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Faculty

Zhiyue Zhang Professor

Research Interests: 
  • Optimal Control Problems with PDE Constraints
  • Computational Geophysical Fluid Dynamics
  • Numerical Weather Forecast and Numerical Analysis for Solutions to PDEs
Bio: 

Educational Background

  • PhD, Computational Mathematics, Shandong University (2001)
  • MA, Mathematics, Northeast Normal University (1991)
  • BA, Mathematics, Northeast Normal University (1988)

 

Research

Research Projects:

  1. New Finite Volume Element Method and Its Application toGeophysics with Stochastic Modeling(11471166), PI: Zhiyue Zhang, National Natural Science Foundation of China, From 2015-1 to 2018-12.
  2. High Order Superconvergence of Finite Volume Element Method and Its Post-processing Algorithms for Two-phase Fluid Problems(BK20141443), PI: Zhiyue Zhang, Natural Science Foundation of Jiangsu Province, From 2014-07 to 2017-06.

 

Journal Articles:

 

  1. Tongke Wang, Zhifang Liu and Zhiyue Zhang, The modified composite Gauss type rules for singular integrals possessing with Puiseux espansions, Mathematics of Computation, accepted
  2. Jinliang Yan, Zhiyue Zhang, New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the “good” Boussinesq equation, Computer Physics Communications, 2016, 201:33-42.
  3. Jinliang Yan, Qian Zhang, Ling Zhu and Zhiyue Zhang, Two-grid methods for finite volume element approximations of nonlinear Sobolev equations, Numerical Functional Analysis and Optimization, 2016, 37(3):391-414.
  4. Qian Zhang, Jinliang Yan and Zhiyue Zhang, High-order upwind finite volume element method for first-order hyperbolic optimal control problems, ZNZIAMJ, 2016, 57:482-498.
  5. Ling Zhu, Zhiyue Zhang and Zhilin Li, The immersed finite volume element method for some interface problems with nonhomogeneous jump conditions, International Journal of Numerical Analysis and Modeling, 2016, 13(3):368-382.
  6. Qian Zhang, Zhilin Li and Zhiyue Zhang, A sparse grid stochastic collocation method for elliptic interface problems with random input, Journal of Scientific computing, 2016, 67:262-280.
  7. Qian Zhang, Kazufumi Ito, Zhilin Li and Zhiyue Zhang, Immersed finite elements for optimal control problems of elliptic PDEs with interfaces, Journal of Computational Physics, 2015, 298:305-319.
  8. Ling Zhu, Zhilin Li and Zhiyue Zhang, An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions, Computers and Mathematics with Applications, 2015, 70:89-103.
  9. Tongke Wang, Zhiyue Zhang, A compact finite volume method and its extrapolation for elliptic equations with third boundary conditions, Applied Mathematics and Computation, 2015, 164:258-271.
  10. Qian Zhang, Quanyong Zhu and Zhiyue Zhang, Finite volume element method for the stochastic advective-dispersive equation in porous media, Neural, Parallel and Scientific Computations, 2015, 23:137-152.
  11. Quanxiang Wang, Zhiyue Zhang, Quanyong Zhu, Nonlinear and linear evolution of perturbation in stochastic basic flows, International Journal of Non-linear Mechanics, 2015, 77:291-298.
  12. Quanxiang Wang, Zhiyue Zhang, Xinhua Zhang and Quanyong Zhu, Energy-preserving finite volume element method for the improved Boussinesq equation, Journal of Computational Physics, 2014, 270: 58-69.
  13. Quanxiang Wang, Zhiyue Zhang, Upwind finite volume element method for modeling of neuronal firing, International Journal of Computer and Mathematics, 2014, 91(3):625-640.
  14. Qian Zhang,  Zhiyue Zhang, Monte Carlo finite volume element methods for the convection-diffusin equation with a random diffusion coefficient, Mathematical Problems in Engineering, 2014: 642470.
  15. Quanxiang Wang, Zhiyue Zhang and Quanyong Zhu, Numerical simulation of the stochastic damped improved Boussinesq equation, Journal of Mathematical Physics, 2013, 54:013503.
  16. Quanxiang Wang, Zhiyue Zhang and Zhilin Li, Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on the sphere, Applied Numerical Mathematics, 2013, 71:1-13. 
  17. Quanyong Zhu, Quanxiang Wang and Zhiyue Zhang, The fractional steps domain decomposition method for numerical solution of a class of viscous wave equations, Computational Mathematics and Mathematical Physics, 2013, 53(7):1013-1025.
  18. Quanxiang Wang, Pingwei Liu and Zhiyue Zhang, A characteristic finite volume element method for the air pollution model, Numerical Functional Analysis and Optimization, 2013,34(6):664-694.
  19. Quanxiang Wang, Suli Lin and Zhiyue Zhang, Numerical methods for a fluid mixture model, International Journal of Numerical Methods in Fluids, 2013, 71:1-12.
  20. Mu Mu, Zhiyue Zhang, Conditional nonlinear optimal perturbations of a two-dimensional quasigeostrophic model, Journal of the Atmospheric Science, 2006, 63(6):1587—1604.
  21. Zhiyue Zhang and Quanxiang Wang, Optimal control of air quality based on derivative-free optimization method, International Journal of Mathematical Modeling and Numerical Optimisation, 2013, 4(3):195-209. 
  22. Quanxiang Wang, Suli Lin, Zhiyue Zhang, Numerical Methods for a Fluid Mixture Model, International Journal for Numerical Methods in Fluids, 2013, 71:1-12
  23. Zhiyue Zhang, Fuqiang Lu, Quadratic finite Element Method for the Improved Boussinesq Equation, Journal of Mathematical Physics, 2012, 53:013505
  24. Quanyong Zhu, Quanxiang Wang, Ju Fu and Zhiyue Zhang, New second-order finite difference scheme for the problem of contaminant in groundwater flow, Journal of Applied Mathematics, 2012 (57):575493.
  25. Suli Lin, Quanxiang Wang and Zhiyue Zhang, Generalized difference methods for a fluid mixture model, Applied Physics, 2012, 2:35-40. 
  26. Zhiyue Zhang, The Multistep Finite Difference Fractional Steps Method for a Class of Vsicous Wave Equations, Mathematical Method in the Applied Sciences, 2011, 34:442-454
  27. Yuping Wang, Zhiyue Zhang, Numerical Methods Based on Characteristic Block-Centered Finite Difference Method for 1D Air Pollution Model, Journal of Numerical Mechanics, 2011, 28:693-698.
  28. Ping Wang, Zhiyue Zhang, Quadratic Finite Volume Element Method for the Air Pollution Model, International Journal of Computer and Mathematics, 2010, 87:2925-2944
  29. Zhiyue Zhang, Jing Lin, Dynamics of Jovian Atmospheres with Applications of Nonlinear Singular Vector Method, International Journal for Numerical Methods in Fluids, 2007,55(8):713—721 
  30. Zhiyue Zhang, Error Estimate of Finite Volume Element Method for the pollution in Groundwater Flow, Numerical Method for Partial Differential Equations, 2009,25：259-274. 
  31. Zhiyue Zhang, Dingwen Deng, A fourth-order finite difference solver for nerve conduction equation in rectangular domains, Journal of Mathematical Physics, 2008, 49(043508) 
  32. Zhiyue Zhang, Zhoufeng Wang, The Fully Discrete Multistep Characteristic Finite Volume Element Methods for the Two-dimensional Generalized Nerve Conduction Equation, Neural, Parallel & Scientific Computations, 2008, 16:481—496 
  33. Xiaoke Wu, Zhiyue Zhang, The finite volume element method for a the pollution in groundwater flow, Neural, Parallel & Scientific Computations, 2008,16:563-578. 
  34. Zhiyue Zhang, Dingwen Deng, An Fourth-order Finite Difference Solver for Nerve Conduction Equation, Journal of Mathematical Physics, 2008,49（1）. 
  35. Zhiyue Zhang and Dingwen Deng, A New Alternating-Direction Finite Element Method for Hyperbolic Equation, Numerical Method for PDE, 2007, 23(6):1530-1559 
  36. Zhiyue Zhang, The finite element numerical analysis for a class nonlinear evolution equations, Applied Mathematics and Computation, 2005, 166(3):489-500. 
  37. Zhiyue Zhang, An economical difference scheme for heat transport equation at the microscale, Numerical Methods for PDE, 2004, 20(6):855-863. 
  38. Zhiyue Zhang, Tongke Wang, The Alternating Group Explicit Parallel Algorithms for Convection Dominated Diffusion Problem of Variable Coefficient, International Journal of Computer Mathematics, 2004, 81(7):823-834. 
  39. Zhiyue Zhang, Convergence of Discrete Vector Solution for Nonlinear Parabolic Systems, Acta Mathematica Applitica Scientia 2004, 27(3)：546-555. 
  40. Zhiyue Zhang, Hong Wei, A Multistep Characteristic Difference Method for Nerve Conduction Equation, Neural, Parallel & Scientific Computations，2003, 11(3):315-323. 
  41. Zhiyue Zhang, The Alternating-direction Schemes and Numerical Analysis for the Three-dimensional Seawater Intrusion Simulation, Acta Mathematica Applicate Sinica，2002, 18(3):389-404. 
  42. Zhiyue Zhang, The New ADI Method for Three Dimensional Generalized Nerve Conduction Equation, Neural, Parallel & Scientific Computations，2002, 10(3):355-370. 
  43. Zhiyue Zhang, The ASE-I Numerical Parallel Method for A Class Nonlinear Evolution Equation, Journal of Numerical Mechanics, 2002,9(2):216---223. 
  44. Zhiyue Zhang, The alternating direction characteristic finite element method for the three-dimensional semiconductor problem with heat-conduction, System Science and System Mathematics, 2002,22(4):395-405. 
  45. Zhiyue Zhang, Factional Step Difference Scheme for a Class of Nonlinear Reaction-Diffusion Equation and Systems，Acta Mathematica Scientia, 2001(1):127-132. 
  46. Zhiyue Zhang and Ning Du, Characteristic difference and characteristic finite element method for a class generalized nerve conduction equation, Mathematica Applicata，2001(2):121- 125. 
  47. Zhiyue Zhang, The Finite Element Error Estimates of Degenerate Parabolic Problem with Absorption Term, Numerical Mathematics Journal of Chinese University, 2001(2):171-180. 
  48. Zhiyue Zhang, The ADI characteristics finite element methods for the three-dimensional generalized neurve conduction equation. J. Partial Differential Equation, 2001(3):216-- 221. 
  49. Zhiyue Zhang, A Note of Bounded of Solution Support for Degenerate Parabolic Equation, J. Shandong Unviersity, 2000(4):12-16.
  50. Zhiyue Zhang, A new proof of the localization of the solution for fast diffusion equation, Mathematica Applicata，2000(4):10-15. 
  51. Zhiyue Zhang, Property of Solution for Nonlinear Degenerate Parabolic Equation, J.Harbin Institute of Technology，1999(2):97-102. 
  52. Zhiyue Zhang, The Localized Condition of A Class of Quasilinear Degenerate Parabolic Equations with General Absorption Term, J. Inner Mongolia Normal University, 1998(2):99-105. 
  53. Zhiyue Zhang and Shun Na, The Localized Condition of A Class of Nonlinear Reaction-Diffusion Equations, J.Inner MongoliaNormalUniversity,1997(3):16-21. 
  54. Zhiyue Zhang and Renzhao Chen, On Penalty Shifting Method for Distributed Parameter Systems on Doubly Connected Region, Proceeding of Systems & Systems Engineering, (H.K.)1991:179-184 
  55. Renzhao Chen and Zhiyue Zhang, Mathematical Model and Generalized Solution of Sunray Radiation for Temperature Effeteness of Concrete Dam, J. Northeast Normal University, 1991(2):1--7.
  56. Shuangbing Guo and Zhiyue Zhang, Numerical Methods Based on Characteristic Centered Finite Difference Procedure for a Class of Nonlinear Evolution Equations, Chinese Journal of Computational Physics, 2007, 24(6):637—646. 
  57. Zhoufeng Wang and Zhiyue Zhang, The characteristic finite volume element methods for the two-dimensional generalized nerve conduction equation, Neural, Parallel & Scientific Computations，2007,15:27—44. 
  58. Liang Zhu and Zhiyue Zhang, The finite element methods and analysis of a class nonlinear evolution equations, Journal of Numerical Mechanics, 2008, 25(3):304-309.
  59. Ping Wang and Zhiyue Zhang, The application of finite volume element numerical method for atmospheric pollution model, Chinese Journal of Computational Phyasics, 2009, 26:656-664.

 

Honors and Awards

  • Excellent Doctoral Degree Dissertation of Shandong University(2001)
  • “Qinglan Gongcheng” Excellent Key Teachers of Nanjing Normal University(2004)
  • Science and Technology Progress Award of Jiangsu Province(2006)
  • Science and Technology Progress Award of Jiangsu Province(2015)

 

Contact

TEl：+86-25- 85891380-8620

Email：zhangzhiyue@njnu.edu.cn