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Our engineering & Master degrees
Our engineering & Master degrees

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Numerical methods - 4PMGMMU9

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  • Number of hours

    • Lectures : 16.0
    • Tutorials : 8.0
    • Laboratory works : 32.0
    • Projects : ?
    • Internship : ?
    ECTS : 4.0
Content

In units of 4h as lecture/excercises/computer lab)

Course presentation - Introduction to scientific modelling - Introduction to Matlab (computer lab, 4h)
Solving ODEs, discrete step methods (2h lecture, 2h excercise, 4h computer lab)
Numerical integration: Newton-Cotes, Gauss, polynomial interpolation (2h lecture, 2h excercise, 4h computer lab)
Resolution of linear systems (direct and iterative methods) and non-linear systems. (2h lecture, 2h lab)
Finite Difference Method: Implicit/explicit scheme, Von Neumann stability (2h lecture, 2h excercises, 8h computer lab)
Finite Element Method: Nodal / Edge Elements (4h lecture, 4h excercise, 12h computer lab)



Prerequisites

Tests

Lecture, exercises and computer lab are being held in the same computer room using workstations. Matlab will be used as programming language. Course language: French.



Additional Information

Curriculum->GEN->Semester 7

Bibliography

P. LASCAUX & R. THEODOR : "Analyse numérique appliquée à l'art de l'ingénieur", Edition Masson, 2 tomes
G. DHATT & G. TOUZOT : "Une présentation de la méthode des éléments finis", Edition Maloine S.A., 2ème édition 1984
B. LUCQUIN & O. PIRONNEAU : "Introduction au calcul scientifique", Edition Masson, 1996

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Date of update March 13, 2019

Grenoble INP Institut d'ingénierie Univ. Grenoble Alpes