School of Science and Engineering
Sigurður Freyr Hafstein, dr. rer. nat.
Professor for applied mathematics
Telephone: +354 599 6325
Workshop: Algorithms for Dynamical Systems and Lyapunov Functions
At Reykjavik University 17.7-19.7.2013. For more information click on the link on the left.
I have mainly worked on two quite different subjects.
First, I designed and programmed a traffic-simulator that is used to estimate and forecast the traffic-load on the autobahn-network in North Rhine - Westphalia (NRW), which is the most populous German federal-state. The simulator gets real-time traffic-data every minute from more than 4,000 loop-detectors that are installed on the streets. This data is used to estimate the traffic- load on the autobahn network (> 12,000 km street-lanes) and to forecast future traffic-loads. The former minister of transport in NRW, Dr. Axel Horstmann, opened the webpage www.autobahn.nrw.de to the public in September 2002. There the simulated traffic-load and traffic-forecasts for 30 and 60 minutes, generated by the simulator, are presented. In 2003 I got the Heinz-Billing Prize of the Max-Planck Institute for my work on this project.
Second, I have been studying the stability of solutions to ordinary differential equations. Especially, I designed an algorithm that uses linear programming to generate non-local CPA Lyapunov-functions for uniformly asymptotically stable (UAS) equilibria. Lyapunov-functions are the generalization of the physical concept "energy" to general ODEs.