Suboptimal Kronrod extension formulae for numerical quadrature

DOI10.1007/BF01385655zbMath0699.65015MaRDI QIDQ913443

N. E. Zubov

Publication date: 1991

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133531

zbMATH Keywords

modified Newton's methodGaussian quadrature formulaGauss-Gegenbauer formulaeGauss-Hermite quadrature rulesKronrod rulesStieltjes polynomial

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Modified optimal quadrature extensions, On the computation of Patterson-type quadrature rules, A general frame for uncertainty propagation under multimodally distributed random variables, Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules, Anti-Gaussian quadrature formulas, Calculation of Radau-Kronrod and Lobatto-Kronrod quadrature formulas, Modified anti-Gauss and degree optimal average formulas for Gegenbauer measure, Stopping functionals for Gaussian quadrature formulas, Adjoint Error Estimation for Stochastic Collocation Methods, On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas

Uses Software

• QUADPACK

Cites Work

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• On polynomials orthogonal with respect to particular variable-signed weight functions
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• On Computing Gauss-Kronrod Quadrature Formulae
• Stieltjes Polynomials and Related Quadrature Rules
• A Note on Extended Gaussian Quadrature Rule
• A Note on the Optimal Addition of Abscissas to Quadrature Formulas of Gauss and Lobatto Type
• Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
• The Optimum Addition of Points to Quadrature Formulae