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Abstract: We discuss briefly various phenomena to be tested when designing a robust code for delay differential equations: choice of interpolant; tracking of discontinuities; vanishing delays; and problems arising from floating-point arithmetic. (Update)
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BibTeX entry: (Update)
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Citations (may not include all citations):71 Solving Ordinary Differential Equations 1: Nonstiff Problems (context) - Hairer, Nrsett et al. - 1980
33 A Family of Embedded Runge-Kutta Formulae (context) - Dormand, Prince - 1980
28 Natural Continuous Extensions of Runge Kutta Methods (context) - Zennaro - 1986
12 Explicit Runge-Kutta Methods for the Numerical Solution of S.. - Baker, Paul - 1992
11 Software for the Numerical Solution of Systems of Functional.. (context) - Neves, Thompson - 1992
10 Characterization of Jump Discontinuities for State Dependent.. (context) - Feldstein, Neves - 1976
10 Numerical Treatment of Delay Differential Equations by Hermi.. (context) - Oberle, Pesch - 1981
9 Numerical Solution of Retarded Initial Value Problems: Local.. (context) - Arndt - 1984
7 Highly Continuous Runge-Kutta Interpolants (context) - Higham - 1989
6 One-Step Methods for the Numerical Solution of Volterra Func.. (context) - Tavernini - 1971
5 Numerical Interpolation of Retarded Differential Equations (context) - Arndt, Van der Houwen et al. - 1985
5 The Propagation of Derivative Discontinuities in Systems of .. (context) - Baker, Will'e - 1988
5 Numerischer Vergleich von Programmen zur Losung von Delay Gl.. (context) - Hugel - 1986
4 Stepsize Control for Delay Differential Equations using a Pa.. (context) - Buchacker, Filippi - 1989
4 The Approximate Solution of Differential Equations with a Di.. (context) - Zverkina - 1962
[Article contains additional citations not shown here]
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