Numerical cubature and hyperinterpolation over Spherical Polygons

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Autore principale:	Sommariva, Alvise
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Numerical Analysis
Accesso online:	Acceder al recurso
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author	Sommariva, Alvise
author_facet	Sommariva, Alvise
contents	The purpose of this work is to introduce a strategy for determining the nodes and weights of a low-cardinality positive cubature formula nearly exact for polynomials of a given degree over spherical polygons. In the numerical section we report the results about numerical cubature over a spherical polygon $\cal P$ approximating Australia and reconstruction of functions over such $\cal P$, also affected by perturbations, via hyperinterpolation and some of its variants. The open-source Matlab software used in the numerical tests is available at the author's homepage.
format	Preprint
id	arxiv_https___arxiv_org_abs_2403_05733
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Numerical cubature and hyperinterpolation over Spherical Polygons Sommariva, Alvise Numerical Analysis The purpose of this work is to introduce a strategy for determining the nodes and weights of a low-cardinality positive cubature formula nearly exact for polynomials of a given degree over spherical polygons. In the numerical section we report the results about numerical cubature over a spherical polygon $\cal P$ approximating Australia and reconstruction of functions over such $\cal P$, also affected by perturbations, via hyperinterpolation and some of its variants. The open-source Matlab software used in the numerical tests is available at the author's homepage.
title	Numerical cubature and hyperinterpolation over Spherical Polygons
topic	Numerical Analysis
url	https://arxiv.org/abs/2403.05733

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