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Polynomial interpolation at points of a geometric mesh on a triangle

Published online by Cambridge University Press:  14 November 2011

S. L. Lee  and
G. M. Phillips
S. L. Lee
Affiliation:
School of Mathematical Sciences, University of Science of Malaysia, Penang, Malaysia 11800
G. M. Phillips
Affiliation:
Mathematical Institute, University of St Andrews, St Andrews, KY16 9SS, Scotland, U.K.
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 1-2 , 1988 , pp. 75 - 87
Copyright
Copyright © Royal Society of Edinburgh 1988

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References

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