UE Partial differential equations and numerical methods

Degrees incorporating this pedagocial element :

Organisation of education :

Description

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.

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

Recommended prerequisite

Basic notions of real analysis, including Taylor formula, functions of several real variables and partial derivatives Methods for solving first order ordinary differential equations (linear case, variation of constants method, separable ODEs…) Basic notions on Fourier series and Fourier transform

Targeted skills

Modeling of systems using PDE.

Numerical resolution.

Theoretical study.

Knowledge assessment methods

Session 1 ou session unique - Contrôle des connaissances

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

Session 2 - Contrôle des connaissances

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