鄭光輝(湖南大學數學學院副教授)

人物經歷

[1] 2012.7-present, Assistant Professor, Hunan University (湖南大學).

[2] 2007.9-2012.7, Ph.D. of applied mathematics, inverse problem for PDE, Lanzhou University (蘭州大學：碩博連讀).

[3] 2015.3-2016.3, Visting scholar, Ecole Normale Superieure (巴黎高滲設牛奔師).

講授課程

[1] Advanced Algebra.

[2] Numerical Analysis.

[3] Mathematical Software.

[4] Numerical solution of PDEs.

學術成果

主要研究方向:

（1）等離子共振分析轎危、隱形設計、超分辨成像

[3] Z. Q. Miao and G. H. Zheng, On uniqueness and nonuniqueness for potential reconstruction in quantum fields from one measurement II. the non-radial case, (2019), (Submitted).

[2] G. H. Zheng and Z. Q. Miao, On uniqueness and nonuniqueness for potential reconstruction in quantum fields from one measurement, (2019), (Submitted).

[1] G. H. Zheng, Mathematical analysis of plasmonic resonance for 2-D photonic crystal, J. Differential Equations, 266?(2019),?5095–5117.

（主雅嫌2）歸付符趨判主貝葉鍵捆紙斯統計反問題茅乘精格、偏微分方程反問題

[19] X. Y. Song, G. H. Zheng and L. J. Jiang, Variational Bayesian inversion for reaction coefficient in space-time nonlocal diffusion equations, (2019), (Submitted).

[18] M. H. Ding and G. H. Zheng, Determination of the reaction coefficient in a time dependent nonlocal diffusion process, (2019), (Submitted).

[17] G. H. Zheng and M. H. Ding, Identification of the degradation coefficient for an anomalous diffusion process in hydrology, Inverse Problems (2019) (Accepted).

[16] G. H. Zheng, Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method, Appl. Numer. Math., 135?(2019),?99–128.

[15] X. Y. Song, G. H. Zheng and L. J. Jiang, Identification of the reaction coefficient in time fractional diffusion equations, J. Comput. Appl. Math., 345?(2019),?295–309.

[14] G. H. Zheng and Q. G. Zhang, Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method, Math. Comput. Simulation, 148?(2018),?37–47.

[13] G. H. Zheng and Q. G. Zhang, Determining the initial distribution in space-fractional diffusion by a negative exponential regularization method, Inverse Problems in Science and Engineering, (2016).

[12] G. H. Zheng and Q. G. Zhang, Recovering the initial distribution for space-fractional diffusion equation by a logarithmic regularization method. Appl. Math. Lett. 61 (2016), 143–148.

[11] G. H. Zheng, Recover the solute concentration from source measurement and

boundary data, Inverse Problems in Science and Engineering, 23 (2015), 1199-1221.

[10] C. Shi, C. Wang, G. H. Zheng and T. Wei, A new a posteriori parameter

choice strategy for the convolution regularization of the space-fractional backward diffusion problem, Journal of Computational and Applied Mathematics, 279 (2015), 233-248.

[9] G. H. Zheng and T. Wei, Recover the source and initial value simultaneously

in a parabolic equation, Inverse Problems, 30 (2014), 065013 (35pp).

[8] H. Cheng, C. L. Fu, G. H. Zheng and J. Gao, A regularization for a Riesz-Feller

space-fractional backward diffusion problem, Inverse Problems in Science and Engineering, 22 (2013), 860-872.

[7] G. H. Zheng and T. Wei, A new regularization method for a Cauchy problem of the time fractional diffusion equation, Advances in Computational Mathematics, 36 (2012), 377-398.

[6] G. H. Zheng and T. Wei, A new regularization method for the time fractional

inverse advection-dispersion problem, SIAM Journal on Numerical Analysis, 49 (2011), 1972-1990.

[5] G. H. Zheng and T. Wei, A new regularization method for solving a time fractional inverse diffusion problem, Journal of Mathematical Analysis and Applications, 378 (2011), 418-431.

[4] G. H. Zheng and T. Wei, Spectral regularization method for a time fractional

inverse diffusion problem, Applied Mathematics and Computation, 218 (2011), 396-405

[3] G. H. Zheng and T. Wei, Two regularization methods for solving a Riesz-Feller

space-fractional backward diffusion problem, Inverse Problems, 26 (2010), 115017 (22pp).

[2] G. H. Zheng and T. Wei, Spectral regularization method for a Cauchy problem

of the time fractional advection-dispersion equation, Journal of Computational and Applied Mathematics, 233 (2010), 2631-2640.

[1] G. H. Zheng and T. Wei, Spectral regularization method for the time fractional inverse advection-dispersion equation, Mathematics and Computers in Simulation, 81 (2010), 37-51.

博士研究生：丁明慧

碩士研究生：苗志強、王麗麗、孫澤軍、姚遠

(歡迎有一定數學基礎，喜歡寫程式，或者對機率統計有興趣的學生報考我的研究生)

擔任下列學術期刊的審稿人，並被國際反問題權威期刊《Inverse Problems》評為2016年 “Outstanding Reviewer Awards 2016”：

Inverse Problems;

Journal of Inverse and Ill-Posed Problems;

Inverse Problems in Science and Engineering;

Journal of Physics A: Mathematical and Theoretical;

Applied Numerical Mathematics;

Mathematical Methods in the Applied Sciences;

Mathematics and Computers in Simulation;

Journal of Engineering Mathematics;

Acta Mathematica Scientia;

科研項目

[1] NSF of China (Source identification in spatial domain anomalous diffusion:

regularization theory and algorithms), January, 2014 - December, 2016.

[2] Funds for the growth of young teachers of Hunan University, September, 2012

- September, 2017.

[3] Funds for the Ph.D. academic newcomer award of Lanzhou University (Inverse

problems in Fractional PDEs), June, 2011 - June, 2012.

鄭光輝(湖南大學數學學院副教授)

基本介紹

人物經歷

講授課程

學術成果

科研項目

科研項目

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