3 papers
physics.comp-ph2024
Nonintrusive projection-based reduced order modeling using stable learned differential operators
Aviral Prakash, Yongjie Jessica Zhang
Nonintrusive projection-based reduced order models (ROMs) are essential for dynamics prediction in multi-query applications where access to the source of the underlying full order…
physics.flu-dyn2024
SNF-ROM: Projection-based nonlinear reduced order modeling with smooth neural fields
Vedant Puri, Aviral Prakash, Levent Burak Kara +1
Reduced order modeling lowers the computational cost of solving PDEs by learning a low-order spatial representation from data and dynamically evolving these representations using m…
math.NA2024
Data-driven identification of stable differential operators using constrained regression
Aviral Prakash, Yongjie Jessica Zhang
Identifying differential operators from data is essential for the mathematical modeling of complex physical and biological systems where massive datasets are available. These opera…