Numerical solution of Volterra equations based on mixed interpolation

DOI10.1016/0898-1221(94)90092-2zbMath0805.65142OpenAlexW2028286118MaRDI QIDQ1328826

Philippe Bocher, Guido Vanden Berghe, H. E. De Meyer

Publication date: 8 August 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90092-2

zbMATH Keywords

numerical examplenumerical stabilitymixed interpolationlinear Volterra integral equations of the second kindGregory quadrature formulas

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (6)

Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution ⋮ On mixed collocation methods for Volterra integral equations with periodic solution ⋮ Exponential fitting collocation methods for a class of Volterra integral equations ⋮ Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution ⋮ High order exponentially fitted methods for Volterra integral equations with periodic solution ⋮ Mixed interpolation methods with arbitrary nodes

Cites Work

• Unnamed Item
• On a class of modified Newton-Cotes quadrature formulae based upon mixed- type interpolation
• On a new type of mixed interpolation
• On Gregory-and modified Gregory-type corrections to Newton-Cotes quadrature
• A parallel iterated correction algorithm for the numerical solution of Volterra equations
• On the error estimation for a mixed type of interpolation
• Modified gregory formulae based on mixed interpolation

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