Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung (Multiscale Model. Simul., 2014)

Multiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Jun Ren (Comput., 2015)

Residual-driven online generalized multiscale finite element methods. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung (J. Comput. Phys., 2015)

Mixed GMsFEM for the simulation of waves in highly heterogeneous media. - Eric T. Chung 001; Wing Tat Leung (J. Comput. Appl. Math., 2016)

Goal-oriented adaptivity for GMsFEM. - Eric T. Chung 001; Wing Tat Leung; Sara N. Pollock (J. Comput. Appl. Math., 2016)

Mixed GMsFEM for second order elliptic problem in perforated domains. - Eric T. Chung 001; Wing Tat Leung; Maria V. Vasilyeva (J. Comput. Appl. Math., 2016)

Upscaled Model for Mixed Dimensional Coupled Flow Problem in Fractured Porous Media Using Non-local Multicontinuum (NLMC) Method. - Maria V. Vasilyeva; Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Yating Wang (FDM, 2018)

Generalized multiscale finite element methods for space-time heterogeneous parabolic equations. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Shuai Ye (Comput. Math. Appl., 2018)

Multiscale model reduction for transport and flow problems in perforated domains. - Eric T. Chung 001; Wing Tat Leung; Maria V. Vasilyeva; Yating Wang (J. Comput. Appl. Math., 2018)

Fast online generalized multiscale finite element method using constraint energy minimization. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung (J. Comput. Phys., 2018)

Non-local multi-continua upscaling for flows in heterogeneous fractured media. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Maria V. Vasilyeva; Yating Wang (J. Comput. Phys., 2018)

Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Zhiwen Zhang 001 (J. Comput. Phys., 2018)

An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung (Multiscale Model. Simul., 2018)

Space-Time Nonlinear Upscaling Framework Using Non-local Multi-continuum Approach. - Wing Tat Leung; Eric T. Chung 001; Yalchin Efendiev; Maria V. Vasilyeva; Mary F. Wheeler (CoRR, 2019)

A Generalized Multiscale Finite Element Method (GMsFEM) for perforated domain flows with Robin boundary conditions. - Denis Spiridonov; Maria V. Vasilyeva; Wing Tat Leung (J. Comput. Appl. Math., 2019)

Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC). - Maria V. Vasilyeva; Eric T. Chung 001; Wing Tat Leung; Yating Wang; Denis Spiridonov (J. Comput. Appl. Math., 2019)

Multiscale stabilization for convection-diffusion equations with heterogeneous velocity and diffusion coefficients. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung (Comput. Math. Appl., 2020)

Nonlocal multicontinua with Representative Volume Elements. Bridging separable and non-separable scales. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Maria V. Vasilyeva (CoRR, 2020)

Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations. - Zecheng Zhang; Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung (CoRR, 2020)

A multi-stage deep learning based algorithm for multiscale modelreduction. - Eric T. Chung 001; Wing Tat Leung; Sai-Mang Pun; Zecheng Zhang (CoRR, 2020)

Multi-agent Reinforcement Learning Accelerated MCMC on Multiscale Inversion Problem. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Sai-Mang Pun; Zecheng Zhang (CoRR, 2020)

Constraint energy minimizing generalized multiscale discontinuous Galerkin method. - Siu Wun Cheung; Eric T. Chung 001; Wing Tat Leung (J. Comput. Appl. Math., 2020)

Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems. - Hanyu Li; Wing Tat Leung; Mary F. Wheeler (J. Comput. Phys., 2020)

Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. - Maria V. Vasilyeva; Wing Tat Leung; Eric T. Chung 001; Yalchin Efendiev; Mary F. Wheeler (J. Comput. Phys., 2020)

Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction. - Min Wang; Siu Wun Cheung; Wing Tat Leung; Eric T. Chung 001; Yalchin Efendiev; Mary F. Wheeler (J. Comput. Phys., 2020)

Space-time Non-local multi-continua upscaling for parabolic equations with moving channelized media. - Jiuhua Hu; Wing Tat Leung; Eric T. Chung 001; Yalchin Efendiev; Sai-Mang Pun (CoRR, 2021)

Contrast-independent partially explicit time discretizations for nonlinear multiscale problems. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Wenyuan Li 004 (CoRR, 2021)

Partially Explicit Time Discretization for Time Fractional Diffusion Equation. - Jiuhua Hu; Anatoly A. Alikhanov; Yalchin Efendiev; Wing Tat Leung (CoRR, 2021)

HEI: hybrid explicit-implicit learning for multiscale problems. - Yalchin Efendiev; Wing Tat Leung; Guang Lin 001; Zecheng Zhang (CoRR, 2021)

A multi-stage deep learning based algorithm for multiscale model reduction. - Eric T. Chung 001; Wing Tat Leung; Sai-Mang Pun; Zecheng Zhang (J. Comput. Appl. Math., 2021)

Contrast-independent partially explicit time discretizations for multiscale flow problems. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Petr N. Vabishchevich (J. Comput. Phys., 2021)

Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media. - Siu Wun Cheung; Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung (Multiscale Model. Simul., 2021)

Iterative oversampling technique for constraint energy minimizing generalized multiscale finite element method in the mixed formulation. - Siu Wun Cheung; Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Sai-Mang Pun (Appl. Math. Comput., 2022)

Partially explicit time discretization for nonlinear time fractional diffusion equations. - Wenyuan Li 004; Anatoly A. Alikhanov; Yalchin Efendiev; Wing Tat Leung (Commun. Nonlinear Sci. Numer. Simul., 2022)

BelNet: Basis enhanced learning, a mesh-free neural operator. - Zecheng Zhang; Wing Tat Leung; Hayden Schaeffer (CoRR, 2022)

Continuous data assimilation for two-phase flow: Analysis and simulations. - Yat Tin Chow; Wing Tat Leung; Ali Pakzad (J. Comput. Phys., 2022)

Contrast-independent partially explicit time discretizations for multiscale wave problems. - Eric T. Chung 001; Yalchin Efendiev; Wing Tat Leung; Petr N. Vabishchevich (J. Comput. Phys., 2022)

Efficient hybrid explicit-implicit learning for multiscale problems. - Yalchin Efendiev; Wing Tat Leung; Guang Lin 001; Zecheng Zhang (J. Comput. Phys., 2022)

NH-PINN: Neural homogenization-based physics-informed neural network for multiscale problems. - Wing Tat Leung; Guang Lin 001; Zecheng Zhang (J. Comput. Phys., 2022)

Multirate Partially Explicit Scheme for Multiscale Flow Problems. - Wing Tat Leung; Yating Wang (SIAM J. Sci. Comput., 2022)

AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems. - Yating Wang; Wing Tat Leung; Guang Lin 001 (Multiscale Model. Simul., 2022)

Partially Explicit Generalized Multiscale Method for Poroelasticity Problem. - Xin Su; Wing Tat Leung; Wenyuan Li 004; Sai-Mang Pun (CoRR, 2023)

Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. - Yalchin Efendiev; Wing Tat Leung; Wenyuan Li 004; Sai-Mang Pun; Petr N. Vabishchevich (J. Comput. Phys., 2023)

Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. - Yalchin Efendiev; Wing Tat Leung (J. Comput. Phys., 2023)

Hybrid explicit-implicit learning for multiscale problems with time dependent source. - Yalchin Efendiev; Wing Tat Leung; Wenyuan Li 004; Zecheng Zhang (Commun. Nonlinear Sci. Numer. Simul., 2023)

An adaptive space and time method in partially explicit splitting scheme for multiscale flow problems. - Yating Wang; Wing Tat Leung (Comput. Math. Appl., 2023)

Multi-agent Reinforcement Learning Aided Sampling Algorithms for a Class of Multiscale Inverse Problems. - Eric T. Chung 001; Wing Tat Leung; Sai-Mang Pun; Zecheng Zhang (J. Sci. Comput., 2023)

Partially explicit splitting scheme with explicit-implicit-null method for nonlinear multiscale flow problems. - Yating Wang; Wing Tat Leung (Commun. Nonlinear Sci. Numer. Simul., 2024)

Some convergence analysis for multicontinuum homogenization. - Wing Tat Leung (CoRR, 2024)

Multicontinuum splitting scheme for multiscale flow problems. - Yalchin Efendiev; Wing Tat Leung; Buzheng Shan; Min Wang (CoRR, 2024)

Parallel in time partially explicit splitting scheme for high contrast multiscale problems. - Zhengya Yang; Yating Wang; Wing Tat Leung (CoRR, 2024)

Partially explicit generalized multiscale finite element methods for poroelasticity problem. - Xin Su; Wing Tat Leung; Wenyuan Li 004; Sai-Mang Pun (J. Comput. Appl. Math., 2024)

Multicontinuum homogenization. General theory and applications. - Eric T. Chung 001; Yalchin Efendiev; Juan Galvis; Wing Tat Leung (J. Comput. Phys., 2024)

Learning-based multi-continuum model for multiscale flow problems. - Fan Wang; Yating Wang; Wing Tat Leung; Zongben Xu (J. Comput. Phys., 2024)

Bayesian Deep Operator Learning for Homogenized to Fine-Scale Maps for Multiscale PDE. - Zecheng Zhang; Christian Moya; Wing Tat Leung; Guang Lin 001; Hayden Schaeffer (Multiscale Model. Simul., 2024)

Partially explicit splitting method for a multi-physics problem. - Wing Tat Leung; Wenyuan Li 004 (J. Comput. Appl. Math., 2024)

Space-time non-local multi-continua multiscale method for channelized-media parabolic equations. - Jiuhua Hu; Wing Tat Leung; Eric T. Chung 001 (J. Comput. Appl. Math., 2025)

A discretization-invariant extension and analysis of some deep operator networks. - Zecheng Zhang; Wing Tat Leung; Hayden Schaeffer (J. Comput. Appl. Math., 2025)

Upscaling of master equations in heterogeneous environments. Multicontinuum master equations. - Yalchin Efendiev; Wing Tat Leung; Mojdeh Rasoulzadeh (J. Comput. Phys., 2025)

An exponential integrator multicontinuum homogenization method for fractional diffusion problem with multiscale coefficients. - Yifei Gao; Yating Wang; Wing Tat Leung; Zhengya Yang (J. Comput. Phys., 2025)

Multicontinuum homogenization in perforated domains. - Wei Xie; Yalchin Efendiev; Yunqing Huang; Wing Tat Leung; Yin Yang 003 (J. Comput. Phys., 2025)

Multiscale Partially Explicit Splitting with Mass Lumping for High-Contrast Wave Equations. - Shu Fan Li; Wing Tat Leung (CoRR, 2025)

A Randomized GMsFEM with Data-Driven Predictors for Parametric Flow Problems in Multiscale Heterogeneous Media. - Wing Tat Leung; Qiuqi Li; Songwei Liu (CoRR, 2025)

Multicontinuum homogenization for coupled flow and transport equations. - Dmitry Ammosov; Jian Huang; Wing Tat Leung; Buzheng Shan (J. Comput. Appl. Math., 2026)

Temporal splitting with Explicit-Implicit-Null method for nonlinear generalized multiscale subdiffusion equations. - Zhengya Yang; Yating Wang; Wing Tat Leung (J. Comput. Appl. Math., 2026)