Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Winter 2008 Seminar Series
Approximation of large-scale dynamical systems
Friday, February 15, 2008 3:00-4:00pm Harold Frank Hall 1104
In many applications one is faced with the task of simulating or controlling com-
plex dynamical systems. Such applications include for instance, weather predic-
tion, VLSI chip design, electromagnetics, molecular dynamics, computational
fluid dynamics, and in general problems described by sets of partial differential
equations. In all these cases complexity manifests itself as the number of first
order (ordinary) differential equations which arise. For the above examples,
depending on the level of modeling detail required, complexity may range any-
where from a few thousand to a few million first order equations, and above.
Simulating (controlling) systems of such complexity becomes a challenging
problem, irrespective of the computational resources available.
In this talk we will first briefly describe some motivating examples; we will then