Modelling tools & AI techniques in materials science - 4PMNXMT3

Goal(s)

Know how to write a program to solve a system of linear or non-linear partial differential equations.
Know basic methods for integration, interpolation and solving linear systems.

Content(s)

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).