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

Producción científica: Article › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	3485-3497
Número de páginas	13
Publicación	Proceedings of the American Mathematical Society
Volumen	149
N.º	8
DOI	https://doi.org/10.1090/proc/15414
Estado	Published - 2021

Nota bibliográfica

Publisher Copyright:
© 2021 American Mathematical Society. All rights reserved.

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Acceder al documento

10.1090/proc/15414

Otros archivos y enlaces

Citar esto

@article{066db8d107df41c4a422e66303dd8b9a,

title = "Interpolation and cubature for rectangular sets of nodes",

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.",

author = "Harris, \{Lawrence A.\} and Brian Simanek",

year = "2021",

doi = "10.1090/proc/15414",

language = "English",

volume = "149",

pages = "3485--3497",

number = "8",

}

TY - JOUR

T1 - Interpolation and cubature for rectangular sets of nodes

AU - Harris, Lawrence A.

AU - Simanek, Brian

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85107694720

UR - https://www.scopus.com/pages/publications/85107694720#tab=citedBy

U2 - 10.1090/proc/15414

DO - 10.1090/proc/15414

M3 - Article

AN - SCOPUS:85107694720

SN - 0002-9939

VL - 149

SP - 3485

EP - 3497

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -

Interpolation and cubature for rectangular sets of nodes

Resumen

Nota bibliográfica

ASJC Scopus subject areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto