Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations

Fausto Cavalli, G. Naldi, G. Puppo, M. Semplice

Risultato della ricerca: Contributo in libroContributo a convegno

Abstract

The application of Runge–Kutta schemes designed to enjoy a large region of absolute stability can significantly increase the efficiency of numerical methods for PDEs based on a method of lines approach. In this work we investigate the improvement in the efficiency of the time integration of relaxation schemes for degenerate diffusion problems, using SSP Runge–Kutta schemes and computing the maximal CFL coefficients. This technique can be extended to other PDEs, linear and nonlinear, provided the space operator has eigenvalues with a nonzero real part.
Lingua originaleEnglish
Titolo della pubblicazione ospiteHyperbolic Problems: Theory, Numerics, Applications
Pagine955-962
Numero di pagine8
DOI
Stato di pubblicazionePubblicato - 2008
EventoInternational Conference on Hyperbolic Problems - Lyon
Durata: 17 lug 200621 lug 2006

Convegno

ConvegnoInternational Conference on Hyperbolic Problems
CittàLyon
Periodo17/7/0621/7/06

Keywords

  • Diffusion equations

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