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EnglishIn this paper we obtain, for the global errors of a functional continuous Runge–Kutta (FCRK) method as applied to a retarded functional differential equation (RFDE), a recursive relation similar to that obtained for the global errors of a one-step method as applied to an ordinary differential equation. After which, we introduce a notion of good behavior with respect to the stiffness of an FCRK method on a given family of RFDEs. Finally, we analyze this notion of “good behavior” in the case of particular families of scalar semilinear RFDEs with nonvanishing delays.
| Titolo: | Good behaviour with respect to the stiffness in the numerical integration of retarded functional differential equations |
| Autori: | |
| Data di pubblicazione: | 2014 |
| Rivista: | |
| Abstract: | In this paper we obtain, for the global errors of a functional continuous Runge–Kutta (FCRK) method as applied to a retarded functional differential equation (RFDE), a recursive relation similar to that obtained for the global errors of a one-step method as applied to an ordinary differential equation. After which, we introduce a notion of good behavior with respect to the stiffness of an FCRK method on a given family of RFDEs. Finally, we analyze this notion of “good behavior” in the case of particular families of scalar semilinear RFDEs with nonvanishing delays. |
| Handle: | http://hdl.handle.net/11368/2805928 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/130908543 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| SINUM 52(2014), 1843-1866.pdf | Articolo principale | Documento in Versione Editoriale | Digital Rights Management non definito | Administrator Richiedi una copia |
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11368/2805928
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