Background Information: 

Prof. Mao obtained his Bachelor’s degree in 2009 from Chongqing University and PhD degree in 2015 from Xiamen University. He then joined in the Division of Applied Mathematics, Brown University as a Postdoc. He mainly interested in numerical solutions of PDEs and deep learning, and he published more than 30 SCI papers on top journal such as SIREV, SINUM, JCP, SISC, CMAME, including 9 highly cited papers (2 of them are hot papers).

Research Field:

Research interest is on developing and analyzing efficient and high accuracy numerical methods, especially spectral methods, for PDEs as well as fast solvers for algebraic systems, Deep learning for solving PDEs, machine learning for microscopic and macroscopic models. Specific research topics include spectral/spectral element methods for PDEs, numerical analysis for the well-poseness, stability and error estimates etc., machine learning applied to data-driven multiscale modeling of social dynamics, physical-informed neural networks and deep operator learning using multifidly data for complex fluid dynamics, and phase field modelling, analysis, and simulation.

Educational Background:

2009.09-2015.06: PhD. (majoring in Computational Mathematics), School of Mathematical Sciences, Xiamen University

2005.09-2009.06: Bachelor (majoring in Information and Computational Sciences), School of Mathematics and Statistics, Chongqing University

Work Experience:

2024.03-Present: Tenured Associated Professor, Eastern Institute of Technology, Ningbo

2020.11-2024.02: Professor, School of Mathematical Sciences Xiamen University

2020.10-2020.11: Associate Professor, School of Mathematical Sciences Xiamen University

2015.10-2020.09: Postdoc, Division of Applied Mathematics, Brown University

Academic Experience:

2012.09-2013.09: Visiting Scholar, Department of Mathematics, Purdue University

2014.06-2014.09: Visiting Scholar, PNNL

Academic Part-time Jobs (Partial):

2024-2026：《Theoretical and Applied Mechanics Letters (English edition)》Associate Editor

2024-2029：《Journal of Mathematical Study》Associate Editor

2017-2020: Fractional Club Meeting on Fractional Partial Differential Equations: Theory, Numerics and Application held in Division of Applied Mathematics, Brown University

2016-Present: Reviewer of more than 20 Journals, including J. Comput. Phys.、SIAM J. Sci. Comput. SIAM J. Numer. Anal.、IMA J. Numer. Anal.、J. Sci. Comput.、Adv. Comput. Math.、Comput. Methods Appl. Mech. Engrg.

Awards and Honors:

2020: National Overseas High-level Youth Talent

Representative Works:

General Information

More than 30 SCI papers

Works Information and Citation Data

Google Scholar：

https://scholar.google.com/citations?user=XP0n5lEAAAAJ&hl=en

10 representative Works (* refers to the corresponding author, # refers to contributing equally)

1. Z. Ma, Z. Mao*, and J. Shen*, Efficient and stable SAV-based methods for gradient flows arising from deep learning, Journal of Computational Physics, 2024, 505, 112911.

2. J. Lv, Q. Hong, X. Wang, Z. Mao* and Q. Sun, DeepStSNet: Reconstructing the quantum state-resolved thermochemical nonequilibrium flowfield using deep neural operator learning with scarce data, Journal of Computational Physics, 2023, 491, 112344.

3. AD Jagtap#, Z. Mao#, N. Adams and G.E. Karniadakis, Physics-informed neural networks for inverse problems in supersonic flows, Journal of Computational Physics, 2022, 466,111402.

4. Z. Mao, L. Lu, O. Marxen, T.A Zaki and G.E. Karniadakis, DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators, Journal of Computational Physics, 2021, 447, 110698.

5. Z. Mao, A.D. Jagtap and G.E. Karniadakis, Physics-informed neural networks for high-speed flows, Computer Methods in Applied Mechanics and Engineering, 2020, 360, 112789.

6. N. Wang, Z. Mao* and G.E. Karniadakis. A spectral penalty method for two-sided fractional differential equations with general boundary conditions, SIAM Journal on Scientific Computing, 2019, 41(3), A1840-A1866.

7. Z. Mao and G.E. Karniadakis, A spectral method (of exponential convergence) for singular solutions of the diffusion equation with general two-sided fractional derivative, SIAM Journal on Numerical Analysis, 2018, 56(1), 24-49.

8. Z. Mao and J. Shen, Hermite spectral methods for fractional PDEs in unbounded domains, SIAM Journal on Scientific Computing, 2017, 39(5), A1928-A1950.

9. M Ainsworth, Z. Mao, Analysis and approximation of a fractional Cahn-Hilliard equation, SIAM Journal on Numerical Analysis, 2017, 55(4), 1689-1718.

10. Z. Mao and G.E. Karniadakis, Fractional {B}urgers equation with nonlinear non-locality: spectral vanishing viscosity and local discontinuous Galerkin methods, Journal of Computational Physics, 2017, 336, 143-163.