Description

◦      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.

Compétences visées

Apprendre les méthodes numériques

Maitriser les bases des outils

Assimiler les fondamentaux disciplinaires

Apprendre et maitriser les modèles

Contacts

Responsable(s) de l'enseignement

• Christophe Prud'Homme