Geodesic
Error estimates for external approximation of ordinary differential equations and the superconvergence property
Applications of Mathematics, Tome 33 (1988) no. 4, pp. 277-290.

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A pointwise error estimate and an estimate in norm are obtained for a class of external methods approximating boundary value problems. Dependence of a superconvergence phenomenon on the external approximation method is studied. In this general framework, superconvergence at the knot points for piecewise polynomial external methods is established.
DOI : 10.21136/AM.1988.104309
Classification : 34B05, 65L10
Keywords: superconvergence; external approximation; pointwise error estimate; finite element subspaces; orthogonal projections; ordinary differential operators 
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     title = {Error estimates for external approximation of ordinary differential equations and the superconvergence property},
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Regińska, Teresa. Error estimates for external approximation of ordinary differential equations and the superconvergence property. Applications of Mathematics, Tome 33 (1988) no. 4, pp. 277-290. doi : 10.21136/AM.1988.104309. http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104309/

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