A well-conditioned Levin method for calculation of highly oscillatory integrals and its application

DOI10.1016/j.cam.2018.03.044zbMath1457.65017OpenAlexW2801203067WikidataQ129904659 ScholiaQ129904659MaRDI QIDQ1639563

Huilan Liu, Junjie Ma

Publication date: 13 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.03.044

zbMATH Keywords

numerical integrationChebyshev polynomialhighly oscillatory integralLevin methodspectral coefficient method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Best approximation, Chebyshev systems (41A50) Numerical methods for trigonometric approximation and interpolation (65T40) Volterra integral equations (45D05) Numerical integration (65D30)

Related Items (7)

Fast and stable augmented Levin methods for highly oscillatory and singular integrals ⋮ A well-conditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions ⋮ Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral ⋮ A sparse fractional Jacobi-Galerkin-Levin quadrature rule for highly oscillatory integrals ⋮ Frequency-explicit convergence analysis of collocation methods for highly oscillatory Volterra integral equations with weak singularities ⋮ Spectral Levin-type methods for calculation of generalized Fourier transforms ⋮ On the rational Levin quadrature for evaluation of highly oscillatory integrals and its application

Uses Software

• Matlab

Cites Work

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