{"id":6019,"date":"2022-02-03T08:22:43","date_gmt":"2022-02-03T07:22:43","guid":{"rendered":"https:\/\/lyon-geologie.univ-lyon1.fr\/?page_id=6019"},"modified":"2023-01-17T11:52:58","modified_gmt":"2023-01-17T10:52:58","slug":"m1_model_num","status":"publish","type":"page","link":"https:\/\/lyongeologie.fr\/en\/m1-geosciences\/m1_model_num\/","title":{"rendered":"M1 M\u00e9thodes num\u00e9riques"},"content":{"rendered":"
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Numerical Methods
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3 Credits<\/em><\/p>

Contact: Fabien DUBUFFET<\/a>
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tBack to the previous page<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Objectifs p\u00e9dagogiques<\/u><\/strong> :<\/strong>\u00a0<\/strong><\/p>

L’\u00e9tudiant sera \u00e0 m\u00eame de r\u00e9soudre des probl\u00e8mes num\u00e9riques simples en science de la Terre. Il disposera des \u00e9l\u00e9ments de base pour modifier et construire des codes num\u00e9riques plus g\u00e9n\u00e9raux.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Contenu des cours (14h) <\/u><\/strong>:<\/strong><\/p>

    • Diff\u00e9rences finies et volumes finis :
        • S\u00e9ries de Taylor – approximation et ordre de pr\u00e9cision<\/li>
        • Crit\u00e8re de stabilit\u00e9 – application au sch\u00e9ma d’Euler explicite et implicite, sch\u00e9ma de Crank-Nicolson, et sch\u00e9ma aux directions altern\u00e9es<\/li>
        • \u00c9quation modifi\u00e9e: dissipation et dispersion des ondes<\/li>
        • Applications aux \u00e9quations paraboliques et hyperboliques<\/li><\/ul><\/li><\/ul><\/li>
        • \u00c9l\u00e9ments finis : principes et exemples d\u2019application<\/li>
        • M\u00e9thodes aux \u00e9l\u00e9ments discrets : principes et exemples d\u2019application<\/li><\/ul><\/li><\/ul>

          Travaux Pratiques (16h)<\/u> : <\/strong>R\u00e9soudre un probl\u00e8me en mettant en \u0153uvre une ou plusieurs m\u00e9thodes pr\u00e9sent\u00e9es en cours. V\u00e9rifier \u00e0 post\u00e9riori la pr\u00e9cision de ce mod\u00e8le.<\/p>

          Modalit\u00e9 d\u2019\u00e9valuation<\/u><\/strong> : <\/strong>CT \u00e9crit et CC (note des travaux pratiques)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"

          M\u00e9thodes Num\u00e9riques Cr\u00e9dits : 3 ECTS Responsable : Fabien DUBUFFET Retour \u00e0 la liste des UEs Objectifs p\u00e9dagogiques :\u00a0 L’\u00e9tudiant sera \u00e0 m\u00eame de r\u00e9soudre des probl\u00e8mes num\u00e9riques simples en science de la Terre. Il disposera des \u00e9l\u00e9ments de base pour modifier et construire des codes num\u00e9riques plus g\u00e9n\u00e9raux. Contenu des cours (14h) : Diff\u00e9rences […]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":511,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-6019","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/6019","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/comments?post=6019"}],"version-history":[{"count":23,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/6019\/revisions"}],"predecessor-version":[{"id":16317,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/6019\/revisions\/16317"}],"up":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/511"}],"wp:attachment":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/media?parent=6019"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}