程婷-华中师范大学数学学院中文站

个人简介

开设课程

常微分方程，线性代数

研究方向

地球发电机模型（geodynamo system）的数值分析，数学物理反问题

教育经历

1994.9－1998.6   华中师范大学数学系本科；
1998.9－2001.6   华中师范大学数学系硕士；
2001.9－2004.8   香港中文大学数学系博士；

工作经历

2004.9－2008.6   华中师范大学数学与统计学学院讲师；
2008.7至今       华中师范大学数学与统计学学院副教授；
2012.1-2013.1    美国普渡大学数学系访问学者；

研究成果

1.Souley Agbodjan, Komivi; Ahmed, Osama Said; Messaoudi, Djemaa; Cheng, Ting; Jiang, Daijun; Quadratic convergence of Levenberg-Marquardt method for general nonlinear inverse problems with two parameters. Int. J. Comput. Math. 97 (2020), no. 10, 1949–1966.
2.Cheng, Ting; Hu, Junjun; Jiang, Daijun; Simultaneous identification of convection velocity and source strength in a convection-diffusion equation. Appl. Anal. 99 (2020), no. 12, 2170–2189. 
3.Messaoudi, Djemaa; Ahmed, Osama Said; Agbodjan, Komivi Souley; Cheng, Ting; Jiang, Daijun; Numerical recovery of magnetic diffusivity in a three dimensional spherical dynamo equation. Inverse Probl. Imaging 14 (2020), no. 5, 797–818.
4.Yang, Jinda; Zhang, Kai; Song, Haiming; Cheng, Ting; An alternating direction method of multipliers for optimal control problems constrained with elliptic equations. Adv. Appl. Math. Mech. 12 (2020), no. 2, 336–361.
5.Cheng, Ting; Ma, Lina; Shen, Jie; An efficient numerical scheme for a 3D spherical dynamo equation. J. Comput. Appl. Math. 370 (2020), 112628, 17 pp.
6.Ting Cheng, Peijun Li, Yuliang Wang, Near-field imaging of perfectly conducting grating surfaces, Journal of the Optical Society of America A,  Vol. 30, No. 12, 2473–2481, 2013
7.Cheng, Ting; Lan, Haipeng; Yang, Jinmei; Zheng, Gao-Feng; On the behavior of blow-up solutions to a parabolic problem with critical exponent，Journal of Mathematical Analysis and Applications，402(2013), no.1, 255-260.                                                                                                                                                              
8.Cheng, Ting, Error estimate of a first-order time discretization scheme for the geodynamo equations. J. Comput. Appl. Math. 219 (2008), no. 1, 35--50.
9.Cheng, Ting; Zheng, Gao-Feng, Some blow-up problems for a semilinear parabolic equation with a potential. J. Differential Equations 244 (2008), no. 4, 766--802. 
10.Cheng, Ting; Zheng, Gao-Feng, On the blow-up of solutions for some fourth order parabolic equations. Nonlinear Anal. 66 (2007), no. 11, 2500--2511.
11.Cheng, Ting, An iterative scheme for a geodynamo system. Int. J. Comput. Math. 83 (2006), no. 5-6, 487--502.
12.Cheng, Ting; Zhao, Charles Xuejin, Existence of multiple positive solutions for $-\Delta u-µ(u/\vert x\vert ^2)=u^{2^*-1}+\sigma f(x)$. Math. Methods Appl. Sci. 25 (2002), no. 15, 1307--1336.
13.Cheng, Ting, Existence of minimal positive solution for $-\Delta u-µ\frac{u}{\vert x\vert ^2}=u^{2^*-1}+\sigma f(x)$. J. Central China Normal Univ. Natur. Sci. 35 (2001), no. 2, 136--139.

研究项目

1.国家自然科学基金项目：含时变阶数分数阶扩散方程中反问题的数学理论分析和数值计算方法，2023.01-2026.12，(参加者)。
2.国家自然科学基金项目：关于Brezis-Nirenberg型问题的进一步研究，2023.01-2026.12，(参加者)。

附件

程婷

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