Ce cours contient les 7 premiers chapitres d'un cours donn茅 aux 茅tudiants bachelor de l'EPFL. Il est bas茅 sur le livre "Introduction 脿 l'analyse num茅rique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont d茅crits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question de la r茅solution num茅rique d'茅quations diff茅rentielles. Plus pr茅cisement, nous allons 茅tudier les chapitres suivants du livre :
Analyse num茅rique pour ing茅nieurs
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4.5
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Intermediate level
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Approx. 36 hours
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42 assignments
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There are 8 modules in this course
Interpolation de Lagrange. Interpolation par intervalles.
What's included
9 videos6 assignments1 peer review1 plugin
Formules de diff茅rences finies pour approcher les d茅riv茅es premi猫res et secondes.
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10 videos6 assignments1 peer review1 plugin
Formules de quadrature. Poids et points d'int茅gration. Formules de Gauss.
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10 videos6 assignments1 peer review1 plugin
Elimination de Gauss. D茅composition LU. D茅composition LL^T.
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8 videos7 assignments2 peer reviews1 plugin
Equations non lin茅aires. M茅thodes de point fixe. M茅thode de Newton. Syst猫mes non lin茅aires.
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10 videos7 assignments1 peer review1 plugin
Equations diff茅rentielles du premier ordre. Existence et unicit茅. Sch茅mas d'Euler. Syst猫mes diff茅rentiels du premier ordre.
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10 videos6 assignments1 peer review1 plugin
Un probl猫me aux limites unidimensionnels lin茅aire. M茅thode de diff茅rences finies. Un probl猫me non lin茅aire.
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7 videos3 assignments1 peer review1 plugin
Examen final (30% de la note)
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1 assignment
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CH
4
Reviewed on Jan 21, 2017
Tr猫s bien fait pour se faire un rappel des bases de l'analyse num茅rique.
LL
5
Reviewed on Aug 17, 2016
Excellent cours avec des exemples concrets.Je recommande fortement ce cours pour tout ing茅nieur ayant 脿 r茅soudre des syst猫mes lin茅aires ou non.
FM
5
Reviewed on Oct 30, 2020
Cours tr猫s int锚ressant avec une bonne progression et des quizz et probl猫mes bien adapt茅s.Merci Beaucoup!!
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