Number of hours
- Lectures 20.0
- Projects 0
- Tutorials 24.0
- Internship 0
- Laboratory works 0
ECTS
ECTS 4.0
Goal(s)
Master the main methods for solving differential equations and partial differential equations, for the modeling of physical phenomena.
Course overview – Introduction to modeling – Introduction to MATLAB.
Solving differential equations. Single-step and multi-step methods.
Numerical integration: Newton-Cotes – Gauss. Polynomial interpolation.
Solving linear (direct and iterative methods) and nonlinear systems.
Finite difference method: implicit / explicit schemes. Von Neumann stability.
Finite element method: nodal-based.
Contact Jean-Christophe TOUSSAINT, Nicolas CAPELLAN, Olivier DOCHEContent(s)
Prerequisites
Test
Bibliography
P. LASCAUX & R. THEODOR : "Analyse numérique appliquée à l'art de l'ingénieur", Edition Masson, 2 tomes
G. DHATT & G. TOUZOT : "Une présentation de la méthode des éléments finis", Edition Maloine S.A., 2ème édition 1984
B. LUCQUIN & O. PIRONNEAU : "Introduction au calcul scientifique", Edition Masson, 1996