Increasing efficiency through optimal RK time integration of diffusion equations
Contributo in Atti di convegno
Data di Pubblicazione:
2008
Citazione:
Increasing efficiency through optimal RK time
integration of diffusion equations / F. Cavalli, G. Naldi, G. Puppo, M. Semplice - In: Hyperbolic problems : theory, numerics and applications / [a cura di] D. Serre, S. Benzoni-Gavage. - Berlin : Springer-Verlag, 2008. - ISBN 9783540757115. - pp. 955-962 (( Intervento presentato al 11. convegno 11 International Conference on Hyperbolic Problems : Theory, Numerics, Applications tenutosi a Lyon nel 2006 [10.1007/978-3-540-75712-2].
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 coeffcients. This technique can be extended to other PDEs, linear and nonlinear, provided the space operator has eigenvalues with a non-zero real part.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
degenerate diffusion equations ; relaxation ; SSPRK schemes
Elenco autori:
F. Cavalli, G. Naldi, G. Puppo, M. Semplice
Link alla scheda completa:
Titolo del libro:
Hyperbolic problems : theory, numerics and applications