Summary
The paper provides an original presentation of the numerical integration of general Retarded Functional Differential Equations as a sequence of approximations of the states of the system. The global error analysis is developed for one-step methods and order conditions are provided for a suitable generalization of explicit Runge-Kutta methods.
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References
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© 2009 Springer-Verlag Berlin Heidelberg
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Bellen, A., Maset, S. (2009). Analysis of Numerical Integration for Time Delay Systems. In: Loiseau, J.J., Michiels, W., Niculescu, SI., Sipahi, R. (eds) Topics in Time Delay Systems. Lecture Notes in Control and Information Sciences, vol 388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02897-7_14
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DOI: https://doi.org/10.1007/978-3-642-02897-7_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02896-0
Online ISBN: 978-3-642-02897-7
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