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).
Semester 5 - The exam is given in english only
This course brings 4.5 ECTS to students in UE 3Materials and numerical methods
This course brings 4.0 ECTS to students in UE Modelling tools & Materials S7