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Dynamics-based Model Reduction of Nonlinear Systems: Data-free and Data-assisted Techniques
July 14 @ 10:00 am – 12:00 pm
Shobhit Jain is a tenured Assistant Professor of Applied Mathematics at Delft University of Technology. He earned his undergraduate degree in Mechanical Engineering from IIT Roorkee, his MS degrees in Mechanical Engineering and Applied Mathematics from TU Delft, and his doctoral degree from ETH Zurich. Shobhit has had industrial stints at several engineering firms, gathering experience in heavy engineering, precision and microsystems engineering, and numerical simulations.
This workshop will be virtual attendance only.
Zoom ID: 985 1252 3412
Passcode: 936146
Dynamics-based Model Reduction of Nonlinear Systems: Data-free and Data-assisted Techniques
As the physical processes of interest to contemporary science and engineering grow increasingly complex, their governing equations become high-dimensional and nonlinear, leading to significant computational costs. Reduced-order models (ROMs) that capture the essential features of the underlying physical phenomena are crucial for efficient analysis, prediction, design, and control.
Techniques rooted in dynamical systems theory offer accurate, low-dimensional ROMs for complex nonlinear systems via attracting invariant manifolds. This lecture will:
- survey the basic theory and computation of attracting invariant manifolds, and
- highlight recent advances in the nonintrusive computation of rigorous ROMs, both from governing equations and from data.
Workshop Organizer: Suparno Bhattacharyya, suparnob@tamu.edu