Linearly implicit schemes for convection-diffusion equations

Fausto Cavalli

Risultato della ricerca: Contributo in libroContributo a convegno


We present a family of schemes for the approximation of one dimensional convection-diffusion equations. It is based on a linearization technique that allows to treat explicitly the hyperbolic term and linearly implicitly the parabolic one. This avoids the parabolic stability constraint of explicit schemes, and does not require any non-linear solver for the implicit problem. We present several numerical simulations to show the effectiveness of the proposed schemes and to investigate their stability, convergence and accuracy. In particular, since the proposed schemes provide to be accurate for both smooth and non-smooth solutions, they turn out to be attractive for adaptivity
Lingua originaleEnglish
Titolo della pubblicazione ospiteHyperbolic Problems: Theory, Numerics, Applications
Numero di pagine9
Stato di pubblicazionePubblicato - 2013
EventoInternational Conference on Hyperbolic Problems - PADOVA -- ITA
Durata: 25 giu 201229 giu 2012


ConvegnoInternational Conference on Hyperbolic Problems


  • Partial differential equations


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