Ce cours contient les 7 premiers chapitres d'un cours donné aux étudiants bachelor de l'EPFL. Il est basé sur le livre "Introduction à l'analyse numérique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont décrits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question de la résolution numérique d'équations différentielles. Plus précisement, nous allons étudier les chapitres suivants du livre :
Analyse numérique pour ingénieurs
Gain insight into a topic and learn the fundamentals.
4.5
(106 reviews)
Intermediate level
Some related experience required
Flexible schedule
Approx. 36 hours
Learn at your own pace
87%
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Assessments
42 assignments
Taught in French
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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 différences finies pour approcher les dérivées premières et secondes.
What's included
10 videos6 assignments1 peer review1 plugin
Formules de quadrature. Poids et points d'intégration. Formules de Gauss.
What's included
10 videos6 assignments1 peer review1 plugin
Elimination de Gauss. Décomposition LU. Décomposition LL^T.
What's included
8 videos7 assignments2 peer reviews1 plugin
Equations non linéaires. Méthodes de point fixe. Méthode de Newton. Systèmes non linéaires.
What's included
10 videos7 assignments1 peer review1 plugin
Equations différentielles du premier ordre. Existence et unicité. Schémas d'Euler. Systèmes différentiels du premier ordre.
What's included
10 videos6 assignments1 peer review1 plugin
Un problème aux limites unidimensionnels linéaire. Méthode de différences finies. Un problème non linéaire.
What's included
7 videos3 assignments1 peer review1 plugin
Examen final (30% de la note)
What's included
1 assignment
Instructor
Instructor ratings
4.8 (6 ratings)
Offered by
Recommended if you're interested in Math and Logic
École Polytechnique
University of Illinois Urbana-Champaign
Johns Hopkins University
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4.5
106 reviews
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Showing 3 of 106
LL
5
Reviewed on Aug 16, 2016
Excellent cours avec des exemples concrets.
CH
4
Reviewed on Jan 20, 2017
Très bien fait pour se faire un rappel des bases de l'analyse numérique.
EB
5
Reviewed on Feb 16, 2017
Cours tres interessant sur ce sujet qui en devient passionnant. Par contre le niveau en mathematique est assez eleve.
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