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Seminars and Colloquiums
for the week of August 24, 2015

SPEAKER:

Stochastics, Tuesday
Anthony Mezzacappa, JICS, Tuesday
CAM, Wednesday
Abner Salgado, Friday


Tuesday August 26

Stochastics Seminar
Time: 2:10 pm
Room: Ayres 114
Title: Organizational Meeting

NIMBIOS
Time: 3:00 p.m.
Room: Franklin Classroom 105
Speaker: Anthony Mezzacappa, JICS
Title: A resolution of a conjecture by Stephenson
Abstract: The Joint Institute for Computational Sciences (JICS) was first established in 1991 and has been through several critical phases in the more than two decades since, including the award by DOE to UT-Battelle of the management of the Oak Ridge National Laboratory, the award by NSF to the University of Tennessee (UT) of the Kraken supercomputer, which was the nation's
and has been through several critical phases in the more than two decades since, including the award by DOE to UT-Battelle of the management of the Oak Ridge National Laboratory, the award by NSF to the University of Tennessee (UT) of the Kraken supercomputer, which was the nation's first academic petaflop supercomputer, and the award by NSF to the University of Illinois of the eXtreme Science and Engineering Discovery Environment (XSEDE), of which JICS is a leading partner, to support NSF's national cyberinfrastructure. As a result, JICS and, within it, the National Institute for Computational Sciences (NICS), one of NSF's five supercomputing centers, took on a national focus, supporting thousands of users and projects across all scientific and engineering domains. Within the past two years, we have focused on bringing JICS expertise and resources, and its overall unparalleled NSF track record of user support, to campus. During this time, we have established a significant number of new, single- and multiple-investigator collaborations with campus faculty. Our desire is to continue this growth and, most important, bring the best of what the University has to offer in computing to its faculty and the research frontiers they wish to advance. I will give an overview of JICS, focusing on its unique aspects, particularly as they pertain to their potential utility to campus faculty and the opportunities they may afford faculty. I will discuss some of our ongoing collaborations with campus, and discuss ways we can, and hope to, engage other faculty in the future.

Wednesday August 26

Computational/Applied Math Seminar
Time: 3:35pm
Room: Ayres 405
Title: Organizational Meeting
For those of you interested or enrolled in one of the Computation/Applied Mathematics (CAM) seminars, there will be an organizational meeting next Wednesday, 8/26/2015, in Ayres 112 at 3:35p.


Friday, August 28

Math Colloquium
Time: 3:30 - 4:30 p.m.
Room: Ayres 405
Speaker: Abner Salgado
Title: PDE Approach to Fractional Diffusion Abstract:
Abstract: We study solution techniques for problems involving fractional powers of symmetric, coercive and elliptic operators. These can be realized as the Dirichlet to Neumann map for a nonuniformly elliptic problem posed on a semi-infinite cylinder, which we analyze in the framework of Muckenhoupt weighted Sobolev spaces. Motivated by the rapid decay of the solution to this problem, we propose a truncation that is suitable for numerical approximation. We discretize this truncation using first degree tensor product finite elements. We derive suboptimal a priori error estimates for quasi-uniform discretizations and quasi-optimal error estimates for anisotropic discretizations. We explore extensions and applications of the a priori theory previously described: a posteriori error analysis and adaptivity; parabolic equations with fractional diffusion and Caputo fractional time derivative; elliptic and parabolic fractional obstacle problems; and optimal control problems.


If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar.

If you have questions, or a date you would like to confirm, please contact colloquium AT math DOT utk DOT edu



 

 

last updated: February 2016

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