Interpolation and cubature for rectangular sets of nodes

Lawrence A. Harris; Brian Simanek

doi:10.1090/proc/15414

Interpolation and cubature for rectangular sets of nodes

Lawrence A. Harris, Brian Simanek

Mathematics

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

3 Scopus citations

Abstract

This article obtains specific formulas for Lagrange polynomials for rectangular versions of the even and the odd product nodes in R². These polynomials are applied to obtain an exact cubature formula for bivariate polynomials when the number of rows of the nodes exceeds the number of columns by one.

Original language	English
Pages (from-to)	3485-3497
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	8
DOIs	https://doi.org/10.1090/proc/15414
State	Published - 2021

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© 2021 American Mathematical Society. All rights reserved.

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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abstract = "This article obtains specific formulas for Lagrange polynomials for rectangular versions of the even and the odd product nodes in R2. These polynomials are applied to obtain an exact cubature formula for bivariate polynomials when the number of rows of the nodes exceeds the number of columns by one.",

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AU - Simanek, Brian

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Interpolation and cubature for rectangular sets of nodes

Abstract

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