CoSy-seminar with Francesco Ferranti

Everyone is welcome and the first 40 people to register will be treated to a free lunch sandwich. If you do not want lunch, you are still welcome to join.

Abstract: Neutral delay differential equations (NDDEs) arise in dynamical systems where both the state variables and their derivatives depend on delayed values. Such equations appear naturally in a variety of physical phenomena involving propagation delays, feedback mechanisms, and memory effects. NDDEs occur in many other scientific and engineering contexts, such as circuits, electromagnetic systems, control of systems with delays, as well as models in biology and finance where delayed responses influence the rate of change of the system. Complex systems are described by NDDEs with a large number of states, which makes simulation, design, and control very challenging. Model order reduction techniques (MOR) are very useful to generate equations with a reduced order while preserving accuracy in representing the behavior of the original system. While MOR techniques are established in the domain of ordinary differential equations, MOR for NDDEs is still an area of ongoing research due to additional challenges introduced by delayed terms. Another challenge that arises in various fields is the need to manage multiscale simulations. For example, this is particularly relevant in applications such as metasurfaces for imaging, where there is a need to effectively interface nanoscale and macroscale domains for simulation and design. This talk will cover recent advancements and challenges in model order reduction for NDDEs and multiscale equations in different applications such as high speed interconnects and endoscopy.