A well-conditioned Levin method for calculation of highly oscillatory integrals and its application
type: Item
instance of: scholarly article
title: A well-conditioned Levin method for calculation of highly oscillatory integrals and its application
zbMATH Open document ID: 1457.65017
author: Junjie Ma
author: Huilan Liu
published in: Journal of Computational and Applied Mathematics
publication date: 2018-06-13T00:00:00Z
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6887298
zbMATH Keywords: spectral coefficient method
zbMATH Keywords: highly oscillatory integral
zbMATH Keywords: Levin method
zbMATH Keywords: numerical integration
zbMATH Keywords: Chebyshev polynomial
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.cam.2018.03.044
OpenAlex ID: W2801203067
cites work: Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
cites work: On numerical methods for highly oscillatory problems in circuit simulation
cites work: Efficient quadrature of highly oscillatory integrals using derivatives
cites work: Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
cites work: Filon-Clenshaw-Curtis rules for highly oscillatory integrals with algebraic singularities and stationary points
cites work: Computation of Fourier transform integrals using Chebyshev series expansions
cites work: Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
cites work: On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
cites work: Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures
cites work: Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
cites work: A universal solution to one-dimensional oscillatory integrals
cites work: Spectral Methods in MATLAB
cites work: Moment-free numerical integration of highly oscillatory functions
cites work: Shifted GMRES for oscillatory integrals
cites work: A user-friendly method for computing indefinite integrals of oscillatory functions
cites work: Multidomain, sparse, spectral-tau method for helically symmetric flow
cites work: Bandwidth truncation for Chebyshev polynomial and ultraspherical/Chebyshev Galerkin discretizations of differential equations: restrictions and two improvements
cites work: A fast and well-conditioned spectral method
cites work: Q5543516
cites work: Is Gauss Quadrature Better than Clenshaw–Curtis?
cites work: On the Lebesgue Function for Polynomial Interpolation
cites work: Q3242438
cites work: The Tau Method
cites work: Q4791752
cites work: An efficient spectral method for ordinary differential equations with rational function coefficients
cites work: On the Filon and Levin methods for highly oscillatory integral \(\smallint^{b}_{a}f(x)e^{iwg(x)}\,dx\)
cites work: On Volterra integral operators with highly oscillatory kernels
cites work: On the evaluation of Cauchy principal value integrals of oscillatory functions
Wikidata QID: Q129904659
DOI: 10.1016/J.CAM.2018.03.044
description: scientific article; zbMATH DE number 6887298