A conference on numerical analysis and scientific computing for graduate students and postdocs from the Mid-Atlantic region.

Friday, 11 November 2016

 

Keynote Speaker

Michael Overton,
Courant Institute of Mathematical Sciences,
New York University

 

Nonsmooth, Nonconvex Optimization:
Algorithms and Examples

Abstract

In many applications one wishes to minimize an objective function that is not convex and is not differentiable at its minimizers. We discuss two algorithms for minimization of nonsmooth, nonconvex functions. Gradient Sampling is a simple method that, although computationally intensive, has a nice convergence theory. The method is robust and the convergence theory has recently been extended to constrained problems. BFGS is a well known method, developed for smooth problems, but which is remarkably effective for nonsmooth problems too. Although our theoretical results in the nonsmooth case are quite limited, we have made some remarkable empirical observations and have had broad success in applications. Limited Memory BFGS is a popular extension for large problems, and it is also applicable to the nonsmooth case, although our experience with it is more mixed. Throughout the talk we illustrate the ideas through examples, some very easy and some very challenging. Our work is with Jim Burke (U. Washington) and Adrian Lewis (Cornell).

The Conference

This one-day meeting will start at 10am to allow same-day travel.
It will be held in Room 617 Wachman Hall, Temple University, 1805 North Broad street, just north of Montgomery Avenue (see directions on right margin).
It will be an opportunity for graduate students and postdocs to present their research, and to meet other researchers.
There will be contributed talks and a poster session.

There will be no registration fee. In order to guarantee appropriate space in the lecture rooms, we ask every participant to please register in advance, even if you are not planning to give a talk.
Lunch will be provided.

Conference Poster

You can download a conference announcement poster.

Schedule

9:15- 9:50 Registration and breakfast (provided)
9:50-10:00 Opening remarks
10:00-11:00 Presentations (Multigrid)
11:10-11:15 Coffee Break
11:15-12:45 Presentations (Analysis and Numerical Analysis)
12:45-14:00 Posters and lunch (provided)
14:00-15:00 Keynote lecture (Michael Overton)
15:00-15:15 Coffee break
15:15-16:15 Presentations (Turbulence and Stochastic PDE)
16:15-16:30 Coffee break
16:30-17:30 Presentations (Bio/Medical Applications)
17:30-17:40 Closing remarks
18:15-20:00    Group dinner (attendance optional)

Speakers

Multigrid
Tengfei Su University of Maryland College Park A low-rank multigrid method for the stochastic steady-state diffusion problem
Giacomo    Capodaglio    Texas Tech University Convergence estimates for a multigrid algorithm with domain decomposition smoother
Analysis and Numerical Analysis
Yajie Zhang Penn State University A regularity analysis of parabolic transmission problem on polygonal domain
Thomas Brown University of Delaware Interaction of acoustic waves with a piezoelastic solid
Wenfang Xu Penn State University Adaptive aggregation on graphs
Turbulence and Stochastic PDE
Ali Pakzad University of Pittsburgh Damping functions correct over-dissipation of the Smagorinsky model
Kookjin Lee University of Maryland College Park A preconditioned low-rank projection method with a rank-reduction scheme for stochastic partial differential equations
Bio/Medical Applications
Sara Calandrini Texas Tech University Numerical simulation of fluid-structure interaction problems with application to hemodynamics
Gregory Javens CUNY Hunte College A model for chemotactic bacteria

Posters

Shumo Cui Temple University Stable traveling solutions of traffic models: A numerical investigation
Shukai Du University of Delaware Building a computational code for three dimensional viscoelastic wave simulation (joint poster)
Hasan Eruslu University of Delaware Building a computational code for three dimensional viscoelastic wave simulation (joint poster)
Jose Garay Temple University Asynchronous optimized Schwarz method for Poisson equation on rectangular Domains
Stephan Grein Temple University A multiscale model of synaptic contact between brain cells
Emmanuel    Olutayo African Institute for Mathematical Sciences Simulation of cerebrospinal fluid using finite pointset method
Shelby Stanhope    Temple University Existence and uniqueness for the inverse problem for linear and linear-in-parameters dynamical systems
Giordano Tierra Temple University Analysis of an augmented mixed finite element method for the Navier-Stokes
Dong Zhou Temple University Order reduction in high-order implicit Runge-Kutta methods for initial boundary value problems

Hotel Information

Please feel free to contact us for information on accommodation.

Contact

Email: naday -at- temple.edu

Organizers

Benjamin Seibold and Daniel B. Szyld

Sponsors

Sponsored by the Department of Mathematics, the College of Science and Technology, and the Graduate School, Temple University.