Convergence and stability of quadrature methods applied to Volterra equations with delay

DOI10.1093/imanum/13.1.67zbMath0764.65082OpenAlexW2110653170MaRDI QIDQ4024987

Mir S. Derakhshan, Christopher T. H. Baker

Publication date: 22 February 1993

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/13.1.67

zbMATH Keywords

stabilityconvergencenumerical examplesquadrature methodslocal truncation errorVolterra equations with delaytest equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (9)

Stable and convergent difference schemes for weakly singular convolution integrals ⋮ Multilevel correction for collocation solutions of Volterra integral equations with proportional delays ⋮ Fourth order scheme of exponential type for singularly perturbed volterra integro-differential equations ⋮ Existence and uniqueness of the solution for some double delay integral equations ⋮ A stable numerical method for Volterra integral equations with discontinuous kernel ⋮ On the test Volterra equations of the first kind in the integral models of developing systems ⋮ A convolution test equation for double delay integral equations ⋮ Numerical analysis of a high order method for nonlinear delay integral equations ⋮ On solutions of some delay Volterra integral problems on a half-line

This page was built for publication: Convergence and stability of quadrature methods applied to Volterra equations with delay