Numerical approximation of Volterra integral equations with highly oscillatory kernels
type: Item
instance of: scholarly article
title: Numerical approximation of Volterra integral equations with highly oscillatory kernels
zbMATH Open document ID: 1548.65405
author: Suliman Khan
published in: Results in Applied Mathematics
publication date: 2024-10-14T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 65D12
zbMATH DE Number: 7925738
zbMATH Keywords: Volterra integral equations
zbMATH Keywords: Levin method
zbMATH Keywords: stable analysis
zbMATH Keywords: compactly supported radial basis functions
zbMATH Keywords: highly oscillatory kernels
MaRDI profile type: Publication
cites work: On the unsteady Poiseuille flow in a pipe
cites work: Fast integration of rapidly oscillatory functions
cites work: Analysis of a collocation method for integrating rapidly oscillatory functions
cites work: The spectral problem for a class of highly oscillatory Fredholm integral operators
cites work: A rapid solution of a kind of 1D Fredholm oscillatory integral equation
cites work: Integral Equations with a Rapidly Oscillating Kernel
cites work: On the evaluation of highly oscillatory integrals with high frequency
cites work: Interpolation based formulation of the oscillatory finite Hilbert transforms
cites work: Approximation of Cauchy-type singular integrals with high frequency Fourier kernel
cites work: On a quadrature formula for trigonometric integrals.
cites work: Numerical analysis of a fast integration method for highly oscillatory functions
cites work: Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
cites work: Uniform approximation to finite Hilbert transform of oscillatory functions and its algorithm
cites work: From high oscillation to rapid approximation I: modified Fourier expansions
cites work: Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures
cites work: Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase
cites work: On mixed collocation methods for Volterra integral equations with periodic solution
cites work: Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels
cites work: High order exponentially fitted methods for Volterra integral equations with periodic solution
cites work: Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel
cites work: On fast multipole methods for Volterra integral equations with highly oscillatory kernels
cites work: On the convergence rate of collocation methods for Volterra integral equations with weakly singular oscillatory trigonometric kernels
cites work: A well-conditioned Levin method for calculation of highly oscillatory integrals and its application
cites work: A universal solution to one-dimensional oscillatory integrals
cites work: A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels
cites work: Meshless methods for one-dimensional oscillatory Fredholm integral equations
cites work: Meshless procedure for highly oscillatory kernel based one-dimensional Volterra integral equations
cites work: Simulating backward wave propagation in metamaterial with radial basis functions
cites work: A well-conditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions
cites work: Approximation of oscillatory Bessel integral transforms
cites work: A well-conditioned and efficient implementation of dual reciprocity method for Poisson equation
cites work: Q3142876
cites work: Q4396948
cites work: Meshless methods for two-dimensional oscillatory Fredholm integral equations
cites work: Efficient quadrature for highly oscillatory integrals involving critical points
cites work: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
cites work: Q4856431
cites work: Efficient collocation methods for Volterra integral equations with highly oscillatory kernel
DOI: 10.1016/J.RINAM.2024.100483
description: scientific article; zbMATH DE number 7925738