High order exponentially fitted methods for Volterra integral equations with periodic solution

DOI10.1016/j.apnum.2016.05.003zbMath1357.65314OpenAlexW2396186172MaRDI QIDQ509410

Beatrice Paternoster, Angelamaria Cardone, Raffaele D'Ambrosio

Publication date: 9 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.05.003

zbMATH Keywords

convergencenumerical experimentsperiodic solutionVolterra integral equationsquadrature methodsexponential fittingconvolution bound

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (13)

High asymptotic order methods for highly oscillatory integral equations with trigonometric kernels ⋮ Exponential fitting collocation methods for a class of Volterra integral equations ⋮ Error estimates of piecewise Hermite collocation method for highly oscillatory Volterra integral equation with Bessel kernel ⋮ Unnamed Item ⋮ Exponential fitting for interpolation of oscillatory functions. A numerical approach ⋮ Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems ⋮ Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations ⋮ The generalized quadrature method for a class of highly oscillatory Volterra integral equations ⋮ Multivalue mixed collocation methods ⋮ Numerical computation of the coefficients in exponential fitting ⋮ Collocation methods for Volterra integral and integro-differential equations: a review ⋮ Efficient collocation methods for Volterra integral equations with highly oscillatory kernel ⋮ Numerical conservation laws of time fractional diffusion PDEs

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