个人简介
博士后,硕士生导师,理学院科研秘书。 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。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18篇,SCI一区检索论文11篇;主持国家自然科学基金项目1项,省自然科学基金项目1项,博士后面上项目1项,教育厅科研项目1项。
主持课题
1.2018年,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,主持。
2. 2018年,中国博士后科学基金,2018M631403,多项复合型粘弹性弯曲波问题的高精度算法研究,主持。
3. 2016年,国家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,主持。
4. 2015年,湖南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,主持。
研究领域
主要从事分数阶偏微分方程数值求解、图像恢复、高精度精致格式等方面的研究
近期论文
查看导师最新文章
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1.Haixiang Zhang, Xuehua Yang*, Da Xu, A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation, Numer. Algor., (2019), 80:849–877 .
2.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.
3.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.
4.Haixiang Zhang*, Xuehua Yang, Xuli Han, Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation, Computers and Mathematics with Applications, 2014, 68: 1710-1722.
5.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.
6.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.
7.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.
8.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.
9.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.
10.Haixiang Zhang, Xuehua Yang*, Da Xu, Alternating direction implicit OSC scheme forthe two-dimensional fractional evolution equation with a weakly singular kernel, Acta Mathematica Scientia2018, 38(6): 1689-1711.
11.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.
12.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.
13.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.
14.Haixiang Zhang*, Xuli Han, Quasi-wavelet method for time-dependent fractional partial differential equation, International Journal of Computer Mathematics, 2013, 90(11): 2491–2507.
15.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.
16.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.
17.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.
18.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.