RADAR5
Implementing Radau IIA methods for stiff delay differential equations. This article discusses the numerical solution of a general class of delay differential equations, including stiff problems, differential-algebraic delay equations, and neutral problems. The delays can be state dependent, and they are allowed to become small and vanish during the integration. Difficulties encounted in the implementation of implicit Runge-Kutta methods are explained, and it is shown how they can be overcome. The performance of the resulting code -- RADAR5 -- is illustrated on several examples, and it is compared to existing programs.
Keywords for this software
References in zbMATH (referenced in 32 articles )
Showing results 1 to 20 of 32.
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- Sieber, Jan: Local bifurcations in differential equations with state-dependent delay (2017)
- Khasi, M.; Ghoreishi, F.; Hadizadeh, M.: Numerical analysis of a high order method for state-dependent delay integral equations (2014)
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- Rihan, Fathalla A.: Computational methods for delay parabolic and time-fractional partial differential equations (2010)
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- Huang, Chengming: Delay-dependent stability of high order Runge-Kutta methods (2009)
- Adhikari, Mohit H.; Coutsias, Evangelos A.; McIver, John K.: Periodic solutions of a singularly perturbed delay differential equation (2008)
- Guglielmi, Nicola; Hairer, Ernst: Computing breaking points in implicit delay differential equations (2008)