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Sampling techniques for uncertainty propagation in stochastic PDEs Alireza Doostan Dept of Aerospace Engineering Sciences, ¾«Æ·SMÔÚÏßӰƬ Date and time: Tuesday, October 25, 2011 - 3:45pm Abstract: The talk will start with a brief tutorial on polynomial chaos methods for stochastic PDEs, followed by a presentation on sampling techniques for...

Radial Basis Function Methods for Solving Partial Differential Equations Bengt Fornberg Applied Mathematics , ¾«Æ·SMÔÚÏßӰƬ Date and time: Friday, January 15, 2010 - 4:30pm Abstract: For the task of solving PDEs, finite difference (FD) methods are particularly easy to implement. Finite element methods are more flexible geometrically,...

Event Description: Elizabeth Bradley, Department of Applied Mathematics, ¾«Æ·SMÔÚÏßӰƬ Dynamics of data assimilation Numerical solvers cannot track unmodelled effects like noise, and this becomes a particularly serious issue in complex nonlinear systems like fluid flows. One way to address this problem is to use observations of the...

Event Description: François G Meyer, Department of Electrical and Computer Engineering, ¾«Æ·SMÔÚÏßӰƬ We can read your mind: the decoding of fMRI datasets Very recently, functional Magnetic Resonance Imaging (fMRI) has been used to infer subjective experience and brain states of subjects immersed in natural environments. These environments...

Event Description: Mike Wakin, Assistant Professor, University Michigan The Geometry of Compressed Sensing Compressed Sensing (CS) is a rapidly emerging field based on the revelation that signals obeying sparse models can be recovered from small numbers of nonadaptive (even random) linear measurements. In this talk I will survey some of...

Event Description: Randall J. LeVeque, Assistant Professor, University Michigan Shock Wave Propagation in Tissue and Bone Studying the physical and biological mechanisms of extracorporeal shock wave therapy (ESWT) requires modeling the propagation of strong shock waves through tissue and bone. Interfaces between different biological materials lead to reflections and focusing...

Event Description: Randy Bank, Professor of Mathematics, UCSD Convergence Analysis of a Domain Decomposition Paradigm We describe a domain decomposition algorithm for use in several variants of the parallel adaptive meshing paradigm of Bank and Holst. This algorithm has low communication, makes extensive use of existing sequential solvers, and exploits...

Event Description: John R. Cary, Professor of Physics, ¾«Æ·SMÔÚÏßӰƬ, and CEO, Tech-X Corporation Self-consistent electromagnetic modeling with boundaries The difficulty in modeling electromagnetics is in choosing the correct algorithm from the plethora available. The choice ultimately depends on what is most critical for the problem to be...

Event Description: Luis Chacon, Los Alamos National Laboratory On fully implicit methods for extended magnetohydrodynamics Magnetohydrodynamics (MHD) describes the behavior of charged hot gases (plasmas) in the presence of electromagnetic fields, and is a crucial tool for the understanding of solar, space, and laboratory (e.g. thermonuclear fusion) plasmas. Mathematically, MHD...

Event Description: Robert Krasny, Professor, University of Michigan Lagrangian Simulations of Fluids and Plasmas This talk will describe recent work on lagrangian simulations of fluids and plasmas. The basic idea is to replace the standard Eulerian formulation by a Lagrangian formulation in which the flow map is the key unknown...