Approximation of stochastic invariant manifolds. Stochastic manifolds for nonlinear SPDEs I. Zbl 1319.60002
Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong |
|
2015
|
Stochastic parameterizing manifolds and non-Markovian reduced equations. Stochastic manifolds for nonlinear SPDEs II. Zbl 1331.37009
Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong |
|
2015
|
Variational approach to closure of nonlinear dynamical systems: autonomous case. Zbl 1447.37070
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C. |
|
2020
|
Dynamic transitions for quasilinear systems and Cahn-Hilliard equation with Onsager mobility. Zbl 1274.82039
Liu, Honghu; Sengul, Taylan; Wang, Shouhong |
|
2012
|
Dynamic transitions and pattern formations for a Cahn-Hilliard model with long-range repulsive interactions. Zbl 1332.35148
Liu, Honghu; Sengul, Taylan; Wang, Shouhong; Zhang, Pingwen |
|
2015
|
Low-dimensional Galerkin approximations of nonlinear delay differential equations. Zbl 1336.34088
Wang, Shouhong; Liu, Honghu; Ghil, Michael; Chekroun, Mickaël D. |
|
2016
|
The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories. Zbl 1390.34184
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C. |
|
2017
|
Regularized reduced order models for a stochastic Burgers equation. Zbl 1397.35349
Iliescu, Traian; Liu, Honghu; Xie, Xuping |
|
2018
|
Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation. Zbl 1483.76047
Mou, Changhong; Liu, Honghu; Wells, David R.; Iliescu, Traian |
|
2020
|
Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: applications to cloud-rain models. Zbl 1456.34072
Chekroun, Mickaël D.; Koren, Ilan; Liu, Honghu |
|
2020
|
Conditional Gaussian nonlinear system: a fast preconditioner and a cheap surrogate model for complex nonlinear systems. Zbl 1540.76162
Chen, Nan; Li, Yingda; Liu, Honghu |
|
2022
|
Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs. Zbl 1311.49010
Chekroun, Mickaël D.; Liu, Honghu |
|
2015
|
Goodness-of-fit measures of \(R^{2}\) for repeated measures mixed effect models. Zbl 1253.62048
Liu, Honghu; Zheng, Yan; Shen, Jie |
|
2008
|
Verifiability of the data-driven variational multiscale reduced order model. Zbl 1503.65234
Koc, Birgul; Mou, Changhong; Liu, Honghu; Wang, Zhu; Rozza, Gianluigi; Iliescu, Traian |
|
2022
|
Transitions in stochastic non-equilibrium systems: efficient reduction and analysis. Zbl 1518.60055
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C.; Wang, Shouhong |
|
2023
|
Galerkin approximations of nonlinear optimal control problems in Hilbert spaces. Zbl 1375.35560
Chekroun, Mickaël D.; Kröner, Axel; Liu, Honghu |
|
2017
|
PRESS model selection in repeated measures data. Zbl 1061.62539
Liu, Honghu; Weiss, Robert E.; Jennrich, Robert I.; Wenger, Neil S. |
|
1999
|
Shock trace prediction by reduced models for a viscous stochastic Burgers equation. Zbl 07871095
Chen, Nan; Liu, Honghu; Lu, Fei |
|
2022
|
Galerkin approximations for the optimal control of nonlinear delay differential equations. Zbl 1405.49018
Chekroun, Mickaël D.; Kröner, Axel; Liu, Honghu |
|
2018
|
Forced motion of an initially stressed rectangular plate-an elasticity solution. Zbl 0365.73066
Reismann, H.; Liu, H.-H. |
|
1977
|
Optimal parameterizing manifolds for anticipating tipping points and higher-order critical transitions. Zbl 1541.35049
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C. |
|
2023
|
Transitions in stochastic non-equilibrium systems: efficient reduction and analysis. Zbl 1518.60055
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C.; Wang, Shouhong |
|
2023
|
Optimal parameterizing manifolds for anticipating tipping points and higher-order critical transitions. Zbl 1541.35049
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C. |
|
2023
|
Conditional Gaussian nonlinear system: a fast preconditioner and a cheap surrogate model for complex nonlinear systems. Zbl 1540.76162
Chen, Nan; Li, Yingda; Liu, Honghu |
|
2022
|
Verifiability of the data-driven variational multiscale reduced order model. Zbl 1503.65234
Koc, Birgul; Mou, Changhong; Liu, Honghu; Wang, Zhu; Rozza, Gianluigi; Iliescu, Traian |
|
2022
|
Shock trace prediction by reduced models for a viscous stochastic Burgers equation. Zbl 07871095
Chen, Nan; Liu, Honghu; Lu, Fei |
|
2022
|
Variational approach to closure of nonlinear dynamical systems: autonomous case. Zbl 1447.37070
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C. |
|
2020
|
Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation. Zbl 1483.76047
Mou, Changhong; Liu, Honghu; Wells, David R.; Iliescu, Traian |
|
2020
|
Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: applications to cloud-rain models. Zbl 1456.34072
Chekroun, Mickaël D.; Koren, Ilan; Liu, Honghu |
|
2020
|
Regularized reduced order models for a stochastic Burgers equation. Zbl 1397.35349
Iliescu, Traian; Liu, Honghu; Xie, Xuping |
|
2018
|
Galerkin approximations for the optimal control of nonlinear delay differential equations. Zbl 1405.49018
Chekroun, Mickaël D.; Kröner, Axel; Liu, Honghu |
|
2018
|
The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories. Zbl 1390.34184
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C. |
|
2017
|
Galerkin approximations of nonlinear optimal control problems in Hilbert spaces. Zbl 1375.35560
Chekroun, Mickaël D.; Kröner, Axel; Liu, Honghu |
|
2017
|
Low-dimensional Galerkin approximations of nonlinear delay differential equations. Zbl 1336.34088
Wang, Shouhong; Liu, Honghu; Ghil, Michael; Chekroun, Mickaël D. |
|
2016
|
Approximation of stochastic invariant manifolds. Stochastic manifolds for nonlinear SPDEs I. Zbl 1319.60002
Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong |
|
2015
|
Stochastic parameterizing manifolds and non-Markovian reduced equations. Stochastic manifolds for nonlinear SPDEs II. Zbl 1331.37009
Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong |
|
2015
|
Dynamic transitions and pattern formations for a Cahn-Hilliard model with long-range repulsive interactions. Zbl 1332.35148
Liu, Honghu; Sengul, Taylan; Wang, Shouhong; Zhang, Pingwen |
|
2015
|
Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs. Zbl 1311.49010
Chekroun, Mickaël D.; Liu, Honghu |
|
2015
|
Dynamic transitions for quasilinear systems and Cahn-Hilliard equation with Onsager mobility. Zbl 1274.82039
Liu, Honghu; Sengul, Taylan; Wang, Shouhong |
|
2012
|
Goodness-of-fit measures of \(R^{2}\) for repeated measures mixed effect models. Zbl 1253.62048
Liu, Honghu; Zheng, Yan; Shen, Jie |
|
2008
|
PRESS model selection in repeated measures data. Zbl 1061.62539
Liu, Honghu; Weiss, Robert E.; Jennrich, Robert I.; Wenger, Neil S. |
|
1999
|
Forced motion of an initially stressed rectangular plate-an elasticity solution. Zbl 0365.73066
Reismann, H.; Liu, H.-H. |
|
1977
|