconvergence for the approximate solution of integral equations of the second kind. Two approaches are presented to obtain superconvergence for the first iterates of the Galerkin procedure in the spaces \(W_ 2^ m\) and \(C^ m\).
Reviewer: L.Hącia

MSC:
65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
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