UE Partial differential equations and numerical methods

Degrees incorporating this pedagocial element :

Description

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.

Prerequisites

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

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

Targeted skills

Modeling of systems using PDE.

Numerical resolution.

Theoretical study.

Knowledge assessment methods

Session 1 or single session - Knowledge testing

Type of teaching providedMethodTypeDuration (min)Coefficient
Teaching Unit (UE)CT Written - supervised work120100/100

Session 2 - Knowledge testing

Type of teaching providedMethodTypeDuration (min)Coefficient
Teaching Unit (UE)CT Written or Oral100/100