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CATEGORIES:Fluid Mechanics (DAMTP)
SUMMARY:Taming the butterfly effect - towards computationa
l engineering of chaotic systems - Qiqi Wang (MIT)
DTSTART;TZID=Europe/London:20130621T160000
DTEND;TZID=Europe/London:20130621T170000
UID:TALK45666AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/45666
DESCRIPTION:Many dynamical systems of scientific and engineeri
ng importance are chaotic. These chaotic systems
can be found in unsteady fluid flows\, our climate
system and molecular dynamics. This talk presents
an adventure beyond just performing simulation of
chaotic systems\, towards aspects of computationa
l engineering. These include optimization\, contr
ol\, uncertainty quantification\, and data based i
nference. Our first focus is on sensitivity analy
sis\, a widely used tool in computational engineer
ing that calculates derivatives of simulation outp
uts to input parameters.\n\nWe show that existing
methods for sensitivity analysis often fail in cha
otic systems. The inability to exchange a limit an
d a derivative is the mathematical reason of this
failure. A new computational algorithms for solvin
g this challenge is the "least squares sensitivity
" method. We show many interesting aspects of this
new method. We present application of this new me
thod to several chaotic dynamical systems\, includ
ing preliminary results on chaotic fluid flow syst
ems.
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberfor
ce Road\, Cambridge
CONTACT:Dr Ed Brambley
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