- Cours (CM) 18h
- Cours intégrés (CI) -
- Travaux dirigés (TD) 18h
- Travaux pratiques (TP) -
- Travail étudiant (TE) -
Langue de l'enseignement : Anglais
Description du contenu de l'enseignement
Content (16h CM, 8h TD):
- Numerical resolution of linear systems of equations: direct methods (LU, Cholesky), iterative methods (Jacobi, Gauss-Seidel, relaxation, Krylov spaces, conjugate gradient). Sparse matrices.
- Numerical resolution of non-linear systems of equations : Picard’s iterations, Newton and quasi Newton methods.
- Numerical resolution of differential equations. One-step methods (Runge-Kutta). Multi-step methods. Stability notions.
- Stiff problems, implicit methods.
- Programming langage : C/C++ ; python.
Compétences à acquérir
Objectives:
Skills to acquire:
- Being able to write a simple program.
- Being able to solve a system of linear equation.
Skills to acquire:
- choose the numerical resolution technique best suited to solve a given engineering problem.
- know how to use numerical techniques.
- understand how numerical tools work.
Contact
Faculté de physique et ingénierie
3-5, rue de l'Université67084 STRASBOURG CEDEX
Formulaire de contact
Responsable
Yannick Hoarau
Intervenants
Christophe Prud'Homme