A one-step subregion method for delay differential equations

DOI10.1007/BF02575897zbMath0625.65079MaRDI QIDQ579868

Rossana Vermiglio

Publication date: 1985

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

uniform convergencesuperconvergenceimplicit Runge-Kutta methoddelay differential equationsnonlinear equationsone-step methodpiecewise polynomial

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (9)

P-stability properties of Runge-Kutta methods for delay differential equations ⋮ Natural Runge-Kutta and projection methods ⋮ On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation ⋮ Continuous Volterra-Runge-Kutta methods for integral equations with pure delay ⋮ Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments ⋮ Solution of a nonlinear time-delay model in biology via semi-analytical approaches ⋮ The use of polynomial spline functions for the solution of system of second order delay differential equations ⋮ Some applications of continuous Runge-Kutta methods ⋮ The numerical treatment of Volterra integro-differential equations with unbounded delay

Cites Work

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• One-step collocation for delay differential equations
• Numerical treatment of delay differential equations by Hermite interpolation
• Theory of functional differential equations. 2nd ed
• Ordinary and delay differential equations
• Estimation of the error of the method of subdomains
• Implicit Runge-Kutta Processes

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