Lijian Jiang

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 38

Top Topics

Variational Bayesian

Dynamical Systems

Inverse Problems

Top Venues

J. Comput. Phys.

J. Comput. Appl. Math.

Multiscale Model. Simul.

Publications

Ningxin Liu, Lijian Jiang
Perron-Frobenius Operator Filter for Stochastic Dynamical Systems. SIAM/ASA J. Uncertain. Quantification 12 (1) (2024)
Dengfei Zeng, Lijian Jiang
Ensemble Transport Filter via Optimized Maximum Mean Discrepancy. CoRR (2024)
Xiaofei Guan, Lijian Jiang, Yajun Wang
Regularized coupling multiscale method for thermomechanical coupled problems. J. Comput. Phys. 499 (2024)
Xiaofei Guan, Lijian Jiang, Yajun Wang, Zihao Yang
Localized subspace iteration methods for elliptic multiscale problems. CoRR (2024)
Xuhan Zhang, Lijian Jiang
Convolutional neural network based reduced order modeling for multiscale problems. CoRR (2024)
Xuehan Zhang, Lijian Jiang
Conditional variational autoencoder with Gaussian process regression recognition for parametric models. J. Comput. Appl. Math. 438 (2024)
Mengnan Li, Lijian Jiang
Data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media. J. Comput. Phys. 474 (2023)
Xuehan Zhang, Lijian Jiang
Conditional variational autoencoder with Gaussian process regression recognition for parametric models. CoRR (2023)
Meng Zhao, Lijian Jiang
Data-driven probability density forecast for stochastic dynamical systems. J. Comput. Phys. 492 (2023)
Ningxin Liu, Lijian Jiang
Perron-Frobenius operator filter for stochastic dynamical systems. CoRR (2023)
Xiaofei Guan, Lijian Jiang, Yajun Wang, Zihao Yang
A coupling generalized multiscale finite element method for coupled thermomechanical problems. CoRR (2023)
Xiaofei Guan, Lijian Jiang, Yajun Wang
Multiscale model reduction for stochastic elasticity problems using ensemble variable-separated method. J. Comput. Appl. Math. 421 (2023)
Lijian Jiang, Ningxin Liu
Correcting noisy dynamic mode decomposition with Kalman filters. J. Comput. Phys. 461 (2022)
Mengnan Li, Lijian Jiang
Reduced-order modeling for Koopman operators of nonautonomous dynamic systems in multiscale media. CoRR (2022)
Lijian Jiang, Mengnan Li, Meng Zhao
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise. Multiscale Model. Simul. 20 (3) (2022)
Meng Zhao, Lijian Jiang
Data-driven probability density forecast for stochastic dynamical systems. CoRR (2022)
Lijian Jiang, Mengnan Li, Meng Zhao
Online multiscale model reduction for nonlinear stochastic PDEs with multiplicative noise. CoRR (2022)
Yuming Ba, Lijian Jiang
A residual-driven adaptive Gaussian mixture approximation for Bayesian inverse problems. J. Comput. Appl. Math. 399 (2022)
Shan Zhang, Xiaofei Guan, Lijian Jiang
Convergence analysis of constraint energy minimizing generalized multiscale finite element method for a linear stochastic parabolic partial differential equation driven by additive noises. J. Comput. Appl. Math. 389 (2021)
Xiaoyan Song, Guang-Hui Zheng, Lijian Jiang
Variational Bayesian inversion for the reaction coefficient in space-time nonlocal diffusion equations. Adv. Comput. Math. 47 (3) (2021)
Yuming Ba, Lijian Jiang
A two-stage variable-separation Kalman filter for data assimilation. J. Comput. Phys. 434 (2021)
Mengnan Li, Lijian Jiang
Deep learning nonlinear multiscale dynamic problems using Koopman operator. J. Comput. Phys. 446 (2021)
Xiaoyan Song, Lijian Jiang, Guang-Hui Zheng
Implicit sampling for hierarchical Bayesian inversion and applications in fractional multiscale diffusion models. J. Comput. Appl. Math. 375 (2020)
Na Ou, Guang Lin, Lijian Jiang
A Low-Rank Approximated Multiscale Method for Pdes With Random Coefficients. Multiscale Model. Simul. 18 (4) (2020)
Xiaoyan Song, Guang-Hui Zheng, Lijian Jiang
Identification of the reaction coefficient in time fractional diffusion equations. J. Comput. Appl. Math. 345 (2019)
Mengnan Li, Eric T. Chung, Lijian Jiang
A Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Parabolic Equations. Multiscale Model. Simul. 17 (3) (2019)
Qiuqi Li, Lijian Jiang
A multiscale virtual element method for elliptic problems in heterogeneous porous media. J. Comput. Phys. 388 (2019)
Lingling Ma, Lijian Jiang
Convergence analysis for GMsFEM approximation of elliptic eigenvalue problems. J. Comput. Appl. Math. 327 (2018)
Yuming Ba, Lijian Jiang, Na Ou
A two-stage ensemble Kalman filter based on multiscale model reduction for inverse problems in time fractional diffusion-wave equations. J. Comput. Phys. 374 (2018)
Lijian Jiang, Na Ou
Bayesian Inference Using Intermediate Distribution Based on Coarse Multiscale Model for Time Fractional Diffusion Equations. Multiscale Model. Simul. 16 (1) (2018)
Fuchen Chen, Eric T. Chung, Lijian Jiang
Adaptive Least-Squares Mixed Generalized Multiscale Finite Element Methods. Multiscale Model. Simul. 16 (2) (2018)
Lijian Jiang, Qiuqi Li
Model reduction method using variable-separation for stochastic saddle point problems. J. Comput. Phys. 354 (2018)
Lijian Jiang, Na Ou
Multiscale model reduction method for Bayesian inverse problems of subsurface flow. J. Comput. Appl. Math. 319 (2017)
Lijian Jiang, Qiuqi Li
Model's sparse representation based on reduced mixed GMsFE basis methods. J. Comput. Phys. 338 (2017)
Qiuqi Li, Lijian Jiang
A Novel Variable-Separation Method Based on Sparse and Low Rank Representation for Stochastic Partial Differential Equations. SIAM J. Sci. Comput. 39 (6) (2017)
Lijian Jiang, Qiuqi Li
Reduced multiscale finite element basis methods for elliptic PDEs with parameterized inputs. J. Comput. Appl. Math. 301 (2016)
Huailing Song, Lijian Jiang, Qiuqi Li
A reduced order method for Allen-Cahn equations. J. Comput. Appl. Math. 292 (2016)
Lijian Jiang, Xinping Li
Multi-element least square HDMR methods and their applications for stochastic multiscale model reduction. J. Comput. Phys. 294 (2015)
Huailing Song, Lijian Jiang, Gaojie Chen
Convergence analysis of hybrid expanded mixed finite element method for elliptic equations. Comput. Math. Appl. 68 (10) (2014)
Lijian Jiang, J. David Moulton, Jia Wei
A Hybrid HDMR for Mixed Multiscale Finite Element Methods with Application to Flows in Random Porous Media. Multiscale Model. Simul. 12 (1) (2014)
Xinguang He, Lijian Jiang
An upscaling method using coefficient splitting and its applications to elliptic PDEs. Comput. Math. Appl. 65 (4) (2013)
Lijian Jiang, Dylan Copeland, J. David Moulton
Expanded Mixed Multiscale Finite Element Methods and Their Applications for Flows in Porous Media. Multiscale Model. Simul. 10 (2) (2012)
Lijian Jiang, Michael Presho
A Resourceful Splitting Technique with Applications to Deterministic and Stochastic Multiscale Finite Element Methods. Multiscale Model. Simul. 10 (3) (2012)
Lijian Jiang, Craig C. Douglas
An analysis of 4D variational data assimilation and its application. Computing 84 (1-2) (2009)
Jørg E. Aarnes, Yalchin Efendiev, Lijian Jiang
Mixed Multiscale Finite Element Methods Using Limited Global Information. Multiscale Model. Simul. 7 (2) (2008)