2 citations · 3 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Projection-based reduced order modeling and data-driven artificial viscosity closures for incompressible fluid flows
Aviral Prakash, Yongjie Jessica Zhang
Projection-based reduced order models rely on offline-online model decomposition, where the data-based energetic spatial basis is used in the expensive offline stage to obtain equa…