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Research Seminars: Applied and Computational Mathematics

Spring 2014

Time & Location: Typically talks will be on Fridays in Gibson 414 at 3:00pm

Organizers: Mac Hyman and Kun Zhao


January 24

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January 31

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February 7

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February 14

Recent Progress on the Implementation of Entropy-Based Moment Closures

Cory HauckOak Ridge National Laboratory

Abstract:

We present recent progress on the implementation of entropy-based moment closures in the context of a simple, linear kinetic equation. The algorithm has two main, coupled components: a second-­order kinetic scheme to update the PDE and a Newton-­based solver for the dual of the optimization problem that defines the closure.   We study in detail the difficulties of solving the dual problem near the boundary of realizable moments, where quadrature formulas are less reliable and the Hessian of the dual objective function is highly ill-­conditioned. Extensive numerical experiments are performed to illustrate these difficulties. In cases where the dual problem becomes "too difficult" to solve numerically, we propose a regularization technique to artificially move moments away from the realizable boundary in a way that still preserves local particle concentrations.   Results are given for benchmark problems in one and two dimensions. In the latter case, a strategy for parallelization on heterogeneous architectures has been devised in order to reduce the high cost of solving millions of optimization problems.

This is joint work with Graham Alldredge (RWTH Aachen), Kris Garret (Oak Ridge), and Dianne O'Leary (U. Maryland) and Andre Tits (U. Maryland). <http://www.csm.ornl.gov/~hfd>



February 21

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February 28

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March 14

Controlling Beam-Wave Interaction in Traveling Wave Tubes Using Metamaterials

Anthony PolizziLouisiana state university

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March 21

Order in Chaos: The Emergence of Pattern in Random Processes

Will NewmanUniversity of California at Los angeles

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March 28

Smallest Scale Estimates for the Navier-Stokes Equations

Vincent Martinezindiana university

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April 4

Well-Balanced Positivity Preserving Central-Upwind Scheme for the Shallow Water System with Friction Terms

Shumo Cuitulane university

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April 11

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April 25

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Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu