4:00 PM / Salon A/B
Monday, May 20
Somewhat surprisingly, the vast majority of these developments were made independently in each of the two fields, even when similar issues are involved. An example is the simulation of the dynamics of constrained mechanical systems: The time-dependent differential system arises from an optimization principle, and at each time step one is faced with the inversion of a KT matrix ("forward dynamics"). But the connection between forward dynamics and the following motion integration algorithm can be important too, and this latter connection falls outside the traditional domain of continuous optimizers. Another example is the interpretation of path following as approximating a differential system with an explicitly defined invariant.
The speaker will survey the basic issues, structure and algorithms for differential equations with equality and inequality constraints and explore their relationship with continuous optimization techniques.
Uri M. Ascher
Department of Computer Science
University of British Columbia, Canada