[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-965842","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Analyse th\u00e9orique et num\u00e9rique des syst\u00e8mes hyperboliques\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          5\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemester:\n          Semestre 1\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ELecture:\u003C\/span\u003E\n                                      \u003Cspan\u003E30\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                                                        \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EFran\u00e7ais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EConnaissances de math\u00e9matiques g\u00e9n\u00e9rales et d\u2019\u00e9quations aux d\u00e9riv\u00e9es partielles.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cul\u003E\n\u003Cli\u003EHyperbolicit\u00e9 des syst\u00e8mes lin\u00e9aires et non lin\u00e9aires, motivation et exemples\u003C\/li\u003E\n\u003Cli\u003EAnalyse des \u00e9quations scalaires non lin\u00e9aires, entropies, th\u00e9or\u00e8me de Krushkov\u003C\/li\u003E\n\u003Cli\u003EAnalyse num\u00e9rique des \u00e9quations scalaires : sch\u00e9mas monotones\u003C\/li\u003E\n\u003Cli\u003EOndes simples pour les syst\u00e8mes : ondes de d\u00e9tente et invariants de Riemann, ondes de choc et ensemble de Rankine-Hugoniot, discontinuit\u00e9s de contact\u003C\/li\u003E\n\u003Cli\u003ETh\u00e9or\u00e9me de Lax, r\u00e9solution du probl\u00e8me de Riemann pour les syst\u00e8mes non lin\u00e9aires et application au syst\u00e8me de la dynamique des gaz\u003C\/li\u003E\n\u003Cli\u003EM\u00e9thode des volumes finis, sch\u00e9ma de Godunov\u003C\/li\u003E\n\u003Cli\u003EFormalisme de Harten, Lax et van Leer, sch\u00e9mas de Godunov associ\u00e9s\u003C\/li\u003E\n\u003Cli\u003EM\u00e9thodes de relaxation\u003C\/li\u003E\n\u003Cli\u003EAspects multidimensionnels, prise en compte des termes source et des conditions aux limites\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003ECe cours est consacr\u00e9 \u00e0 l\u2019analyse th\u00e9orique et \u00e0 l\u2019approximation num\u00e9rique par la m\u00e9thode des volumes finis des solutions des syst\u00e8mes hyperboliques lin\u00e9aires et non lin\u00e9aires.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                                \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EE. Godlewski, P.A. Raviart, Numerical approximation of hyperbolic systems of conservation laws, Springer, New York (1996).\nE. Toro, Riemann solvers and numerical methods for fluid dynamics, Springer, Berlin (1999).\nR. LeVeque, Finite volume methods for hyperbolic problems, Cambridge University Press (2002).\nB. Despr\u00e9s, F. Dubois, Syst\u00e8mes hyperboliques de lois de conservation. Application \u00e0 la dynamique des gaz, Editions de l\u2019Ecole Polytechnique (2005).\nC. Dafermos, Hyperbolic Conservation Laws in Continuum Physics, Springer, Berlin (2005).\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]