Thursday, April 19, 2007, 6:00 p.m. - 7:00 p.m.
Title: Teaching and Learning Computational Science and Engineering
|
|
|
|
|
|
|
|
|
|
|
|
Abstract
I would like to discuss (together with the audience!) how we can
go forward with computational science and engineering. Getting students
involved has to be the key -- they will develop new ideas later (and better
use of software). It is a fascinating and creative subject that combines
applied mathematics with scientific computing.
One question is how to present both of those essential parts. My goal
is that each lecture discusses a model problem and a code to solve it.
This MIT course is popular with engineering students and their departments,
who want exposure to ideas and also to software (especially MATLAB).
The main sections of the course are Applied Linear Algebra,
Differential Equations, Finite Differences and Finite Elements,
Fourier Methods, Analytical Methods, Large Sparse Systems, and Optimization.
The starting point is to understand the second difference matrices (entries
1, -2, 1) that appear everywhere in scientific computing and simulation.
The need to move beyond the older courses in engineering mathematics,
and connect directly to computing, is widely recognized. A pure
software course misses the foundations for understanding new problems.
The combination of analysis with computational science and engineering
is powerful.
The lecture will be less solemn than this abstract.
|
Professor Gilbert Strang Professor of Mathematics,
MIT Fellow,
von Neumann Prize Medal (2005) |
|
Professor Strang is a Professor of Mathematics at Massachusetts
Institute of Technology. He is a Fellow of the
Professor Strang has served as an
editor for 20 mathematics journals, and has published a
monograph with George Fix titled “An Analysis of the Finite Element
Method” and six
textbooks:
Introduction to Linear Algebra (1993,
1998, 2003)
Linear Algebra and Its Applications (1976, 1980, 1988, 2005)
Introduction to Applied Mathematics (1986)
Calculus (1991)
Wavelets and Filter Banks, with Truong Nguyen (1996)
Linear Algebra, Geodesy, and GPS, with Kai Borre
(1997)
Professor Strang’s research interests include linear algebra, numerical analysis, partial differential equations, wavelets and filter banks, applied mathematics and engineering mathematics.
Admission is free. All are welcome!
Friday, April 14, 2006, 3:00 p.m. - 4:00 p.m.
Room 1004,
Information Technology Building
Professor Gene H. Golub
Fletcher Jones Professor of Computer Science, Stanford University
Member, American Academy of Arts and Sciences (1994)
Member, National Academy of Sciences (1993)
Member, National Academy of Engineering (1990)
Professor Gene Golub is one of the most influential mathematicians in the area of computational mathematics and numerical analysis.
Professor Golub has published over 230 research papers and authored, co-authored, or edited 18 books. He is the advisor of 28 Ph.D.’s. He is the editor or managing editor of four journals, and serves on the editorial board for 12 other journals. Professor Golub received many prestigious awards and honors. Among them are the B. Bolzano Gold Medal for Merit in the Field of Mathematical Sciences (1994), and the SIAM Award for Distinguished Service to the Profession (1993).
Professor Golub’s research interests include numerical analysis, mathematical programming, and statistical computing. His work in matrix computation devises and analyzes algorithms for solving numerical problems arising in science and statistics. Specifically, he develops algorithms for solving linear systems with special structure, computes eigenvalues of sequences of matrices, and estimates functions of matrices.
Sponsors: Allen E. Paulson College of Science and Technology, Department of Mathematical Sciences, Georgia Southern University.
Admission is free. All are welcome!
Some Pictures
 |
 |
 |
 |
 |
 |
 |
 |
 |
|
 |
|
|
|
|
Professor
Carl de Boor,
(National Medal of
Science, 2003)
"Ideal Interpolation"
Abstract: Starting from
G. Birkhoff's
definition of `ideal interpolation' (as a linear projector whose kernel
is a polynomial ideal), multivariate polynomial interpolation is
explored.
On March 14, 2005, Dr. de Boor was one of eight scientists awarded the 2003 National Medal of Science, the most prestigious science award in the country.
