Approximate Hermite quasi-interpolation

Details Approximate Hermite quasi-interpolation Approximate Hermite quasi-interpolation

2008-06-16

arxiv.org/abs/0806.2546v1

Mathematics

Numerical Analysis

Scientific paper

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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