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

Access to Document

10.1016/j.apnum.2010.03.005

Cite this

@article{dcc76bdd181242c0b7a71e9bd788ce9c,

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",

month = may,

day = "1",

doi = "10.1016/j.apnum.2010.03.005",

language = "English (US)",

volume = "60",

pages = "574--586",

journal = "Applied Numerical Mathematics",

issn = "0168-9274",

publisher = "Elsevier B.V.",

number = "5",

}

TY - JOUR

T1 - The weights of classical Gauss-Radau quadratures with double end-point

AU - Welfert, Bruno

PY - 2010/5/1

Y1 - 2010/5/1

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/77950858579

UR - https://www.scopus.com/pages/publications/77950858579#tab=citedBy

U2 - 10.1016/j.apnum.2010.03.005

DO - 10.1016/j.apnum.2010.03.005

M3 - Article

AN - SCOPUS:77950858579

SN - 0168-9274

VL - 60

SP - 574

EP - 586

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 5

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this