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SUMMARY:Taming the butterfly effect - towards computational engineering of
  chaotic systems - Qiqi Wang (MIT)
DTSTART:20130621T150000Z
DTEND:20130621T160000Z
UID:TALK45666@talks.cam.ac.uk
CONTACT:Dr Ed Brambley
DESCRIPTION:Many dynamical systems of scientific and engineering importanc
 e are chaotic.  These chaotic systems can be found in unsteady fluid flows
 \, our climate system and molecular dynamics. This talk presents an advent
 ure beyond just performing simulation of chaotic systems\, towards aspects
  of computational engineering.  These include optimization\, control\, unc
 ertainty quantification\, and data based inference.  Our first focus is on
  sensitivity analysis\, a widely used tool in computational engineering th
 at calculates derivatives of simulation outputs to input parameters.\n\nWe
  show that existing methods for sensitivity analysis often fail in chaotic
  systems. The inability to exchange a limit and a derivative is the mathem
 atical reason of this failure. A new computational algorithms for solving 
 this challenge is the "least squares sensitivity" method. We show many int
 eresting aspects of this new method. We present application of this new me
 thod to several chaotic dynamical systems\, including preliminary results 
 on chaotic fluid flow systems.
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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