On the Newton iteration in the application of collocation methods to implicit delay equations

DOI10.1016/j.apnum.2004.08.036zbMath1070.65069OpenAlexW2114229948MaRDI QIDQ1772800

Nicola Guglielmi

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.08.036

zbMATH Keywords

numerical examplesinitial value problemscollocation methodsNewton iterationRunge-Kutta methodimplicit delay differential equationsRadau nodes

Mathematics Subject Classification ID

Related Items (3)

Stability and convergence of the two parameter cubic spline collocation method for delay differential equations ⋮ Numerical methods for delay models in biomathematics ⋮ Recent trends in the numerical solution of retarded functional differential equations

Uses Software

• RADAU
• RODAS
• RADAR5

Cites Work

• Delay differential equations: with applications in population dynamics
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• A delay differential equation solver based on a continuous Runge-Kutta method with defect control
• Differential algebraic equations with after-effect
• Epileptiform activity in a neocortical network: a mathematical model
• Issues in the numerical solution of evolutionary delay differential equations
• Stiff differential equations solved by Radau methods
• A First Order Method for Differential Equations of Neutral Type
• Implementing Radau IIA methods for stiff delay differential equations
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