A Gaussian quadrature rule for Fourier-type highly oscillatory integrals in the presence of stationary points
type: Item
instance of: scholarly article
title: A Gaussian quadrature rule for Fourier-type highly oscillatory integrals in the presence of stationary points
zbMATH Open document ID: 1470.65034
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 33C47
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 7354998
zbMATH Keywords: Gaussian quadrature
zbMATH Keywords: monic orthogonal polynomials
zbMATH Keywords: asymptotic analysis
describes a project that uses: OPQ
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113592
OpenAlex ID: W3154913590
Wikidata QID: Q114201994
cites work: On quadrature methods for highly oscillatory integrals and their implementation
cites work: On the computation of highly oscillatory multivariate integrals with stationary points
cites work: A Modification of Filon's Method of Numerical Integration
cites work: On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
cites work: Efficient quadrature of highly oscillatory integrals using derivatives
cites work: Quadrature methods for multivariate highly oscillatory integrals using derivatives
cites work: On the Filon and Levin methods for highly oscillatory integral \(\smallint^{b}_{a}f(x)e^{iwg(x)}\,dx\)
cites work: Modified Clenshaw-Curtis method for the computation of Bessel function integrals
cites work: Complex Gaussian quadrature of oscillatory integrals
cites work: A Gaussian quadrature rule for oscillatory integrals on a bounded interval
cites work: Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
cites work: Fast integration of rapidly oscillatory functions
cites work: Moment-free numerical integration of highly oscillatory functions
cites work: Moment-free numerical approximation of highly oscillatory integrals with stationary points
cites work: On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
cites work: Computing Highly Oscillatory Integrals
cites work: Superinterpolation in highly oscillatory quadrature
cites work: A practical guide to splines
cites work: Error bounds for optimal definite quadrature formulae
cites work: Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors
cites work: Q4820343
cites work: Q4779819
cites work: Q3579593
cites work: Multi-point Taylor expansions of analytic functions
cites work: Q3142876
DOI: 10.1016/J.CAM.2021.113592
Recommended article: On the numerical approximation for Fourier-type highly oscillatory integrals with Gauss-type quadrature rules
Recommended article: New quadrature rules for highly oscillatory integrals with stationary points
Recommended article: A Gaussian quadrature rule for oscillatory integrals on a bounded interval
Recommended article: A Gauss quadrature rule for oscillatory integrands
Recommended article: Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications
Recommended article: Gaussian quadratures for oscillatory integrands
Recommended article: On the computation of highly oscillatory multivariate integrals with stationary points
Recommended article: Exponentially fitted quadrature rules of Gauss type for oscillatory integrands
Recommended article: On quadrature methods for highly oscillatory integrals and their implementation
Recommended article: Moment-free numerical approximation of highly oscillatory integrals with stationary points
description: scientific article; zbMATH DE number 7354998