In this school, we will introduce differential equations as modeling tools in engineering (fluid dynamics, traffic flow) and bio-mathematical applications (coagulation, epidemics). We will discuss analytical properties of differential equations and their numerical solution.
The aim is to provide the basic tools that will allow the students to proceed to more theoretical subjects or venture into more concrete applications. Theoretical and numerical lectures will be given, with a particular attention being paid to numerical simulations using free scientific computing softwares such as Scilab or Python.
The school will be composed of three main components: The first one will consist in lecture-series, the second component will be a series of advanced talks involving internationally confirmed researchers, while the third pedagogical tool of the Cimpa school will be a program of mini-projects built around topics covered in the school. These projects will concentrate on constructing basic numerical solvers for specific applied problems.