Stepsize control for delay differential equations using a pair of formulae

DOI10.1016/0377-0427(89)90306-3zbMath0655.65097OpenAlexW2034988462MaRDI QIDQ1109534

S.Filippi, U. Buchacker

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90306-3

zbMATH Keywords

numerical exampleserror estimatestepsize controlone-step methodsformula-pairlocal approximation error

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

• Numerical solution of retarded initial value problems: Local and global error and stepsize control
• A type insensitive code for delay differential equations basing on adaptive and explicit Runge-Kutta interpolation methods
• Numerical treatment of delay differential equations by Hermite interpolation
• Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme
• Runge-Kutta triples
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