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MACS 2 - Advanced Numerical Analysis Professors : Caroline Japhet and Pascal Omnes |
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This course is an introduction to the numerical approximation of partial differential equations using finite volume and finite element methods.
The program ins as follows :
- Presentation of some partial differential equations from physics
- Linear and nonlinear hyperbolic equations and systems of equations
- Finite volume schemes for hyperbolic equations: consistency, stability, entropic character
- Finite volume schemes for elliptic and parabolic equations
- Variational formulations of elliptic problems and the Lax-Milgram theorem
- Sobolev spaces
- Mathematical study of elliptic problems
- Finite element method
Handouts
Cours
Diapositives du cours, devoir et TD/TP corrigés : voir le site où a lieu le cours
References
- F. Cuvelier. Cours d’Analyse Numérique Elémentaire, MACS 1, 2020.