Home /  An Introduction to Multiscale Methods

Workshop

An Introduction to Multiscale Methods April 02, 2007 - April 05, 2007
Registration Deadline: March 23, 2007 over 17 years ago
To apply for Funding you must register by: January 02, 2007 almost 18 years ago
Parent Program:
Organizers Greg Pavliotis and Andrew Stuart
Speaker(s)

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Description
The course provides an introduction to the theory of multiscale methods, and the techniques of averaging and homogenization in particular. The theory will be exemplified by application to ordinary and stochastic differential equations, Markov chains and partial differential equations. The course will comprise 10 introductory lectures on averaging and homogenization by G.A. Pavliotis (Imperial, on partial differential equations) and by A.M. Stuart (Warwick, on stochastic processes). There will also be several guest lectures by experts in multiscale phenomena. These will cover applications and theory. The course is aimed primarily at graduate students from mathematics and statistics, but will also be of interest to students working in closely allied areas of engineering and physics. Furthermore, postdoctoral and young researchers are also encouraged to attend. The introductory lectures by Pavliotis and Stuart will be based on the lecture notes: http://www.warwick.ac.uk/~masdr/mult.html Guest Lecturers Alexandre Chorin (Berkeley). Optimal Prediction and Dimension Reduction Tom Hou (CalTech). Fluid Mechanics. Eric Vanden Eijnden (Courant). Multiscale Integrators. For queries, please contact the course organizers. Andrew Stuart's Web-Pages Greg Pavliotis's Web-Pages Participants will be responsible for their own expenses, there is no registration fee. Scroll to the bottom of the page for the link to the registration page. On the registration page, please select the link named "No Funding Needed" and then complete the registration. A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: WV0000. The cut-off date for reservations is March 1, 2007. A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The following Group Code should be entered in the "Comment" field when booking through our Website. Group Code = CG48. Please note: The Original Queen room type does not have an in-room T1 connection, but we do have WIFI available in our main lobby area. The cut-off date for reservations is March 9, 2007.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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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)