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SUMMARY:Sampling and Representation of Stiff ODEs in Large Dimension - Oma
 r Knio\, KAUST
DTSTART:20200123T150000Z
DTEND:20200123T160000Z
UID:TALK131020@talks.cam.ac.uk
CONTACT:Edriss S. Titi
DESCRIPTION:This work focuses on the construction of functional representa
 tions of quantities of interest (QoI) of uncertain ODE systems in high sto
 chastic dimensions. Attention is specifically focused on the ignition dela
 y time of reacting mixtures using detailed chemical mechanisms. We explore
  two\navenues for representing QoIs\, namely based on regularized regressi
 on and on basis adaptation. Simulations are used to analyze the suitabilit
 y of the resulting representations and their utility in estimating first-o
 rder and total sensitivities. The results are also used to test reduced di
 mension representations\, and to outline potential extensions based on cap
 italizing on local sensitivity analysis. 
LOCATION:MR 14
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