Polynomial interpolation in several variables
type: Item
instance of: scholarly article
title: Polynomial interpolation in several variables
zbMATH Open document ID: 0943.41001
DOI: 10.1023/A:1018981505752
author: Tomas Sauer
author: M. Gasca
published in: Advances in Computational Mathematics
publication date: 2000-03-21T00:00:00Z
review text: A survey is presented on multivariate polynomial interpolation, especially those which lead to the construction of the data points which allow unique interpolation for given interpolation spaces. Construction of sets of interpolation points, interpolation by tensor product, obtaining an interpolation space from regular grids, chosing nodes and space, and the construction of an interpolation space was described. Remainder formulas for polynomial interpolation give an explicit representation for the interpolation error. Multipoint Taylor expansions, Ciarlet's formula, Newton approach and its formula, Kergin interpolation, and the connection between polynomial interpolation and polynomial ideals were included. 115 references are given.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 1419515
zbMATH Keywords: interpolation
zbMATH Keywords: multivariate polynomials
zbMATH Keywords: Newton approach
zbMATH Keywords: divided differences
zbMATH Keywords: Gröbner bases
zbMATH Keywords: H-bases
MaRDI profile type: Publication
full work available at URL: a:1018981505752
OpenAlex ID: W2264065105
description: scientific article; zbMATH DE number 1419515