A note on classical Gauss-Radau and Gauss-Lobatto quadratures

Bruno Welfert

doi:10.1016/j.apnum.2010.03.006

A note on classical Gauss-Radau and Gauss-Lobatto quadratures

Bruno Welfert

Mathematical and Statistical Sciences, School of (SoMSS)

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

4 Scopus citations

Abstract

We show an explicit and simple connection between boundary and interior weights in classical Gauss-Radau and Gauss-Lobatto quadratures in terms of the analyticity of the weight function at the corresponding boundary node.

Original language	English (US)
Pages (from-to)	637-644
Number of pages	8
Journal	Applied Numerical Mathematics
Volume	60
Issue number	6
DOIs	https://doi.org/10.1016/j.apnum.2010.03.006
State	Published - Jun 1 2010

Keywords

Numerical quadrature
Orthogonal polynomials
Sturm-Liouville problem

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/j.apnum.2010.03.006

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abstract = "We show an explicit and simple connection between boundary and interior weights in classical Gauss-Radau and Gauss-Lobatto quadratures in terms of the analyticity of the weight function at the corresponding boundary node.",

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author = "Bruno Welfert",

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AB - We show an explicit and simple connection between boundary and interior weights in classical Gauss-Radau and Gauss-Lobatto quadratures in terms of the analyticity of the weight function at the corresponding boundary node.

KW - Numerical quadrature

KW - Orthogonal polynomials

KW - Sturm-Liouville problem

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A note on classical Gauss-Radau and Gauss-Lobatto quadratures

Abstract

Keywords

ASJC Scopus subject areas

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