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

DOI10.1016/j.apnum.2010.03.005zbMath1188.41022OpenAlexW1990124779MaRDI QIDQ973091

Bruno D. Welfert

Publication date: 28 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.03.005

zbMATH Keywords

orthogonal polynomialsnumerical quadratureSturm-Liouville problem

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (2)

A note on classical Gauss-Radau and Gauss-Lobatto quadratures ⋮ Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules

Uses Software

• ORTHPOL
• RADAU
• OPQ

Cites Work

• Unnamed Item
• Gauss-Radau and Gauss-Lobatto quadratures with double end points
• A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
• A note on classical Gauss-Radau and Gauss-Lobatto quadratures
• High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions
• Gauss-Radau formulae for Jacobi and Laguerre weight functions
• An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
• Generalized Gauss-Radau and Gauss-Lobatto formulae
• Orthogonal polynomials
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
• High-order Gauss-Lobatto formulae

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