Exponential fitting direct quadrature methods for Volterra integral equations

DOI10.1007/s11075-010-9365-1zbMath1207.65156OpenAlexW2020606472MaRDI QIDQ607521

Beatrice Paternoster, L. Gr. Ixaru, Angelamaria Cardone

Publication date: 22 November 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9365-1

zbMATH Keywords

convergenceperiodic solutionsnumerical experimentsexponential fittingdirect quadratureconvolution type Volterra integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Periodic solutions of integral equations (45M15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (18)

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ Modified Gauss-Laguerre exponential fitting based formulae ⋮ Two-step collocation methods for fractional differential equations ⋮ Exponential fitting collocation methods for a class of Volterra integral equations ⋮ On the numerical stability of the exponentially fitted methods for first order IVPs ⋮ Exponentially fitted two-step peer methods for oscillatory problems ⋮ Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations ⋮ Exponentially fitted methods with a local energy conservation law ⋮ Study the genetic variation using eta functions ⋮ The generalized quadrature method for a class of highly oscillatory Volterra integral equations ⋮ Adapted numerical modelling of the Belousov-Zhabotinsky reaction ⋮ Implementation of general linear methods for Volterra integral equations ⋮ Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution ⋮ The least-squares fit of highly oscillatory functions using eta-based functions ⋮ High order exponentially fitted methods for Volterra integral equations with periodic solution ⋮ Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval ⋮ Exponential quadrature rules for linear fractional differential equations ⋮ Adapted explicit two-step peer methods

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