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Honghu Liu
Honghu Liu
Associate Professor of Mathematics, Virginia Tech
Bestätigte E-Mail-Adresse bei vt.edu - Startseite
Titel
Zitiert von
Zitiert von
Jahr
Stochastic parameterizing manifolds and non-Markovian reduced equations: stochastic manifolds for nonlinear SPDEs II
MD Chekroun, H Liu, S Wang
Springer, 2014
902014
Approximation of stochastic invariant manifolds: stochastic manifolds for nonlinear SPDEs I
MD Chekroun, H Liu, S Wang
Springer International Publishing, 2015
782015
Data-driven correction reduced order models for the quasi-geostrophic equations: A numerical investigation
C Mou, H Liu, DR Wells, T Iliescu
International Journal of Computational Fluid Dynamics 34 (2), 147-159, 2020
412020
Variational approach to closure of nonlinear dynamical systems: Autonomous case
MD Chekroun, H Liu, JC McWilliams
Journal of Statistical Physics 179 (5), 1073-1160, 2020
372020
The emergence of fast oscillations in a reduced Primitive Equation model and its implications for closure theories
MD Chekroun, H Liu, JC McWilliams
Computers & Fluids 151 (27), 3-22, 2017
322017
Inverse stochastic–dynamic models for high-resolution Greenland ice core records
N Boers, MD Chekroun, H Liu, D Kondrashov, DD Rousseau, A Svensson, ...
Earth System Dynamics 8 (4), 1171-1190, 2017
312017
Regularized Reduced Order Models for a Stochastic Burgers Equation
T Iliescu, H Liu, X Xie
arXiv preprint (arXiv:1701.01155), 2017
312017
Low-dimensional Galerkin approximations of nonlinear delay differential equations
MD Chekroun, M Ghil, H Liu, S Wang
Discrete and Continuous Dynamical Systems - Series A 36 (8), 4133 - 4177, 2016
312016
Conditional Gaussian nonlinear system: A fast preconditioner and a cheap surrogate model for complex nonlinear systems
N Chen, Y Li, H Liu
Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (5), 2022
242022
Stochastic rectification of fast oscillations on slow manifold closures
MD Chekroun, H Liu, JC McWilliams
Proceedings of the National Academy of Sciences 118 (48), e2113650118, 2021
212021
Dynamic transitions and pattern formations for a Cahn–Hilliard model with long-range repulsive interactions
H Liu, T Sengul, S Wang, P Zhang
Communications in Mathematical Sciences 13 (5), 1289-1315, 2015
202015
Dynamic transitions for quasilinear systems and Cahn-Hilliard equation with Onsager mobility
H Liu, T Sengul, S Wang
Journal of Mathematical Physics 53 (2), 2012
202012
Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: Applications to cloud-rain models
MD Chekroun, I Koren, H Liu
Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (5), 2020
192020
Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs
MD Chekroun, H Liu
Acta Applicandae Mathematicae 135 (1), 81-144, 2015
192015
Verifiability of the data-driven variational multiscale reduced order model
B Koc, C Mou, H Liu, Z Wang, G Rozza, T Iliescu
Journal of Scientific Computing 93 (2), 54, 2022
162022
Galerkin approximations of nonlinear optimal control problems in Hilbert spaces
MD Chekroun, A Kroner, H Liu
Electron. J. Differential Equations 2017 (189), 1-40, 2017
142017
Approximation of Stochastic Invariant Manifolds, SpringerBriefs in Mathematics
MD Chekroun, H Liu, S Wang
Springer International Publishing, 2015
142015
Reduced order model closures: A brief tutorial
W Snyder, C Mou, H Liu, O San, R DeVita, T Iliescu
Recent Advances in Mechanics and Fluid-Structure Interaction with …, 2022
122022
Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control
M Akian, J Blechschmidt, ND Botkin, M Jensen, A Kröner, A Picarelli, ...
Walter de Gruyter GmbH & Co KG, 2018
112018
Transitions in stochastic non-equilibrium systems: Efficient reduction and analysis
MD Chekroun, H Liu, JC McWilliams, S Wang
Journal of Differential Equations 346, 145-204, 2023
92023
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