Mathematical Sciences Research Institute - Recent Developments in Numerical Methods and Algorithms for Geometric Evolution Equations

Besides their rich and intriguing features and dynamics, geometric evolution equations appear in many scientific, engineering and industrial applications. Numerical computation of geometric evolution equations is quite challenging due to dynamic deformation of geometry, nonlinearity and possible development of singularities, especially topological changes such as self-intersection, merging, pinching, splitting, and fattening. Recently, significant progress has been made in computational methods and algorithms for geometric evolution equations. Powerful numerical methods, which are based on the level set and the phase field methodologies and combine well-known discretization methods such as finite difference methods, finite element methods, finite volume methods and spectral methods with efficient solution methods such as adaptive mesh methods, multilevel methods and domain decomposition methods, have greatly increased the capability of computing solutions of complicated nonlinear geometric evolution equations, in particular, in higher dimensions.

Speakers:
T. Chan (University of California, Los Angles), C. Elliott (University of Sussex, UK), D. Chopp (Northwestern University), Q. Du (Penn State University), G. Dziuk (University of Freiburg, Germany), R. Nochetto (University of Maryland), Adam Oberman (Simon Fraser University).

SCHEDULE:

Friday, March 16

1:45pm -- 2:35pm Charlie Elliott

3:00pm -- 3:50pm Tony Chan

4:15pm -- 5:05pm David Chopp

Saturday, March 17

9:30am -- 10:20am Gerhard Dziuk

10:45am -- 11:35am Qiang Du

1:30pm -- 2:20pm Ricardo Nochetto

2:45pm -- 3:35pm Adam Oberman

A block of rooms has been reserved at The Women's Faculty Club.
You can also contact the hotel directly
Tel: (510) 642-4175 Fax: (510) 204-9661, or: wfc@uclink.berkeley.edu

Identify yourself as coming to MSRI, give the name of David Eisenbud as faculty sponsor, the dept. phone # 642-0143 and a credit card # to guarantee. Cancellation notice is required by 2:00 p.m. the previous day or we will be charged for one night and expect you to reimburse MSRI.

Single: $95/night
Double/1 queen bed: $107/night
Double/2 single beds: $117/night

The cut-off date for reservations is March 7, 2007.

Follow this link to read about the new U.S. visa requirements

Currently Available Videos

Charles Elliott , Finite element methods for evolutionary surface PDEs March 16,2007, 01:45 PM to 02:35 PM
David Chopp , Assorted Applications of Curvature Dependent Motion March 16,2007, 04:15 PM to 05:05 PM
Gerhard Dziuk , Numerical Methods for Willmore flow March 17,2007, 09:30 AM to 10:20 AM
Qiang Du , Phase Field Calculus of Surface Variation: Some Examples March 17,2007, 10:45 AM to 11:35 AM
Ricardo Nochetto , Discrete Gradient Flows for Shape Optimization and Applications March 17,2007, 01:30 PM to 02:20 PM
Adam Oberman , Finite Difference schemes for Geometric Nonlinear Elliptic PDEs March 17,2007, 02:45 PM to 03:35 PM

You can find videos of other workshops and events on our VMath - Streaming Video page.

For more information:
Questions about this workshop should be sent either by email to

417@msri.org

or by regular mail to:

Recent Developments in Numerical Methods and Algorithms for Geometric Evolution Equations Mathematical Sciences Research Institute 17 Gauss Way, Berkeley, CA 94720-5070. USA

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