Stability of Multistep Methods for Delay Differential Equations

DOI10.2307/2005969zbMath0326.65047OpenAlexW4233535527MaRDI QIDQ4091381

Lawrence F. Wiederholt

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2005969

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (12)

A Legendre–Petrov–Galerkin method for solving Volterra integro-differential equations with proportional delays ⋮ On the asymptotic stability of \(\theta\)-methods for delay differential equations ⋮ A mixed finite element for the Stokes problem using quadrilateral elements ⋮ Issues in the numerical solution of evolutionary delay differential equations ⋮ Ana priorierror analysis of thehp-version of theC⁰-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations ⋮ Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations ⋮ On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation ⋮ Numerical solution and stability of multistep method for solving delay differential equations ⋮ Neural network solution of single-delay differential equations ⋮ Stability analysis of numerical methods for delay differential equations ⋮ Stability in linear multistep methods for pure delay equations ⋮ Stability analysis of two-step Runge-Kutta methods for delay differential equations

Cites Work

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• Differential equations: Stability, oscillations, time lags
• On the numerical integration of a symmetric system of difference- differential equations of neutral type
• Stable Predictor-Corrector Methods for Ordinary Differential Equations
• Stability of a Generalized Corrector Formula
• Stability Properties of Predictor-Corrector Methods for Ordinary Differential Equations
• Linear multistep methods for the numerical solution of volterra functional differential equations^†
• Stability Properties of Adams-Moulton Type Methods
• Generalized Multistep Predictor-Corrector Methods
• Relative Stability in the Numerical Solution of Ordinary Differential Equations

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