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EnglishThe 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]
| Autori: | |
| Titolo: | Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/978-3-540-75712-2_100 |
| Data di pubblicazione: | 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. |
| Lingua: | Inglese |
| Titolo del libro: | Hyperbolic Problems: Theory, Numerics, Applications |
| ISBN: | 978-3-540-75711-5 |
| Editore: | Springer Berlin Heidelberg |
| Nome del convegno: | International Conference on Hyperbolic Problems |
| Luogo del convegno: | Lyon |
| Data inizio evento: | 2006-07-17 |
| Data fine evento: | 2006-07-21 |
| Tipo di contributo: | Contributed paper |
| Citazione: | 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] |
| Appare nelle tipologie: | Paper, Selected paper, Contributed paper, Working paper, Poster, Poster paper, Comunicazione, Relazione (in volume) |
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