On some bivariate Hermite type interpolation and numerical integration formulae

On some bivariate Hermite type interpolation and numerical integration formulae

In this paper we present a bivariate interpolation formula using four multiple nodes and then the corresponding numerical integration formula for a double integral extended over a rectangular domain. The cubature formula (3.1) represents an extension to two variables of the Hermite quadrature formul...

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Veröffentlicht in:Carpathian Journal of Mathematics 2003-01, Vol.19 (1), p.73-80
Hauptverfasser: TAŞCU, IOANA, Taşcu, Joana
Format: Artikel
Sprache:eng
Schlagworte:
Interpolation
Mathematics
Numerical integration
Numerical quadratures
Remainders
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Zusammenfassung:In this paper we present a bivariate interpolation formula using four multiple nodes and then the corresponding numerical integration formula for a double integral extended over a rectangular domain. The cubature formula (3.1) represents an extension to two variables of the Hermite quadrature formula (1.1). At (4.1) we give an integral representation for the remainder of this cubature formula.
ISSN:1584-2851
1843-4401