- Title: Optimization of pedestrian evacuation modelled by PDE
- Short description:
Pedestrian flow can be modelled with a nonlinear partial differential equation (PDE), whose solution gives the density along the path. The flux of people is a nonlinear function of the local density, project means some theory, implementation of a numerical method, simulation of traffic-flow situations and identification of the traffic-flow flux function from traffic movies.
Prerequisites: good grades in courses in mathematics (up to Kontinuerliga system) and numerical analysis
- Long description:
- Info: http://www.maths.lth.se/matematiklth/personal/diehl/MSc_project_pedestrian.pdf
- Contact: Stefan Diehl