The paper is devoted to the numerical solution of advection–diffusion problems of Boussinesq type, by means of adapted numerical methods. The adaptation occurs at two levels: along space, by suitably semidiscretizing the spatial derivatives through finite differences based on exponential fitting; along time integration, through an adapted IMEX method based on exponential fitting itself. Stability analysis is provided and numerical examples showing the effectiveness of the approach, also in comparison with the classical one, are given.
Exponentially fitted IMEX methods for advection–diffusion problems
CARDONE, Angelamaria;D'AMBROSIO, RAFFAELE
;PATERNOSTER, Beatrice
2017
Abstract
The paper is devoted to the numerical solution of advection–diffusion problems of Boussinesq type, by means of adapted numerical methods. The adaptation occurs at two levels: along space, by suitably semidiscretizing the spatial derivatives through finite differences based on exponential fitting; along time integration, through an adapted IMEX method based on exponential fitting itself. Stability analysis is provided and numerical examples showing the effectiveness of the approach, also in comparison with the classical one, are given.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
ef IMEX post-print.pdf
Open Access dal 16/11/2018
Descrizione: articolo post-print
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Creative commons
Dimensione
914.32 kB
Formato
Adobe PDF
|
914.32 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
