Phelma Formation 2022

Numerical methods - 4PMMNUM9

  • Number of hours

    • Lectures 15.0
    • Projects 0
    • Tutorials 15.0
    • Internship 0
    • Laboratory works 34.0

    ECTS

    ECTS 4.5

Goal(s)

This course aims to solve numerically different problems associated to the modelling in physics (ordinary differential equations, partial differential equations, optimisation, ...). Numerical Tools (integration, interpolation, solving systems of equations) as well methods (Finite Difference method, Finite Element Method, ...) are presented. Discrete modelling techniques are also introduced (Monte Carlo, Cellular Automata, genetic algorithms ...).

Contact Remy DENDIEVEL

Content(s)

  • Introduction to Matlab
  • Ordinary Differential Equation (stability, prediction/correction, error control ...)
  • Finite Differences (explicit, implicit schemes ...)
  • Numerical Interpolation ; Numerical Integration
  • Finite Element Methods (projective approach, weak form, meshing)
  • System solving (direct methods, iterative methods, gradient or descent method)
  • Optimisation
  • Monte Carlo method


Prerequisites

Test

september to january (4 hours per week)
Closed-book Final Exam : Theoretical and Practical
Documents authorized.

TO SEE FICHE 2A-SIM 4PMMNUM9



Additional Information

Course list
Curriculum->Engineering degree->Semester 7

Bibliography


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