Speaker:Danny Sorensen, Rice University
Title: Discrete Emprirical Interpolation for Nonlinear Model Reduction

Abstract: I will present a method for nonlinear model reduction that is based upon proper orthogonal decomposition (POD) combined with a discrete empirical interpolation method (DEIM). This POD-DEIM approach has provided spectacular dimension and complexity reduction for challenging systems of large scale ordinary differential equations(ODEs). Reductions from 15,000 variables to 40 variables in the reduced model with very little loss of accuracy have been achieved. For parabolic problems, this accuracy can be established rigorously. The DEIM is surprisingly simple and amounts to replacing orthogonal projection with an interpolatory projection of the nonlinear term that only requires the evaluation of a few selected components of the original nonlinear term.

Time: Wednesday, October 16, 2013, 1:30-2:30 p.m.

Place: Exploratory Hall (formerly S & T II), Room 3301 -- NOTE SPECIAL TIME AND LOCATION!!

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491