UE Partial differential equations and numerical methods

Diplômes intégrant cet élément pédagogique :

Descriptif

The aim of this cours is to give an overview of modelling using partial differential equations.

Contents:

  • Types of equations, conservation laws
  • Finite differences methods
  • Laplace equation
  • Parabolic equations (diffusion)
  • Hyperbolic equations (propagation)
  • Non linear hyperbolic equations

This course include practical sessions.

This is a two parts course, this part is the course mutualized with Ensimag 2A 4MMMEDPS.

Pré-requis

Differential equations from L1/L2/L3 mathematics/applied mathematics.

Knowledge of one programing language for scientific computation (Matlab, Scilab, Octave, Python...)

Compétences visées

Modeling of systems using PDE.

Numerical resolution.

Theoretical study.

Modalités de contrôle des connaissances

Session 1 ou session unique - Contrôle de connaissances

NatureTypeNature d'évaluationDurée (min)Coeff.
UECT Ecrit - devoir surveillé120100/100

Session 2 - Contrôle de connaissances

NatureTypeNature d'évaluationDurée (min)Coeff.
UECT Ecrit ou Oral100/100

Informations complémentaires

Langue(s) : Anglais