1 citations · 1 across the 5 of their papers we have counts for
6 papers
POD-Galerkin Reduced Order Modeling of the El Nino-Southern Oscillation (ENSO)
Yusuf Aydogdu, Navaratnam Sri Namachchivaya
Reduced order modeling (ROM) aims to mitigate computational complexity by reducing the size of a high-dimensional state space. In this study, we demonstrate the efficiency, accurac…
Almost Sure Asymptotic Stability of Parabolic SPDEs with Small Multiplicative Noise
Yiming Meng, N. Sri. Namachchivaya, Nicolas Perkowski
A better understanding of the instability margin will eventually optimize the operational range for safety-critical industries. In this paper, we investigate the almost-sure expone…
Compressed Compressor
Alyssa Novelia, Yusuf Aydogdu, Thambirajah Ravichandran +1
In this paper, we present a data-driven reduced order model of viscous Moore-Greitzer (MG) partial differential equation (PDE) by threading together ideas from principal component…
Stochastic Parameterization using Compressed Sensing: Application to the Lorenz-96 Atmospheric Model
Amartya Mukherjee, Yusuf Aydogdu, Thambirajah Ravichandran +1
Growing set of optimization and regression techniques, based upon sparse representations of signals, to build models from data sets has received widespread attention recently with…
Approximation of the Filter Equation for Multiple Timescale, Correlated, Nonlinear Systems
Ryne Beeson, N. Sri Namachchivaya, Nicolas Perkowski
This paper considers the approximation of the continuous time filtering equation for the case of a multiple timescale (slow-intermediate, and fast scales) that may have correlation…
First Passage Time of Nonlinear Diffusion Processes with Singular Boundary Behavior
Leo Dostal, Navaratnam Sri Namachchivaya
New theorems for the moments of the first passage time of one dimensional nonlinear stochastic processes with an entrance boundary are formulated. This important class of one dimen…