Palacios Latasa, Manuel PedroTrujillo, DavidTorrens Iñigo, Juan JoséMadaune-Tort, MoniqueLópez de Silanes Busto, María CruzSanz Sáiz, Gerardo2015-12-152015-12-152003Chacón Rebollo, T., Domínguez Delgado, A., y Fernández Nieto, E.D. (2003). Well-balanced Finite Volume schemes: some stability and convergence results. En M.P. Palacios Latasa, D. Trujillo, J.J. Torrens Iñigo, M. Madaune-Tort, M.C. López de Silanes Busto, G. Sanz Sáiz (Ed.), VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques :Jaca, Spain, September 15-17, 2003 .Universidad de Zaragoza.8477337209http://hdl.handle.net/11441/31970We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems of Conservation Laws. These are specific solvers, recently introduced, that balance all steady solutions up to second order of accuracy by means of an additional numerical source term. We prove the stability and convergence of some of these solvers for scalar hyperbolic equations under reasonable conditions on the additional term.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Finite Volumeswell-balanced solversstabilityconvergenceinfo:eu-repo/semantics/bookPartinfo:eu-repo/semantics/openAccesshttps://idus.us.es/xmlui/handle/11441/31970