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Antonios Zagaris
| Speaker: |
Antonios Zagaris (UvA and
CWI)
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| Date: |
Wednesday October 18, 2006 |
| Title: |
Analysis
of Reduction Methods for Multiscale Dynamics
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Abstract
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In this talk, I will go over the specifics of some
of the most successful reduction methods developed to reduce the
complexity of multiscaled dynamics. In the first part of the talk, I
will focus on the Intrinsic Low-Dimensional Manifold (ILDM) method
& the Computational Singular Perturbation (CSP), both originally
developed to simplify detailed chemical kinetic mechanisms. I will
introduce the methods, continue with revealing their geometric
underpinnings, and conclude this first part with an explanation of how
geometry may be used to develop a simple framework for the analysis of
these and similar methods. In the second part of the talk, I will
introduce the Zero-derivative Principle (ZDP), which was suggested
recently as a cheap way to reduce multiscale dynamics on-the-fly. Then,
I will fit ZDP in the analysis framework developed in the first part of
the talk and examine its accuracy.
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