Computing breaking points in implicit delay differential equations

DOI10.1007/s10444-007-9044-5zbMath1160.65041OpenAlexW2080504923MaRDI QIDQ959999

Nicola Guglielmi, Ernst Hairer

Publication date: 16 December 2008

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://archive-ouverte.unige.ch/unige:5206

zbMATH Keywords

algorithmnumerical experimentsRunge-Kutta methodserror controldiscontinuitiesbreaking pointsRadau IIA methodsimplicit delay differential equations

Mathematics Subject Classification ID

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Uses Software

• RODAS
• RADAR5

Cites Work

• Unnamed Item
• Differential-difference equations
• The numerical solution of neutral functional differential equations by Adams predictor-corrector methods
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• Numerical treatment of retarded differential-algebraic equations by collocation methods
• A delay differential equation solver based on a continuous Runge-Kutta method with defect control
• Issues in the numerical solution of evolutionary delay differential equations
• Solving Ordinary Differential Equations I
• On neutral delay logistic gause-type predator-prey systems
• High Order Methods for State-Dependent Delay Differential Equations with Nonsmooth Solutions
• A First Order Method for Differential Equations of Neutral Type
• Numerical Methods for Delay Differential Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Implementing Radau IIA methods for stiff delay differential equations

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