lapackers

[Ming Gu <mgu@math.berkeley.edu>]

               Math 290, Section 29, CS 298, Section 6,
                          Fall 2010
         (Matrix Computations and Scientific Computing)

We meet WEDNESDAYS 11:10 - noon in Room 380 Soda Hall,
Berkeley campus.  The coordinators are Profs. J. Demmel
(demmel@cs.berkeley.edu) and M. Gu (mgu@math.berkeley.edu).
The program will be a mixture of research talks and
tutorials.  The tutorials will provide a partial sequel to
Math 221.

For the schedule and other details about the seminar, please see
math.berkeley.edu/~mgu/LAPACKSeminar.htm


Date: Sept. 15
Speaker: Benjamin Stamm, UC Berkeley
Title: Reduced Order Modeling for Electromagnetic Scattering Problems

Abstract: This talk gives an overview of the Reduced
Basis Method applied to parametrized scattering
problems. Parametrized problems appear in many applications
of engineering. We give a mathematical background of the
model reduction by the reduced basis method.

The subsequent discretization of the Electric Field Integral
Equation (EFIE) is a common approach to solve scattering
problems on unbounded domains which is known as the Boundary
Element Method (BEM) or Method of Moments (Mom). In many
applications solving the Boundary Element Method for each
new parameter value is too expensive (and unnecessary).

The Reduced Basis Method is an accurate, efficient and
trustable algorithm in the framework of parametrized
problems and in a many-query context. We will present how
the Reduced Basis Method is applied to parametrized
scattering problems. The novelty is that for the first time
the Reduced Basis Method is applied to an integral
equation. We will discuss the challenges and present
numerical examples.

In the second part of the talk, we will present first
numerical results for multi-object scattering problems where
the the parameters consist not only of the wave number, the
angle and polarization of the incident plane wave but also
the location of the different particles.  


Date: Sept. 22
Speaker: Beresford Parlett, UC Berkeley 
Title: Highlights from the thesis of Paul Willems on computing
eigenvectors of symmetric tridiagonals