Numerical methods for differential equations. Numerical methods for ordinary differential equations : one step methods, multi steps methods, explicit and implicit methods, prediction correction methods. Notions of precision and stability are presented. Numerical methods to solve partial differential equations : finite difference method, finite volume method, finite element method.
the course of mathematic Knowledges : derivative of one variable function and of multiple variables functions, Taylor expansion of functions ; operations between matrices, matrix and vector ; linear system of equations and vectorial operators (gradient, divergence, curl).
This course brings 4.5 ECTS to students in UE 3Materials and numerical methods