CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe consider the application of symmetric Boundary Value Methods to linear autonomous Hamiltonian systems. The numerical approximation of the Hamiltonian function exhibits a superconvergence property, namely its order of convergence is p + 2 for a p order symmetric method. We exploit this result to define a natural projection procedure that slightly modifies the numerical solution so that, without changing the convergence properties of the numerical method, it provides orbits lying on the same quadratic manifold as the continuous ones. A numerical test is also reported.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Conservation properties of symmetric BVMs applied to linear Hamiltonian problems |
| Autori: | |
| Data di pubblicazione: | 2002 |
| Rivista: | |
| Abstract: | We consider the application of symmetric Boundary Value Methods to linear autonomous Hamiltonian systems. The numerical approximation of the Hamiltonian function exhibits a superconvergence property, namely its order of convergence is p + 2 for a p order symmetric method. We exploit this result to define a natural projection procedure that slightly modifies the numerical solution so that, without changing the convergence properties of the numerical method, it provides orbits lying on the same quadratic manifold as the continuous ones. A numerical test is also reported. |
| Handle: | http://hdl.handle.net/11586/1726 |
| ISBN: | 3-540-43594-8 |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
File in questo prodotto:
http://hdl.handle.net/11586/1726
Copyright © 2020