Partial differential equations and numerical methods
6 ECTS, CM 16.5h, TD 16.5h, TP 16.5h
Eric Blayo, Ibrahim Cheddadi, Emmanuelle Crépeau, Martin Schreiber
Give an overview of modelling using partial differential equations.
Types of equations, conservation laws
Finite differences methods
Parabolic equations (diffusion)
Hyperbolic equations (propagation)
Non linear hyperbolic equations
This course include practical sessions.
3ECTS = Lecture 16.5h + Lab 16.5h - Course Joined with Ensimag 2A 4MMMEDPS
3ECTS = Lecture 16.5h + Lab 1.5h - MSIAM specific course (in-depth and practical session)
1/2 practical 1/2 final written exam
Basic notions of real analysis, including Taylor formula, functions of several real variables and partial derivatives Methods for solving first order ordinary differential equations (linear case, variation of constants method, separable ODEs…) Basic notions on Fourier series and Fourier transform