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.
Approximate Hermite quasi-interpolation / Lanzara, Flavia; V., Maz'Ya; G., Schmidt. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - STAMPA. - 87:7(2008), pp. 805-827. [10.1080/00036810802272658]
Approximate Hermite quasi-interpolation
LANZARA, Flavia;
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.File allegati a questo prodotto
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