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11/23/2022
A Two-Level Galerkin Reduced Order Model for the Steady Navier-Stokes Equations
We propose, analyze, and investigate numerically a novel two-level Galer...
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09/06/2022
Stochastic Data-Driven Variational Multiscale Reduced Order Models
Trajectory-wise data-driven reduced order models (ROMs) tend to be sensi...
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02/28/2022
Reduced Order Model Closures: A Brief Tutorial
In this paper, we present a brief tutorial on reduced order model (ROM) ...
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12/27/2021
Shock trace prediction by reduced models for a viscous stochastic Burgers equation
Viscous shocks are a particular type of extreme events in nonlinear mult...
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12/09/2021
Conditional Gaussian Nonlinear System: a Fast Preconditioner and a Cheap Surrogate Model For Complex Nonlinear Systems
Developing suitable approximate models for analyzing and simulating comp...
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09/30/2021
Least-Squares Finite Element Method for Ordinary Differential Equations
We consider the least-squares finite element method (lsfem) for systems ...
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08/11/2021
Verifiability of the Data-Driven Variational Multiscale Reduced Order Model
In this paper, we focus on the mathematical foundations of reduced order...
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08/14/2019