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Numerical methods : simulations - 4PMBNM36

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  • Number of hours

    • Lectures : 5.25
    • Tutorials : 5.25
    • Laboratory works : 45.5
    • Projects : 0
    • Internship : 0
    ECTS : 3.0

Goals

Learn the most important numerical methods to solve ordinary differential equation and partial derivative equations in order to model physical phenomenon.

Contact David JAUFFRES

Content

  • Course presentation - An introduction to modelling. Learn basic programming with Matlab®. Lab sessions: 8H00.
  • Resolution of ordinary differential equations. Runge-Kutta methods. Lecture/tutorial: 1H30 - Lab sessions: 6H30.
  • Finite differences method: implicit / explicit scheme. Lecture/tutorial: 3H00 - Lab sessions: 9H00.
  • Linear system resolution (directs and iteratives methods). Lecture/tutorial: 1H30 - Lab session: 2H30.
  • Numerical integration: Newton-cotes - Gauss. Polynomial interpolation. Lecture/tutorial: 1H30 - Lab sessions: 6H30.
  • Finite elements method. Lecture/tutorial: 3H00 - Lab sessions: 13H00.


Prerequisites

Basic programming knowledge

Tests

Semester 7 - The exam is given in english only 

In person!
NORMAL SESSION:
DS theory + practice

Catch-up evaluation:
DS theory + practice
Duration: 4 hours
Documents allowed: all

CATCH-UP SESSION:
theoretical + practical DS
Duration: 4 hours
Documents allowed: all

-------------------------------------------------------------------------

In distance learning!
*NORMAL SESSION: *
DS theory + practice

Catch-up evaluation:
DS theory + practice
Duration: 4 hours
Documents allowed: all

CATCH-UP SESSION:
theoretical + practical DS
Duration: 4 hours
Documents allowed: all



session 1 condition normale : note de l'examen.

session 2 condition normale : note de l'examen.

session 1 condition confinement :

session 2 condition confinement :

Additional Information

Semester 7 - This course is given in english only EN

Curriculum->Engineering degree->Semester 7

Bibliography

  • William Bober, Chi-Tay Tsai, Oren Masory : "Numerical and analytical methods with MATLAB"
  • J. Rappaz, M. Picasso : "Introduction à l’analyse numérique"
  • 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 July 28, 2023

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