Polynomial interpolation at points of a geometric mesh on a triangle-Reference-Cited by-同舟云学术

Polynomial interpolation at points of a geometric mesh on a triangle

Published:1988 Issue:1-2 Volume:108 Page:75-87
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Lee S. L.,Phillips G. M.

Abstract

SynopsisIn an earlier paper [8], I. J. Schoenberg discussed polynomial interpolation in one dimension at the points of a geometric progression, which was originally proposed by James Stirling. In the present paper, these ideas are generalised to two-dimensional polynomial interpolation at the points of a geometric mesh on a triangle. A Lagrange form is obtained for this interpolating polynomial and an algorithm is derived for evaluating it efficiently.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Interpolation on the triangle

2. Bounding the Lebesgue function for Lagrange interpolation in a simplex

3. Two formulas for the general multivariate polynomial which interpolates a regular grid on a simplex

4. Uber eine numerische Berechnung der Argumente der cyclischen, hyperbolischen und logarithmischen Funktionen;Runge;Ada Math.,1891

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