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Journal articles
Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study
Abstract : We investigate explicit higher order time discretizations of linear second order hyperbolic problems. We study the even order (2m2m) schemes obtained by the modified equation method. We show that the corresponding CFL upper bound for the time step remains bounded when the order of the scheme increases. We propose variants of these schemes constructed to optimize the CFL condition. The corresponding optimization problem is analyzed in detail. The optimal schemes are validated through various numerical results.
https://hal-ensta-paris.archives-ouvertes.fr//hal-00976330
Contributor : Aurélien Arnoux Connect in order to contact the contributor
Submitted on : Wednesday, April 9, 2014 - 4:59:50 PM
Last modification on : Thursday, January 14, 2021 - 11:56:04 AM
Contributor : Aurélien Arnoux Connect in order to contact the contributor
Submitted on : Wednesday, April 9, 2014 - 4:59:50 PM
Last modification on : Thursday, January 14, 2021 - 11:56:04 AM
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