✦ LIBER ✦

Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study

✍ Scribed by P. Joly; J. Rodríguez

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 578 KB
Volume: 234
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.08.046

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✦ Synopsis

We investigate explicit higher order time discretizations of linear second order hyperbolic problems. We study the even order (2m) 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.

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