On Gauss-Type Quadrature Rules

DOI10.1080/01630563.2010.510981zbMath1207.65028OpenAlexW2168497266MaRDI QIDQ3068648

M. A. Bokhari, H. Al Attas, Asghar Qadir

Publication date: 17 January 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.510981

zbMATH Keywords

orthogonal polynomialsnumerical examplesGauss quadrature rulethree-term recurrence relationJacobi matrixGauss-Lobatto quadrature ruleGauss-Radau quadrature rulecomputation of nodes

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Uses Software

• RADAU
• OPQ

Cites Work

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• Gauss-Radau and Gauss-Lobatto quadratures with double end points
• On the calculation of Jacobi matrices
• Kronrod extension of generalized Gauss-Radau and Gauss-Lobatto formulae
• Gauss-Radau formulae for Jacobi and Laguerre weight functions
• A more accurate algorithm for computing the Christoffel transformation
• On numerical improvement of Gauss--Radau quadrature rules
• Calculation of Gauss-Kronrod quadrature rules
• Some Modified Matrix Eigenvalue Problems
• High-order Gauss-Lobatto formulae