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.

Cavalli, F., Naldi, G., Puppo, G., Semplice, M., Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations, Contributed paper, in Hyperbolic Problems: Theory, Numerics, Applications, (Lyon, 17-21 July 2006), Springer Berlin Heidelberg, Berlin Heidelberg 2008: 955-962. 10.1007/978-3-540-75712-2_100 [http://hdl.handle.net/10807/85649]

Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations

Cavalli, Fausto
Primo
;
2008

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.
Inglese
Hyperbolic Problems: Theory, Numerics, Applications
International Conference on Hyperbolic Problems
Lyon
Contributed paper
17-lug-2006
21-lug-2006
978-3-540-75711-5
Springer Berlin Heidelberg
Cavalli, F., Naldi, G., Puppo, G., Semplice, M., Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations, Contributed paper, in Hyperbolic Problems: Theory, Numerics, Applications, (Lyon, 17-21 July 2006), Springer Berlin Heidelberg, Berlin Heidelberg 2008: 955-962. 10.1007/978-3-540-75712-2_100 [http://hdl.handle.net/10807/85649]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/85649
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