Phelma Formation 2022

Numerical Methods - 4PMPNUM9

  • Number of hours

    • Lectures 13.0
    • Projects 0
    • Tutorials 13.0
    • Internship 0
    • Laboratory works 26.0

    ECTS

    ECTS 4.0

Goal(s)

Methods to solve various modeling problems (differential equations, partal derivative equations, optimisation, ...). Basic tools are presented (intégration, interpolation, system solving) but also more sophisticated methods (finite differences, finite elements, ...). Other discrete modeling methods are also envisaged (Monte Carlo, cellular automates, genetic algorithm).

LEVEL : School of engineering

Contact Raphael BOICHOT

Content(s)

  • Présentation, modelisation, Matlab (1)
  • Differential equations (2)
  • Integration / interpolation (1)
  • Finite différences (1)
  • Finite elements (3)
  • Solving systems (1)
  • Automates Cellulaires (1)
  • Monte Carlo method (1)
  • Optimisation (3)
  • Genetic algorithm (1)


Prerequisites

Mathematics and computer science of 1st year

Test

Contrôle continu (CC) + Examen sur PC (3h)

Calcule de la note : N = 25% CC + 75% DS



Examen sur PC 3 heures avec Matlab : 75%
Contrôle Continu : 25%

Additional Information

Course list
Curriculum->EPEE->Semester 7
Curriculum->Master->Semester 7

Bibliography

Une présentation de la méthode des Eléments Finis, Touzot G., Dhatt G. collection UTC, Maloine SA éditeur (1984).

Computational Materials Science, Raabe D., Wiley-VCH, Weinheim, 1998.
Numerical recipes : http://www.nr.com/