Zhiping Mao
Zhiping Mao
School of Mathematical Sciences Xiamen University
Verified email at xmu.edu.cn
Title
Cited by
Cited by
Year
What is the fractional Laplacian?
A Lischke, G Pang, M Gulian, F Song, C Glusa, X Zheng, Z Mao, W Cai, ...
arXiv preprint arXiv:1801.09767, 2018
146*2018
DeepXDE: A deep learning library for solving differential equations
L Lu, X Meng, Z Mao, GE Karniadakis
SIAM Review 63 (1), 208-228, 2021
1282021
Analysis and approximation of a fractional Cahn--Hilliard equation
M Ainsworth, Z Mao
SIAM Journal on Numerical Analysis 55 (4), 1689-1718, 2017
922017
Efficient spectral–Galerkin methods for fractional partial differential equations with variable coefficients
Z Mao, J Shen
Journal of Computational Physics 307, 243-261, 2016
732016
Physics-informed neural networks for high-speed flows
Z Mao, AD Jagtap, GE Karniadakis
Computer Methods in Applied Mechanics and Engineering 360, 112789, 2020
702020
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
Z Mao, S Chen, J Shen
Applied Numerical Mathematics 106, 165-181, 2016
702016
A spectral method (of exponential convergence) for singular solutions of the diffusion equation with general two-sided fractional derivative
Z Mao, GE Karniadakis
SIAM Journal on Numerical Analysis 56 (1), 24-49, 2018
542018
A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities
F Zeng, Z Mao, GE Karniadakis
SIAM Journal on Scientific Computing 39 (1), A360-A383, 2017
462017
Hermite spectral methods for fractional PDEs in unbounded domains
Z Mao, J Shen
SIAM Journal on Scientific Computing 39 (5), A1928-A1950, 2017
342017
Well-posedness of the Cahn–Hilliard equation with fractional free energy and its Fourier Galerkin approximation
M Ainsworth, Z Mao
Chaos, Solitons & Fractals 102, 264-273, 2017
312017
Spectral element method with geometric mesh for two-sided fractional differential equations
Z Mao, J Shen
Advances in Computational Mathematics 44 (3), 745-771, 2018
232018
Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods
Z Mao, GE Karniadakis
Journal of Computational Physics 336, 143-163, 2017
162017
Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations
T Zhao, Z Mao, GE Karniadakis
Computer Methods in Applied Mechanics and Engineering 348, 377-395, 2019
142019
Nonlocal flocking dynamics: Learning the fractional order of pdes from particle simulations
Z Mao, Z Li, GE Karniadakis
Communications on Applied Mathematics and Computation 1 (4), 597-619, 2019
82019
A spectral penalty method for two-sided fractional differential equations with general boundary conditions
N Wang, Z Mao, C Huang, GE Karniadakis
SIAM Journal on Scientific Computing 41 (3), A1840-A1866, 2019
62019
A semi-implicit spectral deferred correction method for two water wave models with nonlocal viscous term and numerical study of their decay rates
Z Mao, J Shen
Sci Sin Math 45 (8), 1153–1168, 2015
62015
Jacobi-Galerkin spectral method for eigenvalue problems of Riesz fractional differential equations
L Chen, Z Mao, H Li
arXiv preprint arXiv:1803.03556, 2018
52018
Fractional phase-field crystal modelling: analysis, approximation and pattern formation
M Ainsworth, Z Mao
IMA Journal of Applied Mathematics 85 (2), 231-262, 2020
32020
What is the fractional Laplacian?, arXiv preprint, 2018
A Lischke, G Pang, M Gulian, F Song, C Glusa, X Zheng, Z Mao, W Cai, ...
arXiv preprint arXiv:1801.09767, 1801
31801
DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators
Z Mao, L Lu, O Marxen, TA Zaki, GE Karniadakis
arXiv preprint arXiv:2011.03349, 2020
22020
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