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BEGIN:VEVENT
DTSTAMP:20260626T161035Z
DTSTART;VALUE=DATE-TIME:20090720T140000
DTEND;VALUE=DATE-TIME:20090720T150000
SUMMARY:Seminar Applied Maths/Complexity
TZID:Europe/London
UID:20090720-094d43d5385c299a01386c3bd8a86add@warwick.ac.uk
CREATED:20090704T221404Z
DESCRIPTION:James Greenberg (CMU) Discrete Lagrangian Traffic Models We d
 iscuss some of the more popular Discrete Lagrangian Traffic Models. We f
 ocus our attention on two of such models\, namely the “Optimal Velocity 
 Model” and the “Intelligent Driver Model.” Both describe cars traveling 
 on a unidirectional\, one-lane highway. New Material will include A-Prio
 ri estimates which are independent of the number of cars on the road. Th
 ese estimates guarantee that the models are well posed\; specifically th
 ey imply no car collisions and no velocity reversals. We also investigat
 e Large Amplitude “Stop and Go Waves.” These are “Traveling Wave” soluti
 ons of the underlying systems. Typically\, such solutions exits and are 
 stable when the “Equilibrium Solutions” where cars are uniformly spaced 
 have a large\, linearly unstable region. As with Wilson’s studies on thi
 s subject the small wave number dispersion relation will be a critically
  important tool. We also discuss how to obtain PDE models with the same 
 basic properties as the discrete models. These PDE systems are obtained 
 by matching the small wave number dispersion relationships.
LOCATION:D1.07
CATEGORIES:Seminar Room D1.07,forum
LAST-MODIFIED:20120709T145407Z
ORGANIZER;CN=Stefan Grosskinsky:
END:VEVENT
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