张海湘(1985 - )，湖南宁乡人，副教授，博士，博士后，硕士生导师，综合办主任。 2010年毕业于湖南师范大学计算数学专业，获硕士学位。2014年毕业于中南大学应用数学专业，获博士学位。2017年至2019年在北京应用物理与计算数学研究所从事博士后工作。主要从事偏微分方程数值解、深度学习等方面的研究，在国内外学术期刊上以第一作者或通讯作者公开发表论文30余篇，主持国家自然科学基金项目2项，省自然科学基金项目2项，博士后面上项目1项，教育厅科研项目2项。

（一）科研论文

1. Haixiang Zhang, Xuehua Yang*, Qiong Tang, Da Xu, A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation, Computers & Mathematics with Applications, 2022, 109: 180-190.(中科院2区TOP)

2. Haixiang Zhang, Xuehua Yang* , Da Xu, Unconditional convergence of linearized OSC algorithm for semilinear subdiffusion equation with non-smooth solution, Numerical Methods for Partial Differential Equations, 2021,37(2): 1361-1373.(中科院3区)

3. Haixiang Zhang, Xuehua Yang*, Qiong Tang (2020), Discrete-time orthogonal spline collocation method for a modified anomalous diffusion equation, International Journal of Computer Mathematics,2021, 98(2):288-304.

4. Haixiang Zhang, Xuehua Yang* , Da Xu, An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation, Journal of Scientific Computing, 2020, 85(1): Article 7.(中科院2区)

5. Haixiang Zhang, Xuehua Yang* , Yanling Liu, Yuan Liu, An extrapolated CN-WSGD OSC method for a nonlinear time fractional reaction-diffusion equation, Applied Numerical Mathematics, 2020,157, 619–633. (中科院3区)

6. Haixiang Zhang, Xuehua Yang*, Da Xu, A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation, Numer Algorithms, (2019), 80:849–877 .(中科院2区)

7. Haixiang Zhang, Xuehua Yang*, The BDF Orthogonal Spline Collocation Method for the Two Dimensional Evolution Equation with Memory, International Journal of Computer Mathematics, 2018, 95(10): 2011-2025.

8. Haixiang Zhang, Xuehua Yang*, Da Xu, Alternating direction implicit OSC scheme forthe two-dimensional fractional evolution equation with a weakly singular kernel,  Acta Mathematica Scientia, 2018, 38(6): 1689-1711. (中科院2区)

9. Haixiang Zhang*, Xuehua Yang, Xuli Han, Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation, Computers & Mathematics with Applications, 2014, 68: 1710-1722.

10. Haixiang Zhang*, Xuli Han, Quasi-wavelet method for time-dependent fractional partial differential equation, International Journal of Computer Mathematics, 2013, 90(11): 2491–2507.

11. Haixiang Zhang*, Xuli Han, Xuehua Yang, Quintic B-spline Collocation Method for Fourth Order Partial Integro-Differential Equations with a Weakly Singular Kernel, Applied Mathematics and Computation, 2013,219: 6565-6575.

12. 张海湘，杨雪花，汤 琼 . 多项复合型黏弹性波问题的离散奇异卷积方法 [J]. 湖南工业大学学报，2019，33(3)：1-5.

13. Xuehua Yang, Haixiang Zhang*, Qi Zhang, Guangwei Yuan, Simple Positivity Preserving Nonlinear Finite Volume Scheme for Subdiffusion Equations on General Non-conforming Distorted Meshes, Nonlinear Dynamics, 102, 2022, 102: 1–22.(中科院2区)

14. Xuehua Yang, Haixiang Zhang*, Jie Tang. The OSC solver for the fourth-order sub- diffusion equation with weakly singular solutions, Computers & Mathematics with Applications, 2021,82(15):1-12.

15. Xuehua Yang, Haixiang Zhang*, The uniform l^1 long-time behavior of time discretization for time-fractional partial differential equations with nonsmooth data, Applied Mathematics Letters, 2021,124, 107644.

16. Xingguo Liu, Xuehua Yang, Haixiang Zhang*, Yanling Liu, Discrete singular convolution for fourth-order multi-term time fractional equation,Tbilisi Math. J. , 2021, 14(2): 1-16, DOI: 10.32513/tmj/19322008118.(ESCI)

17. Xuehua Yang，Haixiang Zhang*, Qi Zhang, Guangwei Yuan, Zhiqiang Sheng, The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker–Planck equations on distorted meshes, Applied Mathematics Letters, 2019,97: 99-106. (中科院2区)

18. Xuehua Yang, Haixiang Zhang*, Qiong Tang, A spline collocation method for a fractional mobile -immobile equation with variable coefficients, Computational and Applied Mathematics, 2019, 39:34, DOI: 10.1007/s40314-019-1013-3.

19. Xuehua Yang, Haixiang Zhang*, Da Xu, WSGD-OSC Scheme for Two Dimensional Distributed Order Fractional Reaction-Diffusion  Equation, Journal of Scientific Computing, 2018, 76(3): 1502-1520.  

20. Xuehua Yang, Haixiang Zhang*, Da Xu, Orthogonal spline collocation scheme for multiterm fractional convection‐diffusion equation with variable coefficients, Numerical Methods Partial Differential Equations, 2018, 34(2) : 555-574.

21. Xuehua Yang, Haixiang Zhang*, Da Xu, Orthogonal spline collocation method for the fourth-order diffusion system, Computers & Mathematics with Applications, 2018, 75(9): 3172-3185.

22. Graeme Fairweather, Haixiang Zhang*, Xuehua Yang, Da Xu, A backward Euler orthogonal spline collocation method for the time-fractional Fokker–Planck equation, Numerical Methods for Partial Differential Equations, 2015, 31(5):1534–1550.

23. Xuehua Yang, Haixiang Zhang*, Da Xu, Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Sub-Diffusion Equation, Journal of Computational Physics, 2014, 256: 824–837. (中科院1区TOP)

24. Xuli Han, Haixiang Zhang*, Xuehua Yang, Jun Shuai, A general 8th-order PDE Method to Generate Surfaces Based on the Boundary Curves, Journal of Computational Information Systems, 2014, 10(14):6143-6150. (EI)

25. Xuehua Yang, Da Xu, Haixiang Zhang*, Crank-Nicolson/ Quasi- Wavelets Method for Solving Fourth Order Partial Integro-Differential Equation with a Weakly Singular Kernel, Journal of Computational Physics, 2013, 234: 317-329.

26. Yuan Liu, Haixiang Zhang, Xuehua Yang*, Yanling Liu. The BDF2 FDM for the fourth- order equations with the multi-term R-L fractional integral kernels. Numerical Methods for Partial Differential Equations, 2021, 37(6):3042-3061.

27. Yanling Liu, Xuehua Yang, Haixiang Zhang*, Yuan Liu. Analysis of BDF2 finite difference method for fourth-order integro-differential equation,  Computational and Applied Mathematics. 40, 57 (2021).

28. Biao Yang, Haixiang Zhang, Xuehua Yang*,Liang Tang, ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel, Journal of Applied Mathematics and Computing, 2021,10.1007/s12190-021-01609-7.

29. Biao Yang, Haixiang Zhang, Xiaoxuan Jiang, Xuehua Yang*, An implicit difference scheme for the fourth-order nonlinear partial integro-differential equations，Applicable Analysis，2022, DOI: 10.1080/00036811.2022.2027377.

30. Xuehua Yang, Wenlin Qiu, Haixiang Zhang, Liang Tang, An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation, Computers & Mathematics with Applications, 2021, 102：233-247.

31. Xuehua Yang, Wenlin Qiu, Haifan Chen, Haixiang Zhang, Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space, Applied Numerical Mathematics, 2022, 172: 497-513

32. Graeme Fairweather, Xuehua Yang, Da Xu, Haixiang Zhang, An ADI Crank-Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation, Journal of Scientific Computing, 2015 , 65(3):1217-1239.

33. Xuehua Yang, Da Xu, Haixiang Zhang, Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel, International Journal of Computer Mathematics, 2011, 88(15): 3236-3254.

34. Xuehua Yang, Da Xu, Haixiang Zhang, Wulan Li, Quasi-wavelet for Fourth Order Parabolic Partial Integro-differential Equation, Journal of Information & Computational Science, 2010, 7(11): 2258–2263. (EI)

（二）主持科研项目

1. 国家自然科学基金 数学天元基金项目, 12126321, 扭曲网格上辐射扩散方程的加速算法研究。

2. 湖南省教育厅优秀青年项目, 21B0550, 粘弹性板问题的高阶谱体积方法研究。

3. 湖南省自然科学基金联合项目，无人天车防摇摆控制系统的数学建模方法研究。

4. 湖南省自然科学基金青年项目，2018JJ3108，具有双记忆核粘弹性反馈模型的并行正交样条配置法研究。

5. 博士后科学基金，2018M631403，多项复合型粘弹性弯曲波问题的高精度算法研究。

6. 自然科学基金青年项目，11601144，时间/时空分数阶Cable方程的并行正交样条配置法研究。

7. 省教育厅高校科研项目，15C0390，分数阶反常扩散问题的高精度数值算法。

（三）学术奖励

1. 张海湘（1/1），Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation，湖南省计算数学应用软件协会，优秀青年论文奖，一等奖，2015.

2. 张海湘（4/5），哈密尔顿系统有限元法研究，湖南省教育厅，湖南省自然科学奖，三等奖，2019（汤琼；金继承；陈传淼；张海湘；余波）.

3. 张海湘（1/1）；An extrapolated CN-WSGD OSC method for a nonlinear time fractional reaction-diffusion equation, 湖南省计算数学应用软件协会，优秀青年论文奖，二等奖，2020.

（四）教研教改论文

1. 基于Python扩展库提高《高等代数》教学质量与教学改革研究、教育科学、2021,10:327-328；

2. 利用初等变换求逆矩阵思想的应用，湖南科技学院学报，2019，40（10），1994-2000

3. 立体几何问题中的串联式教学、教育、2021,3:187-188;

4. 解析几何中向量积的灵活应用与教学、教育、2021,2:161-163;

5. 解析几何与线性代数的优化教学研究、教育科学、2021,9:231-232；

6. 高中新课标对学科教学(数学)教育硕士培养影响研究、长春教育学院学报、2022.1；

7. 《高等代数选讲》，中南大学出版社，2021.10；

（五）主持教研教改项目

1. 基于Python扩展库提高《高等代数》课堂教学有效性的教学策略研究，湖南省普通高等学校教学改革项目，2020.9；

2. 大数据和Python人工智能实践课程建设，教育部协同育人项目，2021.3;

3. 基于Python的《高等代数》课程混合式教学模式的研究与实践，教育部协同育人项目，2021.8;