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One dimensional collocation at Gaussian points and superconvergence at interior nodal points

Authors: Papini, Alessandra;

One dimensional collocation at Gaussian points and superconvergence at interior nodal points

Abstract

The author develops a normal extension method of superconvergence at interior nodal points which was recently pointed out by \textit{M. Bakker} [SIAM J. Numer. Anal. 21, 101-110 (1984; Zbl 0571.65078)]. The already known results in case of two-point boundary value problems are proved in a more general way using general boundary conditions.

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Italy
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Keywords

Numerical solution of boundary value problems involving ordinary differential equations, two-point boundary value problems, superconvergence, collocation, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Linear boundary value problems for ordinary differential equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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