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Schedule, Notes/Handouts & Videos

An Introduction to Multiscale Methods April 02, 2007 - April 05, 2007

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Apr 02, 2007
Monday
09:00 AM - 10:00 AM
  Averaging and Homogenization for Linear Systems
Andrew Stuart (Caltech)
10:30 AM - 11:30 AM
  Homogenization for Elliptic PDEs
Greg Pavliotis (Imperial College, London)
02:00 PM - 03:00 PM
  Introduction to SDEs
Andrew Stuart (Caltech)
Apr 03, 2007
Tuesday
09:00 AM - 10:00 AM
  Homogenization for Parabolic PDEs
Greg Pavliotis (Imperial College, London)
10:30 AM - 11:30 AM
  Averaging for SDEs
Andrew Stuart (Caltech)
02:00 PM - 03:00 PM
  Averaging for Transport Equations
Greg Pavliotis (Imperial College, London)
04:00 PM - 05:00 PM
  Fluid Mechanics
Thomas Hou (California Institute of Technology)
Apr 04, 2007
Wednesday
09:00 AM - 10:00 AM
  Homogenization for SDEs
Andrew Stuart (Caltech)
10:30 AM - 11:30 AM
  Properties of Effective Coefficients
Greg Pavliotis (Imperial College, London)
02:00 PM - 03:00 PM
  Homogenization and Control of Jet Engine Flow
Björn Birnir (University of California, Santa Barbara)
Apr 05, 2007
Thursday
09:00 AM - 10:00 AM
  Validity of SDE Approximations
Andrew Stuart (Caltech)
10:30 AM - 11:30 AM
  Validity of PDE Approximations
Greg Pavliotis (Imperial College, London)
02:00 PM - 03:00 PM
  Optimal Prediction
Alexandre Chorin (University of California, Berkeley)
04:00 PM - 05:00 PM
  Multiscale Integrators
Eric Vanden-Eijnden (New York University, Courant Institute)