Chapter of Book
Well-balanced Finite Volume schemes: some stability and convergence results
Author/s | Chacón Rebollo, Tomás
Domínguez Delgado, Antonio Fernández Nieto, Enrique Domingo |
Editor | Palacios Latasa, Manuel Pedro
Trujillo, David Torrens Iñigo, Juan José Madaune-Tort, Monique López de Silanes Busto, María Cruz Sanz Sáiz, Gerardo |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2003 |
Deposit Date | 2015-12-15 |
Published in |
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ISBN/ISSN | 8477337209 |
Abstract | We 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 ... We 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. |
Citation | Chacón 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. |
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