郑祥成
Professor
Visit:
Personal Information:
  • Name (Pinyin):
    Zheng Xiangcheng
  • E-Mail:
    xzheng@sdu.edu.cn
  • Date of Employment:
    2022-12-07
  • School/Department:
    数学学院
  • Education Level:
    With Certificate of Graduation for Doctorate Study
  • Gender:
    Male
  • Degree:
    Doctoral Degree in Science
  • Alma Mater:
    University of South Carolina
Discipline:
Computational Mathematics;
Biography

       郑祥成,山东大学研究员。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。

      主要从事计算与应用数学研究,包括非线性问题多解算法和解景观方法、非局部偏微分方程和积分方程的理论与数值分析、快速算法和最优控制等,近年在ScienceSIAM系列Sci. China Math.CMAMEJCPIMAJNAIP等权威期刊发表SCI论文80余篇,担任SISC40SCI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,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。


Education
  • 2012-9 — 2016-6
    中国石油大学(华东)
    石油工程
    Bachelor's Degree in Engineering
  • 2016-8 — 2020-12
    University of South Carolina
    数学
    Doctoral Degree in Science
Publication
Research direction

No contents

Papers

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

2. 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.2023,21 :1690--1716

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

4. 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.2023,26 :2337--2360

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

6. 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.2023,96 :54

7. 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.2023,66 :2347--2360

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

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

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

11. 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.2022,55 :652--670

12. 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.2022,468 :111513

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

14. 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.2022,91 :54

15. 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.2022,91 :56

16. 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.2022,104 :106047

17. 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.2021,90 :15

18. 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.2021,24 :1477--1506

19. 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.2021,55 :2211--2232

20. 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.2021,40 :818--838

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

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

23. 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.2021,47 :41

24. 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.2021,61 :1453--1481

25. 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.2021,41 :1522--1545

26. 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.2021,29 :219--231

27. 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.2021,86 :29

28. 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.2020,58 (5):2492--2514

29. 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.2020,367 :113118

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

31. 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.2020,58 :330--352

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

33. 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.2019,22 :1014--1038

34. 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.2019,80 :1395--1418

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

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

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