Hyper2d: A numerical code for hyperinterpolation on rectangles

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摘要

Hyperinterpolation at Morrow–Patterson–Xu cubature points for the product Chebyshev measure provides a simple and powerful polynomial approximation method on rectangles. Here, we present an accurate and efficient Matlab/Octave implementation of the hyperinterpolation formula, accompanied by several numerical tests.

论文关键词：Bivariate hyperinterpolation,Minimal cubature,Morrow–Patterson–Xu points,Lebesgue constant

论文评审过程：Available online 31 July 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2006.05.129