Day and hour: Wednesday, 16 October 2024, from 14:15 to 16:15 – Room 1.4, building VII.
Day and hour: Friday, 18 October 2024, from 14:15 to 16:15 – Room 3.2, building VII.

 

We will consider how to solve delay differential equations and fractional differential equations using numerical schemes. To understand how to do this, we will begin by considering the fundamental theory associated with these equations. We look at the dimension of the underlying dynamical systems to explain how approximation schemes should be set up, and how their performance should be judged. In particular, we shall look at initial and boundary conditions needed to ensure a unique solution and we will see how these must be related to the numerical schemes. If time permits, we shall consider some fractional problems with delays and see how the insights from both types of problems combine in this case.