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.
https://hal.archives-ouvertes.fr/hal-00768332
Contributeur : Caterina Calgaro
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Soumis le : vendredi 21 décembre 2012 - 15:37:52
Dernière modification le : lundi 26 février 2018 - 21:24:55
Document(s) archivé(s) le : vendredi 22 mars 2013 - 03:47:18
