Optimal Points for Cubature Rules and Polynomial Interpolation on a Square
Numerical Analysis
2017-09-05 v1 Classical Analysis and ODEs
Abstract
The nodes of certain minimal cubature rule are real common zeros of a set of orthogonal polynomials of degree . They often consist of a well distributed set of points and interpolation polynomials based on them have desired convergence behavior. We report what is known and the theory behind by explaining the situation when the domain of integrals is a square.
Keywords
Cite
@article{arxiv.1709.00651,
title = {Optimal Points for Cubature Rules and Polynomial Interpolation on a Square},
author = {Yuan Xu},
journal= {arXiv preprint arXiv:1709.00651},
year = {2017}
}
Comments
to appear in Festschrift for the 80th Birthday of Ian Sloan