18 citations · 38 across the 10 of their papers we have counts for
10 papers
Reduced Order Models for the Quasi-Geostrophic Equations: A Brief Survey
Changhong Mou, Zhu Wang, David R. Wells +2
Reduced order models (ROMs) are computational models whose dimension is significantly lower than those obtained through classical numerical discretizations (e.g., finite element, f…
Closure Learning for Nonlinear Model Reduction Using Deep Residual Neural Network
Xuping Xie, Clayton G. Webster, Traian Iliescu
Developing accurate, efficient, and robust closure models is essential in the construction of reduced order models (ROMs) for realistic nonlinear systems, which generally require d…
Analytic Continuation of Noisy Data Using Adams Bashforth ResNet
Xuping Xie, Feng Bao, Thomas Maier +1
We propose a data-driven learning framework for the analytic continuation problem in numerical quantum many-body physics. Designing an accurate and efficient framework for the anal…
Non-intrusive inference reduced order model for fluids using linear multistep neural network
Xuping Xie, Guannan Zhang, Clayton G. Webster
In this effort we propose a data-driven learning framework for reduced order modeling of fluid dynamics. Designing accurate and efficient reduced order models for nonlinear fluid d…
Lagrangian Data-Driven Reduced Order Modeling of Finite Time Lyapunov Exponents
Xuping Xie, Peter J. Nolan, Shane D. Ross +2
There are two main strategies for improving the projection-based reduced order model (ROM) accuracy: (i) improving the ROM, i.e., adding new terms to the standard ROM; and (ii) imp…
Calibrated Filtered Reduced Order Modeling
X. Xie, M. Mohebujjaman, L. G. Rebholz +1
We propose a calibrated filtered reduced order model (CF-ROM) framework for the numerical simulation of general nonlinear PDEs that are amenable to reduced order modeling. The nove…
Numerical Analysis of the Leray Reduced Order Model
Xuping Xie, David Wells, Zhu Wang +1
Standard ROMs generally yield spurious numerical oscillations in the simulation of convection-dominated flows. Regularized ROMs use explicit ROM spatial filtering to decrease these…
Regularized Reduced Order Models for a Stochastic Burgers Equation
Traian Iliescu, Honghu Liu, Xuping Xie
In this paper, we study the numerical stability of reduced order models for convection-dominated stochastic systems in a relatively simple setting: a stochastic Burgers equation wi…
Approximate Deconvolution Reduced Order Modeling
Xuping Xie, David Wells, Zhu Wang +1
This paper proposes a large eddy simulation reduced order model(LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal…
An Evolve-Then-Filter Regularized Reduced Order Model
David Wells, Zhu Wang, Xuping Xie +1
In this paper, we propose a new evolve-then-filter reduced order model (EF-ROM). This is a regularized ROM (Reg-ROM), which aims at the numerical stabilization of proper orthogonal…