Areas of Focus
- Inverse problems for PDEs
- Statistical inverse problems and uncertainty quantification
- Plasmon resonance
- Super-resolution imaging
- Cloaking design
- Machine learning and application in inverse problems
Work Experience
- 2023-01 to present, Hunan University, School of Mathematics, Professor
- 2017-01 to 2023-01, Hunan University, School of Mathematics, Associate Professor
- 2021-09 to 2021-12, Hong Kong Baptist University, Department of Mathematics, Visiting Scholar
- 2019-11 to 2019-12, Hong Kong Baptist University, Department of Mathematics, Visiting Scholar
- 2015-03 to 2016-03, École Normale Supérieure Paris, Department of Mathematics and Applied Mathematics, Visiting Scholar
- 2012-07 to 2017-01, Hunan University, School of Mathematics, Lecturer
- 2002-09 to 2007-01, Fujian Nan'an Vocational Secondary School, Mathematics Teacher
Academic Background & Achievements
- 2007-09—2012-06, Lanzhou University, Applied Mathematics, PhD
- 1999-09—2002-06, Hunan University of Technology, Mathematics, Bachelor of Science
Publications
- Two regularization methods for solving a Riesz-Feller space-fractional backward diffusion problem, Guang-Hui Zheng, Ting Wei, 2010
- A new regularization method for the time fractional inverse advection-dispersion problem, Guang-Hui Zheng, Ting Wei, 2011
- A new regularization method for a Cauchy problem of the time fractional diffusion equation, Guang-Hui Zheng, Ting Wei, 2012
- Recovering the source and initial value simultaneously in a parabolic equation, Guang-Hui Zheng, 2014
- Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method, Guang-Hui Zheng, 2019
- On inverse problems for several coupled PDE systems arising in mathematical biology, Ming-Hui Ding, Hongyu Liu, Guang-hui Zheng, 2023
- Identification of the degradation coefficient for an anomalous diffusion process in hydrology, Guang-Hui Zheng, Ming-Hui Ding, 2020
- Variational Bayesian inversion for the reaction coefficient in space-time nonlocal diffusion equations, Xiaoyan Song, Guang-Hui Zheng, Lijian Jiang, 2021
- Determination of the reaction coefficient in a time dependent nonlocal diffusion process, Ming-Hui Ding, Guang-Hui Zheng, 2021
- Solving linear Bayesian inverse problems using a fractional total variation-Gaussian (FTG) prior and transport map, Zejun Sun, Guang-Hui Zheng, 2023
- A Hadamard fractional total variation-Gaussian (GFTG) prior for Bayesian inverse problems, Li-Li Wang, Ming-Hui Ding, Guang-Hui Zheng, 2023
- A general fractional total variation-Gaussian (GFTG) prior for Bayesian inverse problems, Li-Li Wang, Ming-Hui Ding, Guang-Hui Zheng, 2021
- Plasmon resonances of nanorods in transverse electromagnetic scattering, Youjun Deng, Hongyu Liu, Guang-Hui Zheng, 2022
- Mathematical analysis of plasmon resonances for curved nanorods, Youjun Deng, Hongyu Liu, Guang-Hui Zheng, 2021
- Mathematical analysis of plasmonic resonance for 2-D photonic crystal, Guang-Hui Zheng, 2019
- Shape reconstructions by using plasmon resonances, Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng, 2022
- Shape reconstructions by using plasmon resonances with enhanced sensitivity, Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng, 2023
- On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement, Guang-Hui Zheng, Zhi-Qiang Miao, 2021
- On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement II. The non-radial case, Zhi-Qiang Miao, Guang-Hui Zheng, 2022
- A mathematical theory of microscale hydrodynamic cloaking and shielding by electro-osmosis, Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng, 2024
Awards
- Hunan Provincial Natural Science Second Prize (Ranked fourth), 2018
