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EnglishIn this paper we deal with a very general class of Runge-Kutta methods for the numerical solution of Volterra integro-differential equations. Our main contribution is the development of the theory of Natural Continuos Extensions (NCEs), i.e. piecewise polynomials functions which interpolate the values given by the Runge-Kutta methods at mesh points. The particular features of the NCEs allow to construct tail approximations which are quite efficient since they require a minimal number of kernel evaluations
| Titolo: | Natural continuous extensions for Runge-Kutta methods for Volterra integrodifferential equations |
| Autori: | |
| Data di pubblicazione: | 1988 |
| Rivista: | |
| Citazione: | Natural continuous extensions for Runge-Kutta methods for Volterra integrodifferential equations / VERMIGLIO R. - In: NUMERISCHE MATHEMATIK. - ISSN 0029-599X. - STAMPA. - 53:4(1988), pp. 439-458. |
| Abstract: | In this paper we deal with a very general class of Runge-Kutta methods for the numerical solution of Volterra integro-differential equations. Our main contribution is the development of the theory of Natural Continuos Extensions (NCEs), i.e. piecewise polynomials functions which interpolate the values given by the Runge-Kutta methods at mesh points. The particular features of the NCEs allow to construct tail approximations which are quite efficient since they require a minimal number of kernel evaluations |
| Handle: | http://hdl.handle.net/11390/671869 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 1988_NumMath_vermiglio.pdf | Post-print | Non pubblico | Accesso ristretto Richiedi una copia |
http://hdl.handle.net/11390/671869
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