18 citations · 42 across the 3 of their papers we have counts for
3 papers
math.NA2021★ 6 cited
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…
math.NA2021★ 18 cited
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…
physics.flu-dyn2017★ 18 cited
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…