Publication Cover
Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 7
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Original Articles

Approximate Hermite quasi-interpolation

, &
Pages 805-827 | Accepted 13 Jun 2008, Published online: 29 Sep 2008
 

Abstract

In this article, 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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