Liu Liu, Yating Wang, Xueyu Zhu, Zhenyi Zhu. Asymptotic-preserving neural networks for the semiconductor Boltzmann equation and its application on inverse problems. https://arxiv.org/abs/2407.16169
Zhengya Yang, Yating Wang*, Wing Tat Leung. Parallel in time partially explicit splitting scheme for high contrast multiscale problems.
Published:
Yating Wang, Bicheng Yan. On the Feasibility of An Ensemble Multi-Fidelity Neural Network for Fast Data Assimilation for Subsurface Flow in Porous Media. To appear in Expert Systems with Applications.
Fan Wang, Yating Wang*, Wing Tat Leung , Zongben Xu. Learning-based multi-continuum model for multiscale flow problems. Journal of Computational Physics (2024), Volume 514, 113222.
Yating Wang, Wing Tat Leung. Partially explicit splitting scheme with explicit-implicit-null method for nonlinear multiscale flow problems. Communications in Nonlinear Science and Numerical Simulation (2024): 108094.
Yating Wang, Liu Liu. On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation. Journal of Computational and Applied Mathematics (2024), Volume 438, 115504.
Yating Wang*, Wing Tat Leung. An adaptive space and time method in partially explicit splitting scheme for multiscale flow problems. Computers & Mathematics with Applications 144 (2023): 100-123.
Wing Tat Leung, Yating Wang*. Multirate partially explicit scheme for multiscale flow problems. SIAM Journal on Scientific Computing 44.3 (2022): A1775-A1806.
Guang Lin, Yating Wang, Zecheng Zhang, Multi-variance replica exchange SGMCMC for inverse and forward problems via Bayesian PINN. Journal of Computational Physics (2022), Volume 460, 111173.
Yating Wang, Wing Tat Leung, Guang Lin. AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems. Multiscale Modeling & Simulation 20.2 (2022): 618-640.
Yating Wang, Wei Deng, Guang Lin. An adaptive Hessian approximated stochastic gradient MCMC method. Journal of Computational Physics (2021), 110150.
Yating Wang, Wei Deng, Guang Lin. Bayesian Sparse learning with preconditioned stochastic gradient MCMC and its applications. Journal of Computational Physics (2021), 110134.
Yating Wang, Guang Lin. MFPC-Net: Multi-fidelity Physical Constrained Neural Process. CSIAM Transaction on Applied Mathematics 1 (2020), pp. 715-739.
Yating Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Min Wang. Deep Multiscale Model Learning. Journal of Computational Physics 406 (2020): 109071.
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Eduardo Gildin, Yating Wang. Jingyan Zhang. Deep Global Model Reduction Learning in Porous Media Flow Simulation. Computational Geosciences, 24.1 (2020): 261-274.
Min Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang. Prediction of Discretization of GMsFEM Using Deep Learning. Mathematics 7, no. 5 (2019): 412.
Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung, Yating Wang, Georgy Prokopev. Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media. Journal of Computational and Applied Mathematics 355 (2019): 258-267.
Maria Vasilyeva, Eric T. Chung, Wing Tat Leung, Yating Wang, Denis Spiridonov. Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC). Journal of Computational and Applied Mathematics 357 (2019): 215-227.
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva, Yating Wang. Non-local Multicontinua upscaling for flows in heterogeneous fractured media, Journal of Computational Physics 372 (2018): 22-34.
Eric T. Chung, Maria Vasilyeva, Yating Wang. Multiscale model reduction for transport and flow problems in perforated domains, Journal of Computational and Applied Mathematics, 330 (2018): 519-535 .
Na Zhang, Yating Wang, Yuhe Wang, Bicheng Yan, Qian Sun. A Locally Conservative Multiscale Finite Element Method for Multiphase Flow Simulation through Heterogeneous and Fractured Porous Media. Journal of Computational and Applied Mathematics 343 (2018): 501-519.
Na Zhang, Yating Wang, Qian Sun, Yuhe Wang. Multiscale Mass Transfer Coupling of Triple-Continuum and Discrete Fractures for Flow Simulation in Fractured Vuggy Porous Media. International Journal of Heat and Mass Transfer, 116 (2018): 484-495.
Eric T. Chung, Maria Vasilyeva, Yating Wang. A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains. Journal of Computational and Applied Mathematics, 321 (2017), pp.389-405.
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva, Yating Wang. Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains. Applicable Analysis, 2017, 96(12), pp.2002-2031.
Eric T. Chung, Yalchin Efendiev, Maria Vasilyeva, Yating Wang. A multiscale discontinuous Galerkin method in perforated domains. Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2016, 42(2), pp. 212-229 .