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Workshop

An Introduction to Multiscale Methods April 02, 2007 - April 05, 2007
Registration Deadline: March 23, 2007 over 7 years ago
To apply for Funding you must register by: January 02, 2007 almost 8 years ago
Parent Program: Dynamical Systems
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.

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.


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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, 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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MSRI has preferred rates at the Rose Garden Inn, depending on room availability. 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 the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code 123MSRI. Our preferred rate is $139 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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Apr 02, 2007
Monday
09:00 AM - 10:00 AM
  Averaging and Homogenization for Linear Systems
Andrew Stuart (University of Warwick)
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 (University of Warwick)
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 (University of Warwick)
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
Apr 04, 2007
Wednesday
09:00 AM - 10:00 AM
  Homogenization for SDEs
Andrew Stuart (University of Warwick)
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 (University of Warwick)
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)