Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions
type: Item
instance of: scholarly article
title: Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions
zbMATH Open document ID: 0966.65015
DOI: 10.1016/S0377-0427(00)00371-X
author: J. M. Carnicer
author: M. Gasca
published in: Journal of Computational and Applied Mathematics
publication date: 2001-08-01T00:00:00Z
review text: The authors consider an enlarged interpolation problem by bivariate polynomials on a Newton basis. It consists to add some asymptotic conditions to the usual interpolation conditions; these are conditions on the values of the polynomials and on their directional derivatives at prescribed points. The interpolation formula is obtained and illustrated by some particular cases.
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 1491249
zbMATH Keywords: bivariate Hermite-Birkhoff polynomial interpolation
zbMATH Keywords: bivariate splines
zbMATH Keywords: asymptotic conditions
MaRDI profile type: Publication
cites work: Q5288949
cites work: Q4257492
cites work: Q3978905
cites work: On Lagrange and Hermite interpolation in \(R^ k\).
cites work: Interpolation systems in \(R^ k\)
cites work: Multivariate polynomial interpolation to traces on manifolds
full work available at URL: s0377-0427(00)00371-x
OpenAlex ID: W1970385727
Wikidata QID: Q127015263
description: scientific article; zbMATH DE number 1491249