A product integration rule on equispaced nodes for highly oscillating integrals

DOI10.1016/j.aml.2022.108463OpenAlexW4298325836MaRDI QIDQ2106097

Domenico Mezzanotte, Luisa Fermo, Donatella Occorsio

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2207.08881

zbMATH Keywords

quadrature rulesapproximation by polynomialsBoolean iterated sums of Bernstein operators

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05)

Cites Work

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• The Construction of cubature rules for multivariate highly oscillatory integrals
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• Bivariate generalized Bernstein operators and their application to Fredholm integral equations
• On the Construction of Gaussian Quadrature Rules from Modified Moments

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