Approximate Hermite quasi-interpolation

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Lanzara, Flavia
Maz'ya, Vladimir
Schmidt, Gunther

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Cambridge : arXiv

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Abstract

In this paper we derive approximate quasi-interpolants when the values of a function u and of some of its derivatives are prescribed at the points of a uniform grid. As a byproduct of these formulas we obtain very simple approximants which provide high order approximations for solutions to elliptic differential equations with constant coefficients.

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