Speaker:Danny Sorensen, Rice University
Title: Discrete Emprirical Interpolation for Nonlinear Model Reduction
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
Tel. 703-993-1460, Fax. 703-993-1491