Lijian Jiang

Orcid: 0000-0002-3410-1219

According to our database1, Lijian Jiang authored at least 42 papers between 2008 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Perron-Frobenius Operator Filter for Stochastic Dynamical Systems.
SIAM/ASA J. Uncertain. Quantification, March, 2024

Conditional variational autoencoder with Gaussian process regression recognition for parametric models.
J. Comput. Appl. Math., March, 2024

Regularized coupling multiscale method for thermomechanical coupled problems.
J. Comput. Phys., February, 2024

Estimate of Koopman modes and eigenvalues with Kalman Filter.
CoRR, 2024

Ensemble Transport Filter via Optimized Maximum Mean Discrepancy.
CoRR, 2024

Convolutional neural network based reduced order modeling for multiscale problems.
CoRR, 2024

Localized subspace iteration methods for elliptic multiscale problems.
CoRR, 2024

2023
Data-driven probability density forecast for stochastic dynamical systems.
J. Comput. Phys., November, 2023

Data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media.
J. Comput. Phys., February, 2023

Multiscale model reduction for stochastic elasticity problems using ensemble variable-separated method.
J. Comput. Appl. Math., 2023

A coupling generalized multiscale finite element method for coupled thermomechanical problems.
CoRR, 2023

2022
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise.
Multiscale Model. Simul., September, 2022

Correcting noisy dynamic mode decomposition with Kalman filters.
J. Comput. Phys., 2022

A residual-driven adaptive Gaussian mixture approximation for Bayesian inverse problems.
J. Comput. Appl. Math., 2022

Reduced-order modeling for Koopman operators of nonautonomous dynamic systems in multiscale media.
CoRR, 2022

2021
Deep learning nonlinear multiscale dynamic problems using Koopman operator.
J. Comput. Phys., 2021

A two-stage variable-separation Kalman filter for data assimilation.
J. Comput. Phys., 2021

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., 2021

Variational Bayesian inversion for the reaction coefficient in space-time nonlocal diffusion equations.
Adv. Comput. Math., 2021

2020
A Low-Rank Approximated Multiscale Method for Pdes With Random Coefficients.
Multiscale Model. Simul., 2020

Implicit sampling for hierarchical Bayesian inversion and applications in fractional multiscale diffusion models.
J. Comput. Appl. Math., 2020

2019
A Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Parabolic Equations.
Multiscale Model. Simul., 2019

A multiscale virtual element method for elliptic problems in heterogeneous porous media.
J. Comput. Phys., 2019

Identification of the reaction coefficient in time fractional diffusion equations.
J. Comput. Appl. Math., 2019

2018
Bayesian Inference Using Intermediate Distribution Based on Coarse Multiscale Model for Time Fractional Diffusion Equations.
Multiscale Model. Simul., 2018

Adaptive Least-Squares Mixed Generalized Multiscale Finite Element Methods.
Multiscale Model. Simul., 2018

Model reduction method using variable-separation for stochastic saddle point problems.
J. Comput. Phys., 2018

A two-stage ensemble Kalman filter based on multiscale model reduction for inverse problems in time fractional diffusion-wave equations.
J. Comput. Phys., 2018

Convergence analysis for GMsFEM approximation of elliptic eigenvalue problems.
J. Comput. Appl. Math., 2018

2017
A Novel Variable-Separation Method Based on Sparse and Low Rank Representation for Stochastic Partial Differential Equations.
SIAM J. Sci. Comput., 2017

Model's sparse representation based on reduced mixed GMsFE basis methods.
J. Comput. Phys., 2017

Multiscale model reduction method for Bayesian inverse problems of subsurface flow.
J. Comput. Appl. Math., 2017

2016
A reduced order method for Allen-Cahn equations.
J. Comput. Appl. Math., 2016

Reduced multiscale finite element basis methods for elliptic PDEs with parameterized inputs.
J. Comput. Appl. Math., 2016

2015
Multi-element least square HDMR methods and their applications for stochastic multiscale model reduction.
J. Comput. Phys., 2015

2014
A Hybrid HDMR for Mixed Multiscale Finite Element Methods with Application to Flows in Random Porous Media.
Multiscale Model. Simul., 2014

Convergence analysis of hybrid expanded mixed finite element method for elliptic equations.
Comput. Math. Appl., 2014

2013
An upscaling method using coefficient splitting and its applications to elliptic PDEs.
Comput. Math. Appl., 2013

2012
A Resourceful Splitting Technique with Applications to Deterministic and Stochastic Multiscale Finite Element Methods.
Multiscale Model. Simul., 2012

Expanded Mixed Multiscale Finite Element Methods and Their Applications for Flows in Porous Media.
Multiscale Model. Simul., 2012

2009
An analysis of 4D variational data assimilation and its application.
Computing, 2009

2008
Mixed Multiscale Finite Element Methods Using Limited Global Information.
Multiscale Model. Simul., 2008


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