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Runge-Kutta Residual Distribution Schemes

hal.structure.identifierSchool of Computing [Leeds]
dc.contributor.authorWARZYNSKI, Andrzej
hal.structure.identifierSchool of Computing [Leeds]
dc.contributor.authorHUBBARD, Matthew
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-15T09:42:56Z
dc.date.available2024-04-15T09:42:56Z
dc.date.issued2013-09-24
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/197722
dc.description.abstractEnWe are concerned with the solution of time-dependent nonlinear hyperbolic partial differential equations. We investigate the combination of residual distribution methods with a consistent mass matrix (discretisation in space) and a Runge-Kutta-type time stepping (discretisation in time). The introduced nonlinear blending procedure allows us to retain the explicit character of the time stepping procedure. The resulting methods are second order accurate provided that both spatial and temporal approximations are. The proposed approach results in a global linear system that has to be solved at each time-step. An efficient way of solving this system is also proposed. To test and validate this new framework, we perform extensive numerical experiments on a wide variety of classical problems.
dc.language.isoen
dc.typeRapport
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
bordeaux.hal.laboratoriesLaboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionINRIA
bordeaux.type.reportrr
hal.identifierhal-00865154
hal.version1
hal.audienceNon spécifiée
dc.title.itRunge-Kutta Residual Distribution Schemes
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00865154v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2013-09-24&rft.au=WARZYNSKI,%20Andrzej&HUBBARD,%20Matthew&RICCHIUTO,%20Mario&rft.genre=unknown


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