Zhiping Mao

Publication Activity (10 Years)

Years Active: 2016-2024
Publications (10 Years): 25

Top Topics

Differential Equations

Sampling Methods

Inverse Problems

Top Venues

J. Comput. Phys.

SIAM J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Ziqi Ma, Zhiping Mao, Jie Shen
Efficient and stable SAV-based methods for gradient flows arising from deep learning. J. Comput. Phys. 505 (2024)
Zhiping Mao, Xuhui Meng
Physics-informed neural networks with residual/gradient-based adaptive sampling methods for solving PDEs with sharp solutions. CoRR (2023)
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) (2023)
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 (2023)
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 (2023)
Ameya D. Jagtap, Zhiping Mao, Nikolaus Adams, George Em Karniadakis
Physics-informed neural networks for inverse problems in supersonic flows. J. Comput. Phys. 466 (2022)
Ameya D. Jagtap, Zhiping Mao, Nikolaus Adams, George Em Karniadakis
Physics-informed neural networks for inverse problems in supersonic flows. CoRR (2022)
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 (2022)
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 (2022)
Dan Ling, Zhiping Mao
Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. CoRR (2022)
Xuhui Meng, Liu Yang, Zhiping Mao, José del Águila Ferrandis, George Em Karniadakis
Learning Functional Priors and Posteriors from Data and Physics. CoRR (2021)
Shengze Cai, Zhiping Mao, Zhicheng Wang, Minglang Yin, George Em Karniadakis
Physics-informed neural networks (PINNs) for fluid mechanics: A review. CoRR (2021)
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 (2021)
Lu Lu, Xuhui Meng, Zhiping Mao, George Em Karniadakis
DeepXDE: A Deep Learning Library for Solving Differential Equations. SIAM Rev. 63 (1) (2021)
Anna Lischke, Guofei Pang, Mamikon A. Gulian, Fangying Song, Christian A. 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)
Lu Lu, Xuhui Meng, Zhiping Mao, George Em Karniadakis
DeepXDE: A Deep Learning Library for Solving Differential Equations. AAAI Spring Symposium: MLPS (2020)
Lu Lu, Xuhui Meng, Zhiping Mao, George E. Karniadakis
DeepXDE: A deep learning library for solving differential equations. CoRR (2019)
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) (2019)
Zhiping Mao, Jie Shen
Spectral element method with geometric mesh for two-sided fractional differential equations. Adv. Comput. Math. 44 (3) (2018)
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) (2018)
Zhiping Mao, Jie Shen
Hermite Spectral Methods for Fractional PDEs in Unbounded Domains. SIAM J. Sci. Comput. 39 (5) (2017)
Zhiping Mao, George E. Karniadakis
Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods. J. Comput. Phys. 336 (2017)
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)
Mark Ainsworth, Zhiping Mao
Analysis and Approximation of a Fractional Cahn-Hilliard Equation. SIAM J. Numer. Anal. 55 (4) (2017)
Zhiping Mao, Jie Shen
Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients. J. Comput. Phys. 307 (2016)