A mixed scheme of product integration rules in \((-1,1)\)

DOI10.1016/j.apnum.2019.09.019OpenAlexW2978298663MaRDI QIDQ2301267

Maria Grazia Russo, Donatella Occorsio

Publication date: 24 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.09.019

zbMATH Keywords

Lagrange interpolationJacobi polynomialsquadrature rules

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

Related Items (3)

A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1\)] ⋮ Product integration rules by the constrained mock-Chebyshev least squares operator ⋮ The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations

Cites Work

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• Hilbert transforms and Lagrange interpolation
• Extended Lagrange interpolation in weighted uniform norm
• Construction of a recurrence relation for modified moments
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• Convergence of Extended Lagrange Interpolation
• Interpolation Processes
• Mean Convergence of Lagrange Interpolation. III
• On Generating Orthogonal Polynomials
• Product-integration rules and their convergence
• The convergence of product integration rules
• Orthogonal polynomials
• Mean Convergence of Derivatives of Extended Lagrange Interpolation with Additional Nodes
• Convergence of Product Integration Rules Over (0, ∞) for Functions with Weak Singularities at the Origin
• On Product Integration with Gauss--Kronrod Nodes
• Mean convergence of orthogonal series and Lagrange interpolation
• Interpolatory quadrature formulae with Chebyshev abscissae
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