Analyse numériqueMathématiques et Informatique 6 (MRI)

The study of numerical diagrams for numerical resolution of the three large classes of partial derivative equations: elliptical, parabolic and hyperbolic. To enable the engineer student to write an algorithm to digitize a scientific problem, analyse the convergence of an algorithm and study the stability of a numerical schema for systems modelled by EDPs.

Differential calculation and linear algebra

Iterative methods of resolution of linear systems, The numerical resolution methods of partial derivative equations, The method of finite differences; by discretizing differential operators: (used if the geometry of the definition field is simple: a right segment, or a rectangle), stability analysis for L2 standard using Fourier transform and stability for standard 1 The finite element method; by approximation of the solution: (allows to treat more complex geometric shapes).

Final review, authorized course documents and TDs, not authorized calculator.

Sibony, Moses; Mardon, Jean Claude, "Digital analysis. 1, Linear and non-linear systems", Hermann. Jolivet, Luc; Labbas, Rabah, "Analysis and numerical analysis: reminder of courses and corrected exercises", Hermes science publ. Ciarlet, Philippe G., "Introduction to matrix numerical analysis and optimization", Masson.

Rappaz, Jacques; Picasso, Marco, "Introduction à l'analyse numérique", Presses polytechniques et universitaires romandes.