Regularity properties of Runge-Kutta methods for delay differential equations

DOI10.1016/S0168-9274(97)00025-1zbMath0879.65052MaRDI QIDQ1360548

Rossana Vermiglio, Marino Zennaro, Zdzisław Jackiewicz

Publication date: 22 January 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularityRunge-Kutta methodsdelay-differential equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) General theory of functional-differential equations (34K05)

Related Items (4)

Dynamics of constant and variable stepsize methods for a nonlinear population model with delay ⋮ Regular Runge-Kutta pairs ⋮ Regularity properties of one-leg methods for delay differential equations ⋮ Strongly regular general linear methods

Cites Work

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• Delay differential equations: with applications in population dynamics
• Equilibria of Runge-Kutta methods
• P-stability properties of Runge-Kutta methods for delay differential equations
• Natural Runge-Kutta and projection methods
• A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
• Natural Continuous Extensions of Runge-Kutta Methods
• Stability and Dynamics of Numerical Methods for Nonlinear Ordinary Differential Equations
• Regularity properties of Runge-Kutta methods for ordinary differential equations

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