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Séparation des échelles et schémas multiniveaux pour les équations d'ondes non-linéaires
Abstract : In this work, we point out and apply some ideas for the numerical simulation by multi- level schemes of several wave equations including dispersive (Korteweg de Vries) and dissipative ones (Kuramoto-Sivashinski). We start from the approach developed for dissipative equations decomposing the solution into large (Y) and small (Z) scales, and we show that it is necessary to have a regularization in time to allow stable numerical treatment of Y and Z which are here generated using hierarchical processes such as Wavelets, Incremental Unknowns or Fourier.
Cited literature [23 references]
https://hal.archives-ouvertes.fr/hal-00768332
Contributor : Caterina Calgaro Connect in order to contact the contributor
Submitted on : Friday, December 21, 2012 - 3:37:52 PM
Last modification on : Friday, August 5, 2022 - 11:23:13 AM
Long-term archiving on: : Friday, March 22, 2013 - 3:47:18 AM
Contributor : Caterina Calgaro Connect in order to contact the contributor
Submitted on : Friday, December 21, 2012 - 3:37:52 PM
Last modification on : Friday, August 5, 2022 - 11:23:13 AM
Long-term archiving on: : Friday, March 22, 2013 - 3:47:18 AM
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esaim_proc_2009_v27.pdf
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