MONDAY, SEPTEMBER 11, 2006

TOPOLOGY SEMINAR

TIME: 10:10 a.m. – 11:00 a.m.
ROOM: Ayres Hall 309B
SPEAKER: Dr. Atish Mitra
TITLE: Ultrafilters II

APPLIED MATH SEMINAR

TIME: 3:30 p.m. – 4:30 p.m.
ROOM: Ayres Hall 309A
SPEAKER: Dr. Katherine J. Evans
Fluid Dynamics Group, T-3
Los Alamos National Laboratory
TITLE: Temporal accuracy analysis of convection and phase transition using a JFNK-SIMPLE solution method.

Major algorithmic challenges are posed for the accurate time evolution of physical models with coupled nonlinear physics. As illustration, a Gallium melting simulation is performed and evaluated. At early times, multiple roll cells develop in the melted region where the aspect ratio is high. The equation set for the model is solved with the Jacobian-Free Newton-Krylov (JFNK) nonlinear inexact Newton’s method. SIMPLE, a pressure-correction algorithm, is used as a physics-based preconditioner. This fully implicit algorithm is compared to solutions using SIMPLE as the main solver. There are advantages to using SIMPLE solvers, for example their ease of convergence to a linear tolerance. When SIMPLE is incorporated as a preconditioner to JFNK, these benefits are retained, plus the ability to model more complex and realistic problems with minimal and quantified error.

First we demonstrate that the JFNK-SIMPLE solution algorithm converges with greater efficiency than SIMPLE as a stand alone solver, and the effect becomes more pronounced for problems with increased size and complexity. Also, the issue of temporal error is explored by comparing solutions using JFNK-SIMPLE converged to first and second order accuracy and SIMPLE converged to a mass balance condition. Increasing discrepancies in the vorticity field over time illustrates accuracy constraints of mass balance and first order nonlinear convergence methods.

ALGEBRA SEMINAR

DATE & TIME: MONDAY, SEPTEMBER 11, 2006, 3:35 - 4:25 pm
ROOM: Ayres Hall 214
TITLE: Organizational Meeting
ABSTRACT: Interested Faculty & Students are urged to attend.

WEDNESDAY, SEPTEMBER 13, 2006

GRADUATE STUDENT TEACHING SEMINAR
Website: http://www.math.utk.edu/~eaton/Math598.htm
(for handouts and updated schedule of events)

TIME: 3:35 p.m. – 4:25 p.m.
ROOM: Ayres Hall 314
TITLE: Mentor Program: Getting the most out of classroom observations and feedback.
Students that are registered in the course will be assigned a mentor with which to work during the semester. Today you will meet your mentor, get to know him/her, and find times to sit in on each other’s classes. Bring your list from last class – we will talk about how to assess classroom instruction and dynamics.

ANALYSIS SEMINAR

TIME: 3:35 p.m. – 4:25 p.m.
ROOM: Ayres Hall 320
SPEAKER: Professor Stefan Richter
TITLE: Alexandrov-Clark measures in the unit circle, 3

THURSDAY, SEPTEMBER 14, 2006

TOPOLOGY SEMINAR

TIME: 10:10 a.m. – 11:00 a.m.
ROOM: Ayres Hall 309B
SPEAKER: Assistant Professor Nikolay Brodskiy
TITLE: Introduction to amenability: Ponzi scheme.

PROBABILITY SEMINAR

Speaker: Professor Yong Zeng, University of Missouri
Title: Filtering with Marked Point Process Observations: Application to the Econometrics of Ultra-High Frequency Data (II)
Time: 11:15-12:05
Place: A309B

FRIDAY, SEPTEMBER 15, 2006

TOPOLOGY SEMINAR

TIME: 10:10 a.m. – 11:00 a.m.
ROOM: Ayres Hall 309B
SPEAKER: Mr. David Phillippi
TITLE: Prodiscrete actions on Uniform Spaces II