
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:
- 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.
- 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:
- Tongke Wang, Zhifang Liu and Zhiyue Zhang, The modified composite Gauss type rules for singular integrals possessing with Puiseux espansions, Mathematics of Computation, accepted
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Quanxiang Wang, Zhiyue Zhang and Quanyong Zhu, Numerical simulation of the stochastic damped improved Boussinesq equation, Journal of Mathematical Physics, 2013, 54:013503.
- 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.
- 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.
- 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.
- 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.
- Mu Mu, Zhiyue Zhang, Conditional nonlinear optimal perturbations of a two-dimensional quasigeostrophic model, Journal of the Atmospheric Science, 2006, 63(6):1587—1604.
- 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.
- Quanxiang Wang, Suli Lin, Zhiyue Zhang, Numerical Methods for a Fluid Mixture Model, International Journal for Numerical Methods in Fluids, 2013, 71:1-12
- Zhiyue Zhang, Fuqiang Lu, Quadratic finite Element Method for the Improved Boussinesq Equation, Journal of Mathematical Physics, 2012, 53:013505
- 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.
- Suli Lin, Quanxiang Wang and Zhiyue Zhang, Generalized difference methods for a fluid mixture model, Applied Physics, 2012, 2:35-40.
- 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
- 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.
- Ping Wang, Zhiyue Zhang, Quadratic Finite Volume Element Method for the Air Pollution Model, International Journal of Computer and Mathematics, 2010, 87:2925-2944
- 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
- 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.
- Zhiyue Zhang, Dingwen Deng, A fourth-order finite difference solver for nerve conduction equation in rectangular domains, Journal of Mathematical Physics, 2008, 49(043508)
- 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
- Xiaoke Wu, Zhiyue Zhang, The finite volume element method for a the pollution in groundwater flow, Neural, Parallel & Scientific Computations, 2008,16:563-578.
- Zhiyue Zhang, Dingwen Deng, An Fourth-order Finite Difference Solver for Nerve Conduction Equation, Journal of Mathematical Physics, 2008,49(1).
- Zhiyue Zhang and Dingwen Deng, A New Alternating-Direction Finite Element Method for Hyperbolic Equation, Numerical Method for PDE, 2007, 23(6):1530-1559
- Zhiyue Zhang, The finite element numerical analysis for a class nonlinear evolution equations, Applied Mathematics and Computation, 2005, 166(3):489-500.
- Zhiyue Zhang, An economical difference scheme for heat transport equation at the microscale, Numerical Methods for PDE, 2004, 20(6):855-863.
- 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.
- Zhiyue Zhang, Convergence of Discrete Vector Solution for Nonlinear Parabolic Systems, Acta Mathematica Applitica Scientia 2004, 27(3):546-555.
- Zhiyue Zhang, Hong Wei, A Multistep Characteristic Difference Method for Nerve Conduction Equation, Neural, Parallel & Scientific Computations,2003, 11(3):315-323.
- 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.
- Zhiyue Zhang, The New ADI Method for Three Dimensional Generalized Nerve Conduction Equation, Neural, Parallel & Scientific Computations,2002, 10(3):355-370.
- Zhiyue Zhang, The ASE-I Numerical Parallel Method for A Class Nonlinear Evolution Equation, Journal of Numerical Mechanics, 2002,9(2):216---223.
- 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.
- Zhiyue Zhang, Factional Step Difference Scheme for a Class of Nonlinear Reaction-Diffusion Equation and Systems,Acta Mathematica Scientia, 2001(1):127-132.
- 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.
- Zhiyue Zhang, The Finite Element Error Estimates of Degenerate Parabolic Problem with Absorption Term, Numerical Mathematics Journal of Chinese University, 2001(2):171-180.
- Zhiyue Zhang, The ADI characteristics finite element methods for the three-dimensional generalized neurve conduction equation. J. Partial Differential Equation, 2001(3):216-- 221.
- Zhiyue Zhang, A Note of Bounded of Solution Support for Degenerate Parabolic Equation, J. Shandong Unviersity, 2000(4):12-16.
- Zhiyue Zhang, A new proof of the localization of the solution for fast diffusion equation, Mathematica Applicata,2000(4):10-15.
- Zhiyue Zhang, Property of Solution for Nonlinear Degenerate Parabolic Equation, J.Harbin Institute of Technology,1999(2):97-102.
- 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.
- Zhiyue Zhang and Shun Na, The Localized Condition of A Class of Nonlinear Reaction-Diffusion Equations, J.Inner MongoliaNormalUniversity,1997(3):16-21.
- 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
- 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.
- 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.
- 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.
- 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.
- 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