College of Science and Mathematics
Department of Mathematics
Mathematics Seminar Series - Fall 2005
Monday,
October 17, 2005
2:30 pm, Science 2-065
2:30 pm, Science 2-065
Stephen Brill
Boise State UniversityAnalytical Solution of the Hermite Collocation Discretization of a Differential Equation
Abstract:
Although the numerical solution of linear differential equations
(DEs) via the Hermite collocation discretization has widely been
studied, there have been no results giving analytical formulas of
the solution of matrix equations that arise from the discretization
until the speaker turned his attention to this area. This talk will
present results applied to a simple self-adjoint linear DE,
including comparison of the discrete Hermite collocation solution
with the corresponding continuous solution. This talk should be
accessible to undergraduate mathematics students and features ideas
from calculus, differential equations, linear algebra, and
(a tiny bit of) complex analysis.
The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 4:00 pm.
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