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A Numerical Study of Variable Depth KdV Equations and Generalizations of Camassa-Holm-like Equations

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorDURUFLÉ, Marc
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorISRAWI, Samer
dc.date.accessioned2024-04-04T02:27:38Z
dc.date.available2024-04-04T02:27:38Z
dc.date.created2010
dc.date.issued2012
dc.identifier.issn0377-0427
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190035
dc.description.abstractEnIn this paper we study numerically the KdV-top equation and compare it with the Boussinesq equations over uneven bottom. We use here a finite-difference scheme that conserves a discrete energy for the fully discrete scheme. We also compare this approach with the discontinuous Galerkin method. For the equations obtained in the case of stronger nonlinearities and related to the Camassa-Holm equation, we find several finite difference schemes that conserve a discrete energy for the fully discrete scheme. Because of its accuracy for the conservation of energy, our numerical scheme is also of interest even in the simple case of flat bottoms. We compare this approach with the discontinuous Galerkin method
dc.language.isoen
dc.publisherElsevier
dc.title.enA Numerical Study of Variable Depth KdV Equations and Generalizations of Camassa-Holm-like Equations
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cam.2012.05.010
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Computational and Applied Mathematics
bordeaux.page4149-4165
bordeaux.volume236
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue17
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00454495
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00454495v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20and%20Applied%20Mathematics&rft.date=2012&rft.volume=236&rft.issue=17&rft.spage=4149-4165&rft.epage=4149-4165&rft.eissn=0377-0427&rft.issn=0377-0427&rft.au=DURUFL%C3%89,%20Marc&ISRAWI,%20Samer&rft.genre=article


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