Abstract
Galerkin's method applied to compact operator equations often exhibits superconvergence. In this paper we present a unified framework for an error analysis which deals with the Galerkin and discrete Galerkin methods for equations of the second kind and the eigenvalue problem. An advantage of this framework is that the quadrature errors in the discrete Galerkin method can easily be dealt with. We apply our results to the case of integral equations and spline approximation.
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