On Thursday, November 20th at 4pm, come to 56-114 for the next segment of the MIT SIAM-CCE Seminar Series: Online Adaptive Model Reduction for Nonlinear Systems. Benjamin Peherstorfer of MIT AeroAstro will be discussing his work and experience with the subject.
This work presents a nonlinear model reduction approach for systems of equations stemming from the discretization of partial differential equations with nonlinear terms. The approach constructs a reduced system with proper orthogonal decomposition and the discrete empirical interpolation method (DEIM); however, whereas classical DEIM derives a linear approximation of the nonlinear terms in a static DEIM space generated in an offline phase, our method adapts the DEIM space as the online calculation proceeds and thus provides a nonlinear approximation. The online adaptation uses new data to produce a reduced system that accurately approximates behavior not anticipated in the offline phase. Interested? For more, attend to the seminar!