On numerical integrators for state-dependent delay equations

Series
Dynamical Systems Working Seminar
Time
Friday, June 21, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 317
Speaker
Joan Gimeno – Universitat de Barcelona (BGSMath) – joan@maia.ub.es
Organizer
Yian Yao
Abstract: Many real-life phenomena in science can be modeled by an Initial Value Problem (IVP) for ODE's. To make the model more consistent with real phenomenon, it sometimes needs to include the dependence on past values of the state. Such models are given by retarded functional differential equations. When the past values depend on the state, the IVP is not always defined. Several examples illustrating the problems and methods to integrate IVP of these kind of differential equations are going to be explained in this talk.