An adaptive algorithm for determining the optimal degree of regression in constrained mock-Chebyshev least squares quadrature

DOI10.14658/PUPJ-DRNA-2022-4-4zbMATH Open1540.6509MaRDI QIDQ6556657

Elisa Francomano, Federico Nudo, F. Di Tommaso, F. Dell'Accio

Publication date: 17 June 2024

Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical interpolation (65D05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• Creating stable quadrature rules with preassigned points by interpolation
• Linear barycentric rational quadrature
• On the constrained mock-Chebyshev least-squares
• Divergence (Runge phenomenon) for least-squares polynomial approximation on an equispaced grid and mock-Chebyshev subset interpolation
• Generalizations of the constrained mock-Chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation
• Constrained mock-Chebyshev least squares quadrature
• Stable high-order quadrature rules with equidistant points
• Multivariate approximation at fake nodes
• Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
• A Fast, Simple, and Stable Chebyshev--Legendre Transform Using an Asymptotic Formula
• Construction of Gauss-Christoffel Quadrature Formulas
• Quadrature at \textit{fake nodes}

Related Items (3)

Numerical approximation of Fredholm integral equation by the constrained mock-Chebyshev least squares operator ⋮ An extension of a mixed interpolation-regression method using zeros of orthogonal polynomials ⋮ A mixed interpolation-regression approximation operator on the triangle

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