The weights of classical Gauss-Radau quadratures with double end-point

Bruno Welfert

doi:10.1016/j.apnum.2010.03.005

The weights of classical Gauss-Radau quadratures with double end-point

Bruno Welfert

Mathematical and Statistical Sciences, School of (SoMSS)

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

2 Scopus citations

Abstract

Explicit expressions for the weights of classical Gauss-Radau quadratures with double end-point are derived. Applications to Jacobi and generalized Laguerre polynomials are considered. Asymptotic estimates of interior weights are also suggested and verified numerically.

Original language	English (US)
Pages (from-to)	574-586
Number of pages	13
Journal	Applied Numerical Mathematics
Volume	60
Issue number	5
DOIs	https://doi.org/10.1016/j.apnum.2010.03.005
State	Published - May 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.2010.03.005

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title = "The weights of classical Gauss-Radau quadratures with double end-point",

abstract = "Explicit expressions for the weights of classical Gauss-Radau quadratures with double end-point are derived. Applications to Jacobi and generalized Laguerre polynomials are considered. Asymptotic estimates of interior weights are also suggested and verified numerically.",

keywords = "Numerical quadrature, Orthogonal polynomials, Sturm-Liouville problem",

author = "Bruno Welfert",

year = "2010",

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AB - Explicit expressions for the weights of classical Gauss-Radau quadratures with double end-point are derived. Applications to Jacobi and generalized Laguerre polynomials are considered. Asymptotic estimates of interior weights are also suggested and verified numerically.

KW - Numerical quadrature

KW - Orthogonal polynomials

KW - Sturm-Liouville problem

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JO - Applied Numerical Mathematics

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The weights of classical Gauss-Radau quadratures with double end-point

Abstract

Keywords

ASJC Scopus subject areas

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