Duration: 21 hours
ECTS Credits: 2
Computational solution to Partial Differential Equations and applications
Person(s) in charge:
Xavier ANTOINE, Professor, email@example.com
Keywords: Partial differential Equations, Numerical Methods, Finite differences, Finite Elements
Prerequisites: the partial differential equations course. Basic knowledge in numerical analysis and MATLAB would be helpful.
Objective:Give an introduction to the numerical solution of Partial Differential Equations arising in many applied sciences and engineering problems
Program and contents:
The goal of this course is to give an introduction to the numerical solution of Partial Differential Equations arising in many applied sciences and engineering problems. We mainly focus on Finite Element Methods as well as Finite Difference Methods. We develop different applications for the solution of equations related to engineering problems. Some examples are related to wave equations, heat equations, elliptic equations, models coming from financial mathematics, two-dimensional problems… A large part of the course is to explain how to concretely develop a professional finite element or finite difference code. Examples will be considered in Matlab using e.g. the dedicated PDE Toolbox.
Description and operational verbs
Gestion des contenus