32 citations · 147 across the 27 of their papers we have counts for
4 papers · 1 filter
Shock trace prediction by reduced models for a viscous stochastic Burgers equation
Nan Chen, Honghu Liu, Fei Lu
Viscous shocks are a particular type of extreme events in nonlinear multiscale systems, and their representation requires small scales. Model reduction can thus play an important r…
Conditional Gaussian Nonlinear System: a Fast Preconditioner and a Cheap Surrogate Model For Complex Nonlinear Systems
Nan Chen, Yingda Li, Honghu Liu
Developing suitable approximate models for analyzing and simulating complex nonlinear systems is practically important. This paper aims at exploring the skill of a rich class of no…
Least-Squares Finite Element Method for Ordinary Differential Equations
Matthias Chung, Justin Krueger, Honghu Liu
We consider the least-squares finite element method (lsfem) for systems of nonlinear ordinary differential equations and establish an optimal error estimate for this method when pi…
Verifiability of the Data-Driven Variational Multiscale Reduced Order Model
Birgul Koc, Changhong Mou, Honghu Liu +3
In this paper, we focus on the mathematical foundations of reduced order model (ROM) closures. First, we extend the verifiability concept from large eddy simulation to the ROM sett…