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All papers authored by Honghu Liu

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2024 Mickaël D. Chekroun

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, Honghu Liu

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, Kaushik Srinivasan, James C. McWilliams

The high-frequency and rare events barriers to neural closures of atmospheric dynamics

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2023 Mickaël D. Chekroun

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, Honghu Liu

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, James C. McWilliams

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Optimal parameterizing manifolds for anticipating tipping points and higher-order critical transitions

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Mickaël D. Chekroun

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, Honghu Liu

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, James C. McWilliams

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, Shouhong Wang

Transitions in stochastic non-equilibrium systems: Efficient reduction and analysis

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Matthias Chung

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, Justin Krueger, Honghu Liu

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Least-squares finite element method for ordinary differential equations

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2022 Mickaël D. Chekroun

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, Honghu Liu

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, Huan Liu

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Generic generation of noise-driven chaos in stochastic time delay systems: Bridging the gap with high-end simulations

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Nan Chen

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, Honghu Liu

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Conditional Gaussian nonlinear system: A fast preconditioner and a cheap surrogate model for complex nonlinear systems

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Nan Chen, Honghu Liu

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, Fei Lu

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Shock trace prediction by reduced models for a viscous stochastic Burgers equation

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2021 Honghu Liu

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, Mickael Chekroun, James McWilliams

A Variational Approach to Small-Scale Parameterization for Nonlinear and Stochastic Dynamical Systems

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Mickaël D. Chekroun

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, Honghu Liu

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, James C. McWilliams

Stochastic rectification of fast oscillations on slow manifold closures

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2020 Mickaël D. Chekroun

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, Honghu Liu

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Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: Applications to cloud-rain models

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Changhong Mou, Honghu Liu

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, David R. Wells, Traian Iliescu

Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation

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M.~D Chekroun, H. Liu

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Optimal management of harvested population at the edge of extinction

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2019 Mickaël D. Chekroun

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, Honghu Liu

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, James C. McWilliams

Variational Approach to Closure of Nonlinear Dynamical Systems: Autonomous Case

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2018 Mickaël D. Chekroun, Axel Kröner, Honghu Liu

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4. Galerkin Approximations For The Optimal Control Of Nonlinear Delay Differential Equations

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Honghu Liu

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Regularized reduced order models for a stochastic Burgers equation

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2017 Mickaël D. Chekroun, Honghu Liu

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, James C. McWilliams

The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories

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Niklas Boers, Mickael D. Chekroun

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, Honghu Liu

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, Dmitri Kondrashov

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, Denis-Didier Rousseau

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, Anders Svensson

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, Matthias Bigler

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Inverse stochastic-dynamic models for high-resolution Greenland ice-core records

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Honghu Liu

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Galerkin approximations of nonlinear optimal control problems in Hilbert spaces

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2016 Mickael D. Chekroun, Honghu Liu

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Post-processing finite-horizon parameterizing manifolds for optimal control of nonlinear parabolic PDEs

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2015 Mickaël D. Chekroun, Michael Ghil, Honghu Liu

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, Shouhong Wang

Low-Dimensional Galerkin Approximations of Nonlinear Delay Differential Equations

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