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Keywords:
external approximations; superconvergence; external method; Galerkin method; rate of convergence; two-point boundary value problems
external approximations; superconvergence; external method; Galerkin method; rate of convergence; two-point boundary value problems
Summary:
The superconvergence property of a certain external method for solving two point boundary value problems is established. In the case when piecewise polynomial spaces are applied, it is proved that the convergence rate of the approximate solution at the knot points can exceed the global one.
References:
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