Zhiping Mao

发表

Physics-informed neural networks for high-speed flows

G. Karniadakis, Zhiping Mao, Ameya Dilip Jagtap, 2020, Computer Methods in Applied Mechanics and Engineering.

Separation of Up and Downstream Forced Response Excitations of an Embedded Compressor Rotor

Laith A. J. Zori, Zhiping Mao, R. Kielb, 2019, Journal of Turbomachinery.

Fractional phase-field crystal modelling: analysis, approximation and pattern formation

Mark Ainsworth, Zhiping Mao, M. Ainsworth, 2020 .

A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation

G. Karniadakis, Hong Wang, Zhiping Mao, 2020 .

A fast solver for spectral element approximation applied to fractional differential equations using hierarchical matrix approximation.

G. Karniadakis, Hong Wang, Zhiping Mao, 2018, 1808.02937.

Jacobi-Galerkin spectral method for eigenvalue problems of Riesz fractional differential equations

Zhiping Mao, Lizhen Chen, Huiyua Li, 2018, 1803.03556.

A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition

G. Karniadakis, Yifa Tang, Zhiping Mao, 2022, J. Comput. Phys..

Physics-informed neural networks for inverse problems in supersonic flows

G. Karniadakis, Zhiping Mao, Ameya Dilip Jagtap, 2022, J. Comput. Phys..

INVESTIGATION OF THE EFFECT OF WAVE REFLECTION IN THE FORCED RESPONSE STUDY OF A COMPRESSOR

Zhiping Mao, S. Hegde, 2018 .

Spectral element method with geometric mesh for two-sided fractional differential equations

Jie Shen, Zhiping Mao, 2017, Advances in Computational Mathematics.

Inferring membrane properties during clathrin-mediated endocytosis using machine learning

Zhiping Mao, Rui Ma, Zhiwei Lin, 2023, bioRxiv.

A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data

G. Karniadakis, Zhongqiang Zhang, S. Goswami, 2021, Computer Methods in Applied Mechanics and Engineering.

What is the fractional Laplacian? A comparative review with new results

Guofei Pang, Mark Ainsworth, Xiaoning Zheng, 2020, J. Comput. Phys..

Physics-informed neural networks (PINNs) for fluid mechanics: a review pdf

Minglang Yin, George Em Karniadakis, Shengze Cai, 2021, Acta Mechanica Sinica.

DeepXDE: A Deep Learning Library for Solving Differential Equations pdf

Zhiping Mao, Lu Lu, George E. Karniadakis, 2019, AAAI Spring Symposium: MLPS.

What Is the Fractional Laplacian

Wei Cai, Zhiping Mao, Mark Ainsworth, 2018, 1801.09767.

Inferring membrane properties during clathrin-mediated endocytosis using machine learning

Zhiping Mao, Rui Ma, Zhiwei Lin, 2023, bioRxiv.

Learning Functional Priors and Posteriors from Data and Physics pdf

George Em Karniadakis, Xuhui Meng, Zhiping Mao, 2021, J. Comput. Phys..

Phase field crystal based prediction of temperature and density dependence of elastic constants through a structural phase transition

M. Ainsworth, Zhiping Mao, 2019, Physical Review B.

Interaction of Concurrent Forced Response and Flutter Phenomena in a Compressor Stage

Zhiping Mao, Robert E. Kielb, Zhiping Mao, 2017 .

Influence of Rotor-Stator Interaction and Reflecting Boundary Conditions on Compressor Forced Response

Zhiping Mao, R. Kielb, Tianyu Pan, 2018, Volume 2A: Turbomachinery.

DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators

George E. Karniadakis, Tamer A. Zaki, Olaf Marxen, 2020, J. Comput. Phys..

Spectral element method with geometric mesh for two-sided fractional differential equations

Zhiping Mao, Jie Shen, Jie Shen, 2017, Advances in Computational Mathematics.

Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients

Zhiping Mao, Jie Shen, Jie Shen, 2016, J. Comput. Phys..

Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations

George Em Karniadakis, Tinggang Zhao, Zhiping Mao, 2018, Computer Methods in Applied Mechanics and Engineering.

Influence of the Temperature of Condensation Bath on Microstructure and Properties of the PU Asymmetric Membrane

Zhiping Mao, H. Yan, C. Chu, 1996 .

An Investigation on the Formation Mechanism of the Porous Structure of the PU Films

Zhiping Mao, H. Yan, C. Chu, 1995 .

Hermite Spectral Methods for Fractional PDEs in Unbounded Domains

Jie Shen, Zhiping Mao, 2017, SIAM J. Sci. Comput..

Physics-informed neural networks with residual/gradient-based adaptive sampling methods for solving partial differential equations with sharp solutions

Zhiping Mao, Xuhui Meng, 2023, Applied Mathematics and Mechanics.

Physics-informed neural networks with residual/gradient-based adaptive sampling methods for solving PDEs with sharp solutions

Zhiping Mao, Xuhui Meng, 2023, ArXiv.

A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative

Zhiping Mao, George E. Karniadakis, G. Karniadakis, 2018, SIAM J. Numer. Anal..

Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations

Jie Shen, Zhiping Mao, Sheng Chen, 2016 .

Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods

Zhiping Mao, George E. Karniadakis, G. Karniadakis, 2017, J. Comput. Phys..

Analysis and Approximation of a Fractional Cahn-Hilliard Equation

Zhiping Mao, Mark Ainsworth, M. Ainsworth, 2017, SIAM J. Numer. Anal..

A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions

Zhiping Mao, George Em Karniadakis, Chengming Huang, 2018, SIAM J. Sci. Comput..

Analysis and Hermite Spectral Approximation of Diffusive-Viscous Wave Equations in Unbounded Domains Arising in Geophysics

Zhiping Mao, Dan Ling, 2022, Journal of Scientific Computing.

Well-posedness of the Cahn–Hilliard equation with fractional free energy and its Fourier Galerkin approximation

Mark Ainsworth, Zhiping Mao, M. Ainsworth, 2017 .

Nonlocal Flocking Dynamics: Learning the Fractional Order of PDEs from Particle Simulations

Zhiping Mao, George Em Karniadakis, Zhen Li, 2018, Communications on Applied Mathematics and Computation.