Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishThe convergence properties of a class of high-order semi-Lagrangian schemes for pure advection equations are studied here in the framework of the theory of viscosity solutions. We review the general convergence results for discrete-time approximation schemes belonging to that class and we prove some a priori estimates in $L^\infty$ and $L^2$ for the rate of convergence of fully discrete schemes. We prove then that a careful coupling of time and space discretizations can allow large time steps in the numerical integration still preserving the accuracy of the solutions. Several examples of schemes and numerical tests are presented.
FALCONE M, & FERRETTI R (1998). Convergence analysis for a class of semi-lagrangian advection schemes. SIAM JOURNAL ON NUMERICAL ANALYSIS, 35, 909-940.
| Titolo: | Convergence analysis for a class of semi-lagrangian advection schemes |
| Autori: | |
| Data di pubblicazione: | 1998 |
| Rivista: | |
| Citazione: | FALCONE M, & FERRETTI R (1998). Convergence analysis for a class of semi-lagrangian advection schemes. SIAM JOURNAL ON NUMERICAL ANALYSIS, 35, 909-940. |
| Abstract: | The convergence properties of a class of high-order semi-Lagrangian schemes for pure advection equations are studied here in the framework of the theory of viscosity solutions. We review the general convergence results for discrete-time approximation schemes belonging to that class and we prove some a priori estimates in $L^\infty$ and $L^2$ for the rate of convergence of fully discrete schemes. We prove then that a careful coupling of time and space discretizations can allow large time steps in the numerical integration still preserving the accuracy of the solutions. Several examples of schemes and numerical tests are presented. |
| Handle: | http://hdl.handle.net/11590/145167 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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