The superconsistent collocation method, which is based on a collocation grid different from the one used to represent the solution, has proven to be very accurate in the resolution of various functional equations. Excellent results can be also obtained for what concerns preconditioning. Some analysis and numerous experiments, regarding the use of finite-differences preconditioners, for matrices arising from pseudospectral approximations of advection-diffusion boundary value problems, are presented and discussed, both in the case of Legendre and Chebyshev representation nodes.

Finite-Differences Preconditioners for Superconsistent Pseudospectral Approximations / L., Fatone; Funaro, Daniele; V., Scannavini. - In: MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE. - ISSN 0764-583X. - STAMPA. - 41:6(2007), pp. 1021-1039. [10.1051/m2an:2007052]

Finite-Differences Preconditioners for Superconsistent Pseudospectral Approximations

FUNARO, Daniele;
2007

Abstract

The superconsistent collocation method, which is based on a collocation grid different from the one used to represent the solution, has proven to be very accurate in the resolution of various functional equations. Excellent results can be also obtained for what concerns preconditioning. Some analysis and numerous experiments, regarding the use of finite-differences preconditioners, for matrices arising from pseudospectral approximations of advection-diffusion boundary value problems, are presented and discussed, both in the case of Legendre and Chebyshev representation nodes.
41
6
1021
1039
Finite-Differences Preconditioners for Superconsistent Pseudospectral Approximations / L., Fatone; Funaro, Daniele; V., Scannavini. - In: MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE. - ISSN 0764-583X. - STAMPA. - 41:6(2007), pp. 1021-1039. [10.1051/m2an:2007052]
L., Fatone; Funaro, Daniele; V., Scannavini
File in questo prodotto:
File Dimensione Formato  
mathmodnumeran.pdf

non disponibili

Tipologia: Post-print dell'autore (bozza post referaggio)
Dimensione 237.17 kB
Formato Adobe PDF
237.17 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/584312
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 1
social impact