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MGA Workshop II: Multiscale Geometry in Scientific Computing

October 19 - 23, 2004

IPAM Building
Room 1200

Printable Version

Tuesday, October 19, 2004

Morning Session

8:30 - 9:15 Check-In/Breakfast (Hosted by IPAM)
9:15 - 9:30 Welcome and Opening Remarks
9:30 - 10:30

Martin Mohlenkamp (Ohio University)

"Algorithms for Numerical Analysis in High Dimensions. Part I: Definitions, linear algebra and basic algorithms"
Presentation (PDF File)

10:30 - 11:00 Break
11:00 - 12:00

Gregory Beylkin (University of Colorado)

"Algorithms for Numerical Analysis in High Dimensions Part II: Operators in high dimensions"
Presentation (PDF File)

12:00 - 1:30 Lunch (on your own)

Afternoon Session

1:30 - 2:30

George Fann (Oak Ridge National Laboratory)

"Multiresolution Solvers in MADNESS"

2:30 - 3:00 Break
3:00 - 4:00

Nick Coult ()

"Multiresolution homogenization of operators in separated form"
Presentation (PDF File)

4:00 - 4:30 Break
4:30 - 5:30

Robert Harrison (Oak Ridge National Laboratory)

"Chemistry in many dimensions"
Presentation (PDF File)


Wednesday, October 20, 2004

Morning Session

8:30 - 9:30 Continental Breakfast
9:30 - 10:30

Eric Michielssen (University of Illinois at Urbana-Champaign)

"Plane Wave Time Domain Accelerated Integral Equation Solvers: Multiscale Aspects"

10:30 - 11:00 Break
11:00 - 12:00

Richard Tsai (Princeton University)

"Visibility Optimizations"

12:00 - 1:30 Lunch (on your own)

Afternoon Session

1:30 - 2:30

Thomas Hou (California Institute of Technology)

"Multiscale computations for flow in strongly heterogenous media"

2:30 - 3:00 Break
3:00 - 4:00

Michael Ortiz (California Institute of Technology)

 

4:00 - 4:30 Break
4:30 - 5:30

Achi Brandt (Weizmann Institute of Science)

"Multiscale Computation: From fast solvers to systematic upscaling"
Presentation (PowerPoint File)

5:30 - 7:00 Wine/Cheese Reception (Hosted by IPAM)

Thursday, October 21, 2004

Morning Session

8:30 - 9:30 Continental Breakfast
9:30 - 10:30

Stanley Osher (IPAM)

"Computing Multivalued Physical Observables for the Semiclassical Limit of the Schrodinger Equation and for High Frequency Asymptotic Solutions to Symmetric Hyperbolic Systems (joint with S. Jin, H. Liu and R. Tsai)"

10:30 - 11:00 Break
11:00 - 12:00

Vladimir Rokhlin (Yale University)

"Moore's Law and ``Fast'' Numerical Techniques"
Presentation (PDF File)

12:00 - 1:30 Lunch (Hosted by IPAM)

Afternoon Session

1:30 - 2:30

Gilad Lerman (University of Minnesota)

"Multiscale Curve and Strip Constructions with Applications "

2:30 - 3:00 Break
3:00 - 4:00

Eric Vanden-Eijnden (New York University)

"Extracting low order stochastic models from large-sized dynamical data sets."

4:00 - 4:30 Break
4:30 - 5:30

Lexing Ying (New York University)

"A kernel-independent adaptive fast multipole algorithm in two and three dimensions"
Presentation (PDF File)


Friday, October 22, 2004

Morning Session

8:30 - 9:00 Continental Breakfast
9:00 - 10:00

Peter Schröder (California Institute of Technology)

"Conforming hierarchical adaptive refinement methods (CHARMS)" and their application in the context of thin-shell simulation with the subdivision element method."

10:00 - 10:15 Break
10:15 - 11:15

Yannis Kevrekides (Princeton University)

"Equation-Free Modeling for Complex Multiscale Systems"

11:15 - 11:30 Break
11:30 - 12:30

Yuval Rabani (Technion, Haifa, Israel)

"Quasisymmetric embeddings, the observable diameter, and expansion properties of graphs"
Presentation (PDF File)

12:30 - 2:00 Lunch (on your own)

Afternoon Session

2:00 - 3:00

Nathan (Nati) Linial (Hebrew University, Jerusalem, Israel)

"Clustering - Can we tame the beast?"

3:00 - 3:15 Break
3:15 - 4:15

Anna Gilbert (University of Michigan)

"Beating the B^2 bottleneck in estimating B-term Fourier representations"

4:15 - 4:30 Break
4:30 - 5:30

Leonard Schulman (California Institute of Technology)

"Deterministic Clustering with Data Nets"

5:30 - 6:30

Santosh Vempala (Massachusetts Institute of Technology)

"Random Sampling for Matrix Projection and Approximation"
Presentation (PDF File)


Saturday, October 23, 2004

Morning Session

8:30 - 9:30 Continental Breakfast
9:30 - 10:30

Emmanuel Candes (California Institute of Technology)

"Near Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? "
Presentation (PDF File)

10:30 - 11:00 Break
11:00 - 12:00

Piotr Indyk (Massachusetts Institute of Technology)

"Near Neighbor Search in High Dimensions via Locality Sensitive Hashing"

12:00 - 1:30 Lunch (on your own)

Afternoon Session

1:30 - 2:30

Rafail Ostrovsky (UCLA)

"Dimension-Reductions in The Hamming Cube and its Applications"
Presentation (PowerPoint File)

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