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ORCIDZhiping Mao
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Journal Articles
- 2024
[j17]Ziqi Ma, Zhiping Mao, Jie Shen
:
Efficient and stable SAV-based methods for gradient flows arising from deep learning. J. Comput. Phys. 505: 112911 (2024)- 2023
- [j16]Jiaqi Lv, Qizhen Hong, Xiaoyong Wang, Zhiping Mao, Quanhua Sun:
DeepStSNet: Reconstructing the quantum state-resolved thermochemical nonequilibrium flowfield using deep neural operator learning with scarce data. J. Comput. Phys. 491: 112344 (2023) - [j15]Dan Ling, Zhiping Mao:
Analysis and Hermite Spectral Approximation of Diffusive-Viscous Wave Equations in Unbounded Domains Arising in Geophysics. J. Sci. Comput. 95(2): 51 (2023) - 2022
- [j14]Xuhui Meng, Liu Yang, Zhiping Mao, José del Águila Ferrandis, George Em Karniadakis:
Learning functional priors and posteriors from data and physics. J. Comput. Phys. 457: 111073 (2022) - [j13]Yue Zhao, Zhiping Mao, Ling Guo, Yifa Tang, George Em Karniadakis:
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition. J. Comput. Phys. 461: 111213 (2022) - [j12]Ameya D. Jagtap, Zhiping Mao, Nikolaus A. Adams, George Em Karniadakis:
Physics-informed neural networks for inverse problems in supersonic flows. J. Comput. Phys. 466: 111402 (2022) - 2021
- [j11]Zhiping Mao, Lu Lu, Olaf Marxen, Tamer A. Zaki, George Em Karniadakis:
DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators. J. Comput. Phys. 447: 110698 (2021) - [j10]Lu Lu, Xuhui Meng, Zhiping Mao, George Em Karniadakis:
DeepXDE: A Deep Learning Library for Solving Differential Equations. SIAM Rev. 63(1): 208-228 (2021) - 2020
- [j9]Anna Lischke, Guofei Pang, Mamikon A. Gulian, Fangying Song, Christian Glusa, Xiaoning Zheng, Zhiping Mao, Wei Cai, Mark M. Meerschaert, Mark Ainsworth, George Em Karniadakis:
What is the fractional Laplacian? A comparative review with new results. J. Comput. Phys. 404 (2020) - 2019
- [j8]Nan Wang, Zhiping Mao, Chengming Huang, George E. Karniadakis:
A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions. SIAM J. Sci. Comput. 41(3): A1840-A1866 (2019) - 2018
- [j7]Zhiping Mao, Jie Shen:
Spectral element method with geometric mesh for two-sided fractional differential equations. Adv. Comput. Math. 44(3): 745-771 (2018) - [j6]Zhiping Mao, George E. Karniadakis:
A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative. SIAM J. Numer. Anal. 56(1): 24-49 (2018) - 2017
- [j5]Zhiping Mao, George E. Karniadakis:
Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods. J. Comput. Phys. 336: 143-163 (2017) - [j4]Mark Ainsworth, Zhiping Mao:
Analysis and Approximation of a Fractional Cahn-Hilliard Equation. SIAM J. Numer. Anal. 55(4): 1689-1718 (2017) - [j3]Fanhai Zeng, Zhiping Mao, George E. Karniadakis:
A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities. SIAM J. Sci. Comput. 39(1) (2017) - [j2]Zhiping Mao, Jie Shen:
Hermite Spectral Methods for Fractional PDEs in Unbounded Domains. SIAM J. Sci. Comput. 39(5) (2017) - 2016
- [j1]Zhiping Mao, Jie Shen:
Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients. J. Comput. Phys. 307: 243-261 (2016)
Conference and Workshop Papers
- 2020
- [c1]Lu Lu, Xuhui Meng, Zhiping Mao, George Em Karniadakis:
DeepXDE: A Deep Learning Library for Solving Differential Equations. AAAI Spring Symposium: MLPS 2020
Informal and Other Publications
- 2023
- [i7]Zhiping Mao, Xuhui Meng:
Physics-informed neural networks with residual/gradient-based adaptive sampling methods for solving PDEs with sharp solutions. CoRR abs/2302.08035 (2023) - [i6]Bin Lin, Zhiping Mao, Zhicheng Wang, George Em Karniadakis:
Operator Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Characterized by Sharp Solutions. CoRR abs/2310.19590 (2023) - 2022
- [i5]Ameya D. Jagtap, Zhiping Mao, Nikolaus A. Adams, George Em Karniadakis:
Physics-informed neural networks for inverse problems in supersonic flows. CoRR abs/2202.11821 (2022) - [i4]Dan Ling, Zhiping Mao:
Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. CoRR abs/2211.04690 (2022) - 2021
- [i3]Shengze Cai, Zhiping Mao, Zhicheng Wang, Minglang Yin, George Em Karniadakis:
Physics-informed neural networks (PINNs) for fluid mechanics: A review. CoRR abs/2105.09506 (2021) - [i2]Xuhui Meng, Liu Yang, Zhiping Mao, José del Águila Ferrandis, George Em Karniadakis:
Learning Functional Priors and Posteriors from Data and Physics. CoRR abs/2106.05863 (2021) - 2019
- [i1]Lu Lu, Xuhui Meng, Zhiping Mao, George E. Karniadakis:
DeepXDE: A deep learning library for solving differential equations. CoRR abs/1907.04502 (2019)
Coauthor Index
aka: George E. Karniadakis
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