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Approximate Hermite quasi-interpolation
Univ Roma La Sapienza, Dept Math, I-00185 Rome, Italy.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
Weierstrass Inst Appl Anal & Stochast, Berlin, Germany.
2008 (English)In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 87, no 7, 805-827 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2008. Vol. 87, no 7, 805-827 p.
Keyword [en]
Hermite quasi-interpolation, multivariate approximation, error estimates, harmonic functions
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-45858DOI: 10.1080/00036810802272658OAI: oai:DiVA.org:liu-45858DiVA: diva2:266754
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2012-01-06

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Maz'ya, V.

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