On the numerical stability of Volterra integral equations with delay argument

DOI10.1016/0377-0427(90)90259-3zbMath0719.65092OpenAlexW2046022096MaRDI QIDQ2640334

Baruch Cahlon

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90259-3

zbMATH Keywords

linear multistep methodsVolterra integral equationsquadrature methodsStability regionsone- step methodsintegral equation with delay argument

Mathematics Subject Classification ID

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

Related Items

The P-stability of backward differentiation method for singularly perturbed Volterra integral equations with delay argument ⋮ Collocation and continuous implicit Runge-Kutta methods for a class of delay Volterra integral equations ⋮ Numerical stability analysis of numerical methods for Volterra integral equations with delay argument ⋮ Numerical stability analysis of steady state solutions of integral equations with distributed delays ⋮ Strong convergence of the Euler-Maruyama method for nonlinear stochastic convolution Itô-Volterra integral equations with constant delay ⋮ Open problems in the discretization of volterra integral equations ⋮ Continuous Volterra-Runge-Kutta methods for integral equations with pure delay ⋮ The numerical stability of multistep methods for Volterra integral equations with many delays ⋮ Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments ⋮ Strong convergence of the semi-implicit Euler method for nonlinear stochastic Volterra integral equations with constant delay ⋮ Stability of BDF methods for nonlinear Volterra integral equations with delay

Cites Work

• Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
• On the Numerical Stability of Reducible Quadrature Methods for Second Kind Volterra Integral Equations
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Stability Regions in the Numerical Treatment of Volterra Integral Equations
• Asymptotic behavior of solutions of differential-difference equations.
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