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
file disponibile solo agli amministratori
Descrizione: PDF-rivista
Tipologia:
Versione Editoriale (PDF)
Licenza:
DRM non definito
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.