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Error bounds for the Galerkin method applied to singular and nonsingular boundary value problems
Authors:J W Dailey  J G Pierce
Institution:(1) Department of Mathematics, Kent State University, 44242 Kent, Ohio, USA;(2) Department of Mathematics, University of Southern California, 90007 Los Angeles, California, USA
Abstract:Summary The purpose of this article is to obtainL 2 and uniform norm error estimates for the Galerkin approximation of the solution of certain boundary value problems via a comparison with then-norm projection of the solution. In some cases, these estimates constitute an improvement over known results.This research was supported in part by AEC Grant (11-1)-2075.
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