The numerical stability of multistep methods for Volterra integral equations with many delays

DOI10.1080/00207160412331284105zbMath1066.65160OpenAlexW2091759218MaRDI QIDQ4652746

Modi H. Alnasr

Publication date: 28 February 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160412331284105

zbMATH Keywords

numerical exampledelayP-stabilityVolterra integral equationsGP-stabilitymodified multilag method

Mathematics Subject Classification ID

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

Related Items (5)

Further improvement on synchronization stability of complex networks with coupling delays ⋮ Existence and uniqueness of the solution for some double delay integral equations ⋮ Dissipativity of θ-methods for a class of nonlinear neutral delay integro-differential equations ⋮ A stable numerical method for Volterra integral equations with discontinuous kernel ⋮ A convolution test equation for double delay integral equations

Cites Work

• Numerical stability of the \(\theta\)-methods for systems of differential equations with several delay terms
• High-order methods for the numerical solution of Volterra integro- differential equations
• Numerical stability analysis of numerical methods for Volterra integral equations with delay argument
• On the numerical stability of Volterra integral equations with delay argument
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• Special stability problems for functional differential equations
• Modified multilag methods for singularly perturbed volterra integral equations
• The Numerical Stability of Linear Multistep Methods for Delay Differential Equations with Many Delays
• Stability of 2h-step spline method for delay differential equations

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