郑祥成
研究员
所属院部: 数学学院
访问次数:
基本信息
  • 教师拼音名称:
    Zheng Xiangcheng
  • 电子邮箱:
    xzheng@sdu.edu.cn
  • 入职时间:
    2022-12-07
  • 所在单位:
    数学学院
  • 学历:
    博士研究生毕业
  • 办公地点:
    知新楼D座748-5
  • 性别:
  • 学位:
    理学博士学位
  • 毕业院校:
    University of South Carolina
  • 博士生导师
  • 硕士生导师
学科:
计算数学;
教师简介

       郑祥成,山东大学研究员、博士生导师。2016年本科毕业于中国石油大学(华东),2020年博士毕业于University of South Carolina数学系,导师为王宏教授,2021年进入北京大学数学科学学院从事博士后研究,导师为张平文院士和张磊教授,2022年入职山东大学数学学院。主要从事非线性和非局部问题的分析与计算等方面研究,近年在ScienceSIAM系列Sci. China Math.CMAMEJCPIMAJNAIP等权威期刊发表SCI论文篇,担任SISCSIMA50SCI期刊的审稿人。

      主持国家自然科学基金、国家重点研发计划子课题、中国博士后国际交流引进项目和中国博士后科学基金等,以主要完成人获山东省自然科学二等奖一项,任第一届不确定性系统分析与仿真专业委员会委员,入选中国工业与应用数学学会“青年人才托举工程”、山东省“泰山学者”青年专家、山东大学“齐鲁青年学者”,获北京大学优秀博士后奖、University of South Carolina科研突破奖等。

      团队现有硕士研究生4名、博士后1名,氛围融洽,博士后邱文林入选国家资助博士后研究人员计划。欢迎感兴趣的同学加入我们


教育经历
  • 2012-9 — 2016-6
    中国石油大学(华东)
    石油工程
    工学学士学位
  • 2016-8 — 2020-12
    University of South Carolina
    数学
    理学博士学位
工作经历
  • 2022-12-至今
    山东大学
    研究员
  • 2021-01 — 2022-12
    北京大学
    博士后
研究领域

非线性和非局部问题的分析与计算

科研成果
研究方向

暂无内容

论文

1.  Lei Zhang , Pingwen Zhang  and Xiangcheng Zheng. Understanding high-index saddle dynamics via numerical analysis.  Commun. Math. Sci.,  2024. 

2.  Wenlin Qiu , Xiangcheng Zheng , Xiao Xu  and Hong Wang. Numerical approximation and analysis for partial integro-differential equation of hyperbolic type.  J. Integral Equ. Appl.,  36,  471--492, 2024. 

3.  Xiangcheng Zheng , Yiqun Li  and Wenlin Qiu. Local modification of subdiffusion by initial Fickian diffusion: Multiscale modeling, analysis and computation.  Multiscale Modeling & Simulation: A SIAM Interdisciplinary Journal,  2024. 

4.  Xiao Ye , Xiangcheng Zheng , Jun Liu  and Yue Liu. Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation.  Advances in Computational Mathematics,  50,  21, 2024. 

5.  Wenlin Qiu , Yiqun Li  and Xiangcheng Zheng. Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates.  Calcolo,  61,  50, 2024. 

6.  Xu Guo , Qianhui Lin , Xiangcheng Zheng , Shuo Wang , Qiao Li  and Chao Shi. Protect native fish in China's Yellow River.  Science,  383,  598--598, 2024. 

7.  Yiqun Li , Hong Wang  and Xiangcheng Zheng. Analysis and simulation of optimal control for a two-time-scale fractional advection-diffusion-reaction equation with space-time dependent order and coefficients.  Multiscale Modeling & Simulation: A SIAM Interdisciplinary Journal,  21,  1690--1716, 2023. 

8.  Xiangcheng Zheng , Zhiwei Yang , Wuchen Li  and Hong Wang. A time-fractional mean field control modeling subdiffusive advective transport.  SIAM Journal on Scientific Computing,  45,  B884--B905, 2023. 

9.  Yiqun Li , Hong Wang  and Xiangcheng Zheng. Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order.  Fractional Calculus and Applied Analysis,  26,  2337--2360, 2023. 

10.  Yiqun Li , Hong Wang  and Xiangcheng Zheng. A viscoelastic Timoshenko beam model: regularity and numerical approximation.  Journal of Scientifc Computing,  95,  57, 2023. 

11.  Hongfei Fu , Bingyin Zhang  and Xiangcheng Zheng. An analysis framework of high-order two-grid difference method with application in nonlinear time-fractional biharmonic problems.  Journal of Scientific Computing,  96,  54, 2023. 

12.  Lei Zhang , Pingwen Zhang  and Xiangcheng Zheng. Discretization and index-robust error analysis for constrained high-index saddle dynamics on high-dimensional sphere.  Science China Mathematics,  66,  2347--2360, 2023. 

13.  Lei Zhang , Pingwen Zhang  and Xiangcheng Zheng. Error estimates for Euler discretization of high-index saddle dynamics.  SIAM Journal on Numerical Analysis,  60,  2925--2944, 2022. 

14.  Yue Luo , Xiangcheng Zheng , Xiangle Cheng  and Lei Zhang. Convergence analysis for discrete high-index saddle dynamics.  SIAM Journal on Numerical Analysis,  60,  2731--2750, 2022. 

15.  Xiangcheng Zheng. Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems.  Fractional Calculus and Applied Analysis,  25,  1585--1603, 2022. 

16.  Xiangcheng Zheng  and Hong Wang. A time-stepping finite element method to a time-fractional partial differential equation of a hidden-memory space-time variable order.  Electronic Transactions on Numerical Analysis,  55,  652--670, 2022. 

17.  Bing Yu , Xiangcheng Zheng , Pingwen Zhang  and Lei Zhang. Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm.  Journal of Computational Physics,  468,  111513, 2022. 

18.  Xiangcheng Zheng , Yiqun Li  and Hong Wang. A viscoelastic Timoshenko beam: model development, analysis and investigation.  Journal of Mathematical Physics,  63,  061509, 2022. 

19.  Jinhong Jia , Hong Wang  and Xiangcheng Zheng. Numerical analysis of a fast finite element method for a hidden-memory variable-order time-fractional diffusion equation.  Journal of Scientific Computing,  91,  54, 2022. 

20.  Xiangcheng Zheng  and Hong Wang. Discretization and analysis of an optimal control of a variable-order fractional diffusion equation with pointwise constraints.  Journal of Scientific Computing,  91,  56, 2022. 

21.  Xiangcheng Zheng  and Hong Wang. Analysis and discretization of a variable-order time-fractional wave partial differential equation.  Communications in Nonlinear Science and Numerical Simulation,  104,  106047, 2022. 

22.  Huan Liu , Xiangcheng Zheng , Hongfei Fu  and Hong Wang. Error estimate of finite element approximation for two-sided space-fractional evolution equation with variable coefficient.  Journal of Scientific Computing,  90,  15, 2021. 

23.  Jinhong Jia , Xiangcheng Zheng  and Hong Wang. Analysis and fast approximation of a spatially-dependent distributed-order space-fractional diffusion equation.  Fractional Calculus and Applied Analysis,  24,  1477--1506, 2021. 

24.  Jinhong Jia , Xiangcheng Zheng  and Hong Wang. Numerical discretization and fast approximation of a variably distributed-order fractional wave equation.  ESAIM: Mathematical Modelling and Numerical Analysis,  55,  2211--2232, 2021. 

25.  Huan Liu , Xiangcheng Zheng  and Hongfei Fu. Analysis of a multi-term variable-order time-fractional diffusion equation and its Galerkin finite element approximation.  Journal of Computational Mathematics,  40,  818--838, 2021. 

26.  Xiangcheng Zheng  and Hong Wang. A hidden-memory variable-order fractional optimal control model: analysis and approximation.  SIAM Journal on Conntrol and Optimization,  59,  1851--1880, 2021. 

27.  Xiangcheng Zheng  and Hong Wang. Analysis and numerical approximation to time-fractional diffusion equation with a general time-dependent variable order.  Nonlinear Dynamics,  104,  4203--4219, 2021. 

28.  Huan Liu , Xiangcheng Zheng , Chuanjun Chen  and Hong Wang. A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model.  Advances in Computational Mathematics,  47,  41, 2021. 

29.  Xiangcheng Zheng  and Hong Wang. A time-fractional partial differential equation with a space-time dependent hidden-memory variable order: analysis and approximation.  BIT Numerical Mathematics,  61,  1453--1481, 2021. 

30.  Xiangcheng Zheng  and Hong Wang. Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions.  IMA Journal of Numerical Analysis,  41,  1522--1545, 2021. 

31.  Xiangcheng Zheng , Yiqun Li , Jin Cheng  and Hong Wang. Inverting the variable fractional order in a variable-order space-fractional diffusion equation with variable diffusivity: analysis and simulation.  Journal of Inverse and Ill-posed Problems,  29,  219--231, 2021. 

32.  Xiangcheng Zheng , Vincent Ervin  and Hong Wang. Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval.  Journal of Scientific Computing,  86,  29, 2021. 

33.  Xiangcheng Zheng  and Hong Wang. An error estimate of a numerical approximation to a hidden-memory variable-order space-time fractional diffusion equation.  SIAM Journal on Numerical Analysis,  58,  2492--2514, 2020. 

34.  Zhiwei Yang , Xiangcheng Zheng  and Hong Wang. A variably distributed-order time-fractional diffusion equation: analysis and approximation.  Computer Methods in Applied Mechanics and Engineering,  367,  113118, 2020. 

35.  Xiangcheng Zheng  and Hong Wang. Wellposedness and regularity of a variable-order space-time fractional diffusion equation.  Analysis and Applications,  18,  615--638, 2020. 

36.  Xiangcheng Zheng  and Hong Wang. An optimal-order numerical approximation to variable-order space-fractional diffusion equations on uniform or graded meshes.  SIAM Journal on Numerical Analysis,  58,  330--352, 2020. 

37.  Xiangcheng Zheng , Jin Cheng  and Hong Wang. Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equations.  Inverse Problems,  35,  125002, 2019. 

38.  Hong Wang  and Xiangcheng Zheng. A modified time-fractional diffusion equation and its finite difference method: regularity and error analysis.  Fractional Calculus and Applied Analysis,  22,  1014--1038, 2019. 

39.  Xiangcheng Zheng , Huan Liu , Hong Wang  and Hongfei Fu. An efficient finite volume method for the nonlinear distributed-order space-fractional diffusion equations in three space dimensions.  Journal of Scientific Computing,  80,  1395--1418, 2019. 

40.  Hong Wang  and Xiangcheng Zheng. Analysis and numerical solution of a nonlinear variable-order fractional differential equation.  Advances in Computational Mathematics,  45,  2647--2675, 2019. 

41.  Hong Wang  and Xiangcheng Zheng. Wellposedness and regularity of the variable-order time-fractional diffusion equations.  Journal of Mathematical Analysis and Applications,  475,  1778--1802, 2019. 

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