Polynomial interpolation at points of a geometric mesh on a triangle
- 1 January 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 108 (1-2) , 75-87
- https://doi.org/10.1017/s0308210500026536
Abstract
Synopsis: In 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.This publication has 7 references indexed in Scilit:
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