Preservation of the growth rates of delay differential equations by Euler schemes with non-uniform step sizes

DOI10.1016/J.CAMWA.2012.01.077zbMath1268.34142OpenAlexW1997908953MaRDI QIDQ356145

Michael J. McCarthy, John A. D. Appleby

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.077

zbMATH Keywords

growth ratedifference equationdelay-differential equationEuler schemestate-dependent mesh

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Numerical methods for functional-differential equations (65L03)

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Cites Work

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• An adaptive time step procedure for a parabolic problem with blow-up
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• An adaptive numerical method to handle blow up in a parabolic system
• FULLY DISCRETE ADAPTIVE METHODS FOR A BLOW-UP PROBLEM
• Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
• Numerical Solutions of Stochastic Functional Differential Equations
• Numerical Analysis of Stochastic Differential Equations with Explosions

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