A type insensitive code for delay differential equations basing on adaptive and explicit Runge-Kutta interpolation methods

DOI10.1007/BF02251253zbMath0662.65072OpenAlexW1547152071MaRDI QIDQ1114355

Karl Strehmel, Rüdiger Weiner

Publication date: 1988

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02251253

zbMATH Keywords

numerical resultsRichardson extrapolationstepsize controlautomatic stiffness detectioncomparisons with other codesexplicit Runge-Kutta interpolation methodnonstiff delay equationsstiff delay equationsthird order linearly implicit Runge-Kutta method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Stepsize control for delay differential equations using a pair of formulae, Singly-implicit Runge-Kutta methods for retarded and ordinary differential equations, The numerical solution of neutral functional differential equations by Adams predictor-corrector methods

Uses Software

• ODEPACK

Cites Work

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• P-stable and P[\(\alpha\),\(\beta\)-stable integration/interpolation methods in the solution of retarded differential-difference equations]
• Numerical solution of retarded initial value problems: Local and global error and stepsize control
• Numerical treatment of delay differential equations by Hermite interpolation
• Behandlung steifer Anfangswertprobleme gewöhnlicher Differentialgleichungen mit adaptiven Runge-Kutta-Methoden
• The Stability of Difference Formulas for Delay Differential Equations
• Special stability problems for functional differential equations