Numerical hyperinterpolation over nonstandard planar regions

Alvise Sommariva and Marco Vianello

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 141, issue C, 110-120

Abstract: We discuss an algorithm (implemented in Matlab) that computes numerically total-degree bivariate orthogonal polynomials (OPs) given an algebraic cubature formula with positive weights, and constructs the orthogonal projection (hyperinterpolation) of a function sampled at the cubature nodes. The method is applicable to nonstandard regions where OPs are not known analytically, for example convex and concave polygons, or circular sections such as sectors, lenses and lunes.

Keywords: Multivariate orthogonal polynomials; Positive cubature; Hyperinterpolation; Nonstandard planar regions (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:141:y:2017:i:c:p:110-120

DOI: 10.1016/j.matcom.2016.07.009

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