Abstract:
Recently, Nair proposed a modification for the projection (Galerkin) method for the approximate solution of second kind integral equations and established conditions under which it was superconvergent (relative to the corresponding projection approximation). Its advantage over other superconvergent methods for such equations is its simplicity of implementation in requiring virtually no more computation than that implicit in the determination of the corresponding projection approximation. In this paper, we propose two variants of Nair's modification and establish conditions under which they are superconvergent.
