13 citations · 13 across the 1 of their papers we have counts for
3 papers
math.NA2020
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
Birgul Koc, Samuele Rubino, Michael Schneier +2
In this paper, we resolve several long standing issues dealing with optimal pointwise in time error bounds for proper orthogonal decomposition (POD) reduced order modeling of the h…
math.NA2020
Data-Driven Variational Multiscale Reduced Order Models
Changhong Mou, Birgul Koc, Omer San +2
We propose a new data-driven reduced order model (ROM) framework that centers around the hierarchical structure of the variational multiscale (VMS) methodology and utilizes data to…
math.AP2019★ 13 cited
Long-Time Reynolds Averaging of Reduced Order Models for Fluid Flows: Preliminary Results
Luigi C. Berselli, Traian Iliescu, Birgul Koc +1
We perform a theoretical and numerical investigation of the time-average of energy exchange among modes of Reduced Order Models (ROMs) of fluid flows. We are interested in the stat…