Bivariate Lagrange interpolation at the Padua points: the ideal theory approach
Numerical Analysis
2007-05-23 v1 Classical Analysis and ODEs
Abstract
Padua points is a family of points on the square given by explicit formulas that admits unique Lagrange interpolation by bivariate polynomials. The interpolation polynomials and cubature formulas based on the Padua points are studied from an ideal theoretic point of view, which leads to the discovery of a compact formula for the interpolation polynomials. The convergence of the interpolation polynomials is also studied.
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Cite
@article{arxiv.math/0604604,
title = {Bivariate Lagrange interpolation at the Padua points: the ideal theory approach},
author = {Len Bos and Stefano De Marchi and Marco Vianello and Yuan Xu},
journal= {arXiv preprint arXiv:math/0604604},
year = {2007}
}
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11 pages