147 citations · 586 across the 23 of their papers we have counts for
4 papers · 1 filter
Nonlinear proper orthogonal decomposition for convection-dominated flows
Shady E. Ahmed, Omer San, Adil Rasheed +1
Autoencoder techniques find increasingly common use in reduced order modeling as a means to create a latent space. This reduced order representation offers a modular data-driven mo…
On closures for reduced order models A spectrum of first-principle to machine-learned avenues
Shady E. Ahmed, Suraj Pawar, Omer San +3
For over a century, reduced order models (ROMs) have been a fundamental discipline of theoretical fluid mechanics. Early examples include Galerkin models inspired by the Orr-Sommer…
Forward sensitivity analysis of the FitzHugh-Nagumo system: Parameter estimation
Shady E. Ahmed, Omer San, Sivaramakrishnan Lakshmivarahan
The FitzHugh-Nagumo (FHN) model, from computational neuroscience, has attracted attention in nonlinear dynamics studies as it describes the behavior of excitable systems and exhibi…
Hybrid analysis and modeling for next generation of digital twins
Suraj Pawar, Shady E. Ahmed, Omer San +1
The physics-based modeling has been the workhorse for many decades in many scientific and engineering applications ranging from wind power, weather forecasting, and aircraft design…