Geodesic
Superconvergence of external approximation for two-point boundary problems
Applications of Mathematics, Tome 32 (1987) no. 1, pp. 25-36

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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.
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.
DOI : 10.21136/AM.1987.104233
Classification : 35B05, 65L10
Keywords: external approximations; superconvergence; external method; Galerkin method; rate of convergence; two-point boundary value problems 
Regińska, Teresa. Superconvergence of external approximation for two-point boundary problems. Applications of Mathematics, Tome 32 (1987) no. 1, pp. 25-36. doi: 10.21136/AM.1987.104233
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