Numerical methods for evolution problems (SEM)

Informations générales

  • ECTS

    ECTS 2

Goal(s)

Initiation to the resolution of evolution problems, defined by partial differential equations (hyperbolic or parabolic):
- First principles of numerical methods to solve these specific problems. Example of traffic jam equation and advecito-diffusion equation
- Discussion on benefits and limits of Numerical resolution
- Practical Labworks

Content(s)

Course :
- Traffic jam (hyperbolic model)
- Method of Characteristics
- Conventionnal, weak and entropic solutions
- Discrete resolution using conservative scheme
- Dissipative scheme
- advection-diffusion
- Centered and non centered scheme
- Implicit method
- Multidimensionnal extension

BE :
Labworks usiong Matlab, Scilab...

Prerequisites :
Numerical Method 1st year (classifiation of PDE, finite differences)
Programming 1st year
Fluid mechanics 1st year

Test

Lab report

Calendar

S1

Additional Information

26h = 10 h CM + 16 h BE

Bibliography

Euvrard D., « Résolution numérique des équations aux dérivées partielles », Masson, Paris (1994).
Danaila I. et al, « Introduction au calcul scientifique par la pratique », Dunod, Paris (2005).

French State controlled diploma conferring a Master's degree

diplôme conférant grade de master contrôlé par l'Etat