A new representation of generalized averaged Gauss quadrature rules

DOI10.1016/j.apnum.2020.11.016zbMath1465.65023OpenAlexW3109298388WikidataQ112880255 ScholiaQ112880255MaRDI QIDQ2029147

Miodrag M. Spalević, Lothar Reichel

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.11.016

zbMATH Keywords

Gauss quadraturegeneralized averaged Gauss rule

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (10)

Averaged Gauss quadrature formulas: properties and applications ⋮ Radau- and Lobatto-type averaged Gauss rules ⋮ Error estimates for a Gaussian rule involving Bessel functions ⋮ Decompositions of optimal averaged Gauss quadrature rules ⋮ Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds ⋮ Averaged cubature schemes on the real positive semiaxis ⋮ Optimal averaged Padé-type approximants ⋮ Gauss-type quadrature rules with respect to external zeros of the integrand ⋮ Modified anti-Gaussian quadrature formulae of Chebyshev type ⋮ Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind

Uses Software

• OPQ

Cites Work

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• On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas
• Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind
• On generalized averaged Gaussian formulas
• A Fast Algorithm for the Calculation of the Roots of Special Functions
• Calculation of Gauss-Kronrod quadrature rules
• Anti-Gaussian quadrature formulas
• Computation of Gauss-Kronrod quadrature rules
• Calculation of Gauss Quadrature Rules
• Computation of Gauss-type quadrature formulas

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