In this paper a rigorous analysis of the linear stability for two classes of methods, both generalizing the trapezoidal rule, is done. The information on the coefficients of the methods, useful for the analysis, are obtained by an extensive use of properties of the Pascal matrix, some of which are derived in this work.
Theoretical analysis of the stability for Extended Trapezoidal Rules
ACETO, LIDIA;
2009-01-01
Abstract
In this paper a rigorous analysis of the linear stability for two classes of methods, both generalizing the trapezoidal rule, is done. The information on the coefficients of the methods, useful for the analysis, are obtained by an extensive use of properties of the Pascal matrix, some of which are derived in this work.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Nonlinear analysis 71.pdf
solo utenti autorizzati
Tipologia:
Versione finale editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
387.89 kB
Formato
Adobe PDF
|
387.89 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
