ArTS Archivio della ricerca di Trieste
ArTS è il sistema di gestione integrata dei dati della ricerca adottato dall' Università degli Studi di Trieste
EnglishWe introduce Runge–Kutta (RK) methods for Retarded Functional Differential Equations (RFDEs).With respect to RK methods (A, b, c) for Ordinary Differential Equations the weights vector b ∈ Rs and the coefficients matrix A ∈ Rs×s are replaced by Rsvalued and Rs×s-valued polynomial functions b(·) and A(·) respectively. Such methods for RFDEs are different from Continuous RK (CRK) methods where only the weights vector is replaced by a polynomial function. We develop order conditions and construct explicit methods up to the convergence order four.
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11368/1697476| Titolo: | Runge-Kutta Methods for Retarded Functional Differential Equations |
| Autori interni: | MASET, STEFANO TORELLI, LUCIO |
| Data di pubblicazione: | 2005 |
| Rivista: | MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES |
| Abstract: | We introduce Runge–Kutta (RK) methods for Retarded Functional Differential Equations (RFDEs).With respect to RK methods (A, b, c) for Ordinary Differential Equations the weights vector b ∈ Rs and the coefficients matrix A ∈ Rs×s are replaced by Rsvalued and Rs×s-valued polynomial functions b(·) and A(·) respectively. Such methods for RFDEs are different from Continuous RK (CRK) methods where only the weights vector is replaced by a polynomial function. We develop order conditions and construct explicit methods up to the convergence order four. |
| Handle: | http://hdl.handle.net/11368/1697476 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.