HYPER2D: a numerical code for hyperinterpolation at Xu points on rectangles

Marco Caliari; Marco Vianello; Stefano De Marchi; Roberto Montagna

doi:10.1016/j.amc.2006.05.129

HYPER2D: a numerical code for hyperinterpolation at Xu points on rectangles

Marco Caliari
, Marco Vianello
, Stefano De Marchi
, Roberto Montagna

School of Computing Sciences

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1138-1147
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	183
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.05.129
Publication status	Published - Dec 2006

Access to Document

10.1016/j.amc.2006.05.129

Cite this

@article{2a798219422d4d418898e4931e7271d0,

title = "HYPER2D: a numerical code for hyperinterpolation at Xu points on rectangles",

abstract = "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.",

author = "Marco Caliari and Marco Vianello and \{De Marchi\}, Stefano and Roberto Montagna",

year = "2006",

month = dec,

doi = "10.1016/j.amc.2006.05.129",

language = "English",

volume = "183",

pages = "1138--1147",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - HYPER2D: a numerical code for hyperinterpolation at Xu points on rectangles

AU - Caliari, Marco

AU - Vianello, Marco

AU - De Marchi, Stefano

AU - Montagna, Roberto

PY - 2006/12

Y1 - 2006/12

N2 - 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.

AB - 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.

U2 - 10.1016/j.amc.2006.05.129

DO - 10.1016/j.amc.2006.05.129

M3 - Article

SN - 0096-3003

VL - 183

SP - 1138

EP - 1147

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -