|
|
GEOMETRICALLY BASED MOTIONS (GBM)Core Participants Publications
IPAM Spring 2001Organizing Committee: Jean-Michel Morel (Paris) Stanley Osher (Los Angeles) Panagiotis Souganidis (University of Texas, Austin)
A recent exciting development which bridges pure and applied mathematics and which has had a powerful and wide reaching effect involves new numerical and analytic techniques for computing geometric objects and capturing moving interfaces, as well as the real world applications (ranging from materials science to image processing) that can now be investigated using these new methods. The level set method and the theory of viscosity solutions have matured into enabling technologies. Related numerical and analytical ideas including high resolution numerical methods, convolution generated motion, threshold dynamics, dynamic surface extension, cellular automata, stochastic partial differential equations and harmonic maps, some of which are quite novel, some of which are classical, are relevant to Geometrically Based Motions. The real applications of these and related ideas include: interfaces in materials science, computer aided design, robotics, high frequency wave propagation and inverse problems, e.g. in geophysics, image processing, computer vision, computer graphics, neuroscience, multiphase (reacting and non-reacting), flows in fluid dynamics and the connection to structures. Other applications continue to arise. The program will include workshops selected from the following topics: geometric flows, interfaces in geophysics, interfaces in material sciences, image processing with applications to neuroscience, computer vision, and computer graphics with applications to the entertainment industry. The goal of the program is to foster working relationships among researchers studying mathematical and numerical techniques and people doing real world applications. The program will take place at the Institute for Pure and Applied Mathematics (IPAM), a new NSF mathematical sciences research institute located on the UCLA campus. Mathematicians, statisticians, computer scientists, and biologists—from academia and from industry—are all invited to attend. Program Period: Mar. 27-June 15, 2001
Program Activities Applied Mathematics Seminar on Spectral Methods for Time Dependent Problems Seminar on Partial Differential Equations Bi-Weekly Seminar on Multiresolution and Multi-Scale Scientific Computing
Organizer: Luminita Vese
Time: Wednesdays, 4.00pm-5.00pm Location: IPAM Building, Room 1200
Next Talk: May 16 Dario Ringach, UCLA Department of Psychology "The Shape of Kernels in your Brain"
· Weekly Seminar in Applied Mathematics Spectral Methods for Time Dependent Problems Instructor: Eitan Tadmor tadmor@math.ucla.edu , Office: Math Sciences \#7945, IPAM \#1172A Time: Tuesdays and Thursdays, 2:00pm-3:30pm Location: IPAM Building, Room 1180
· Weekly Seminar on Partial Differential Equations Organizers: Hailiang Liu hliu@math.ucla.edu Eitan Tadmor tadmor@ipam.ucla.edu Time: Wednesdays, 2:00pm-3:00pm Location: IPAM Building, Room 1200
Next Talk: May 2 Aaron Yip (IPAM) "Phase Field Models and Sharp Interfacial Motions"
April 11 Gui-Qiang Chen, Northwestern University & IPAM "Divergence-Measure Fields, Generalized Gauss-Green Formula, and Conservation Laws"
Multiresolution and Multi-Scale Scientific Computing Organizer: Tony Chan chan@ipam.ucla.edu , Bjorn Engquist engquist@math.ucla.edu Time: Thursday 12:00pm-1.00pm Location: IPAM Building, Room 1180 Schedule:
· May 29, 2001 Mark Alber (University of Notre Dame/Stanford and IPAM)Piecewise Smooth Solutions of Nonlinear PDE's and Cell Aggregation in Biology Time: Tuesday 2:00pm Location: IPAM Building, Room 1200
· May 29, 2001 Mikhail Feldman (University of Wisconsin)On Existence and Uniqueness of Optimal Maps in Monge Mass Transfer Problem Time: Tuesday 11:00am Location: IPAM Building, Room 1200
· May 25, 2001 Haitao Fan (Georgetown University) Time: Friday 11:30-12:15 Location: IPAM Building
· May 25, 2001 Benoit Perthame (Ecole Normale Superieure, DMA) The Saint-Venant system. Derivation from Navier-Stokes and numerical issues. Time: Friday 10:00am Location: IPAM Building
· May 11, 2001 Omar Lakkis (University of Maryland and IPAM)A posteriori error analysis and adaptivity for the mean curvature flow Time: Friday 2:00-3:00pm Location: IPAM Building, Room 1200
· April 20, 2001 Frédéric Guichard (Poseidon Technologies)Poseidon System : Automatic Detection of Drowning Accidents Time: Friday 2:00pm Location: IPAM Building
· April 13, 2001 Jean-David Benamou (INRIA) A Computational Fluid Mechanics Formulation for the Monge-Kantorovitch Mass Transfer Problem and its Numerical Resolution Time: Friday 11:00am Location: IPAM Building, Room 1200
· April 12, 2001 Oleg Diyankov (Head of Computational MHD Laboratory, Russian Federal Nuclear Center) Review of the Applied Problems Solved in the Computational MHD Laboratory RFNC-VNIITF Time: Thursday 11:00am Location: IPAM Building, Room 1200
Funding Funding for participants at all levels is available, especially for advanced graduate students and researchers in the early stages of their career who want to attend the full program. Contact Institute for Pure and Applied Mathematics (IPAM) University of California Los Angeles (UCLA) Los Angeles CA 90095
e-mail:
|
|
|
