ECTS
5 credits
Training Structure
College of Sciences
List of Courses
Choose one of the following two options:
Numerical Analysis 1
5 creditsAnalysis of EDP 1
5 credits
Numerical Analysis 1
ECTS
5 credits
Training Structure
College of Sciences
Description: Partial differential equations (PDEs) are now an essential mathematical tool for studying and understanding physical and biological phenomena. Their extreme complexity often makes them impossible to solve analytically, hence the need to use numerical solution methods.
This course is devoted to an introduction to EDPs, followed by their solution using well-known numerical methods such as the finite difference and finite volume methods. A section focused more on analysis—necessary for the introduction to the finite volume method—will be devoted to the analytical solution of scalar conservation laws. Four programming lab sessions will use simple examples to illustrate the scientific computing tools covered in class.
Analysis of EDP 1
ECTS
5 credits
Training Structure
College of Sciences
The construction of solutions to partial differential equations (PDEs) and the theoretical study of their qualitative behavior are based primarily on the use of results from analysis, particularly functional analysis. This course introduces key tools for solving PDEs from analytical or geometric perspectives. These tools will be applied in the study of several examples of PDEs representative of major classes of equations.