Level
Baccalaureate +4
ECTS
6 credits
Component
UFR IM2AG (informatique, mathématiques et mathématiques appliquées)
Semester
Automne
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.
Objectives
The aim of this cours is to give an overview of modelling using partial differential equations.
Course parts
- TDTutorials (TD)16,5h
- TPPractical work (TP)16,5h
- CMLectures (CM)16,5h
Recommended prerequisites
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
Period
Semester 7
Évaluation initiale / Session principale - Épreuves
| Libellé | Nature de l'enseignement | Type d'évaluation | Nature de l'épreuve | Durée (en minutes) | Nombre d'épreuves | Coefficient de l'épreuve | Remarques |
|---|---|---|---|---|---|---|---|
| Teaching Unit (UE) | CT | Written - supervised work | 120 | 100/100 |
Seconde chance / Session de rattrapage - Épreuves
| Libellé | Nature de l'enseignement | Type d'évaluation | Nature de l'épreuve | Durée (en minutes) | Nombre d'épreuves | Coefficient de l'épreuve | Remarques |
|---|---|---|---|---|---|---|---|
| Teaching Unit (UE) | CT | Written or Oral | 100/100 |
Additional information
UE portée par l'ENSIMAG.
Nécessite de prendre conjointement l'UE Partial differential equations and numerical methods 2
Skills
Modeling of systems using PDE.
Numerical resolution.
Theoretical study.