Journal
COMPUTING
Volume 67, Issue 1, Pages 1-12Publisher
SPRINGER-VERLAG WIEN
DOI: 10.1007/s006070170013
Keywords
stiff delay differential equations; neutral problems; Runge-Kutta methods; implementation; step size control; numerical comparisons
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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 encountered 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.
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