个人简历

主授课程
线性代数与解析几何、概率统计与随机过程等
个人简历
2002.9-2006.7: 天津师范大学数学科学学院
2006.9-2009.7: 天津师范大学数学科学学院
2009.9-2012.6: 东南大学数学系
2012.6至今：南京邮电大学理学院工作
2014.3-2014.9: 澳门大学科技学院博士后研究
主要成果
自硕士以来，一直从事偏微分方程数值解的研究工作。现主要集中于分数阶偏微分方程数值解的研究，取得了一些研究成果，合作专著一本，发表SCI论文20余篇。
研究项目
1. 数值求解分数阶偏微分方程的高精度快速算法研究(11401319)，国家自然科学青年基金项目，2015.01-2017.12(主持，在研)
2. 分数阶偏微分方程的高精度有限体积元方法研究(11326225)， 国家自然科学数学天元基金专项基金项目, 2014.01-2014.12 (主持, 已结题)
3. 时间分数阶偏微分方程的高精度差分算法设计及理论分析(BK20130860) , 江苏省自然科学青年基金项目, 2013.07-2016.06(主持，在研)
4. 求解分数阶偏微分方程的高精度算法研究(NY213051)，南京邮电大学校引进人才科研启动基金项目，2013.07-2016.06(主持，在研)
5. 网络化异质多智能体系统的协调动力学分析与控制(61304169) , 国家自然科学青年基金, 2014.01-2016.12(参与, 在研)

研究领域

偏微分方程数值解""

近期论文

《分数阶微分方程的有限差分方法》，孙志忠，高广花编，科学出版社，北京，2015年8月。
Guang-hua Gao, Anatoly A. Alikhanov, Zhi-zhong Sun, The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations, Journal of Scientific Computing, 73 (2017), pp. 93-121.(SCI)
Guang-hua Gao, Zhi-zhong Sun, Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations, Numerical Algorithms, 74 (2017), pp. 675-697. (SCI)
Guang-hua Gao, Zhi-zhong Sun, Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations, Journal of Scientific Computing, 69 (2016), pp. 506-531. (SCI)
Guang-hua Gao, Zhi-zhong Sun, Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations, Journal of Scientific Computing,66 (2016), pp. 1281-1312. (SCI)
Guang-hua Gao, Zhi-zhong Sun, Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations, Numerical Methods for Partial Differential Equations, 32 (2016) , pp. 591-615. (SCI)
Guang-hua Gao, Zhi-zhong Sun, Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations, Computers and Mathematics with Applications, 69 (2015)pp. 926-948.(SCI)
Guang-hua Gao, Hai-wei Sun, Zhi-zhong Sun, Some high-order difference schemes for the distributed-order differential equations, Journal of Computational Physics,298 (2015) pp. 337-359. (SCI)
Guang-hua Gao, Hai-wei Sun, Zhi-zhong Sun, Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence, Journal of Computational Physics, 280(2015)pp. 510-528. (SCI)
Guang-hua Gao, Hai-wei Sun, Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions, Journal of Computational Physics, 298 (2015) pp.520-538. (SCI)
Guang-hua Gao, Hai-wei Sun, Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations, Communications in Computational Physics, 17(2015) pp. 487-509. (SCI)
Guang-hua Gao, Zhi-zhong Sun, Hong-wei Zhang, A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications, JournalofComputational Physics, 259 (2014) pp. 33-50.(SCI)
Guang-hua Gao, Zhizhong Sun, The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain, Journal of Computational Physics, 236, 443-460, 2013. (SCI)
Guang-hua Gao, Zhi-zhong Sun, Compact difference schemes for heat equation with Neumann boundary conditions (II), Numerical Methods for Partial Differential Equations, 29 (2013) pp. 1459-1486. (SCI)
Guang-hua Gao, Zhi-zhong Sun, Ya-nan Zhang, A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions, Journal of Computational Physics, 231 (2012),pp. 2865-2879. (SCI)
Guang-hua Gao, Zhi-zhong Sun, Finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space, CentralEuropean Journal ofMathematics, 10 (2012) pp. 101-115. (SCI)
Guang-hua Gao, Zhi-zhong Sun, A compact finite difference scheme for the fractional sub-diffusion equations, Journal of Computational Physics，230 (2011), pp. 586-595. (SCI)
Guang-hua Gao, Tong-ke Wang, Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations, Journal of Computational and Applied Mathematics, 233 (2010), pp. 2285-2301. (SCI)
Hong Sun, Zhi-zhong Sun, Guang-hua Gao, Some temporal second order difference schemes for fractional wave equations, Numerical Methods for Partial Differential Equations, 32 (2016), pp. 970-1001. (SCI)
Hong Sun, Zhi-zhong Sun, Guang-hua Gao, Some high order difference schemes for the space and time fractional Bloch-Torrey equations, Appliced Mathematics and Computation, 281 (2016), pp. 356-380. (SCI)
Tong-ke Wang, Na Li, Guang-hua Gao, The asymptotic expansion and extrapolation of trapezoidal rule for integrals with fractional order singularities, International Journal of Computer Mathematics, 92 (2015) pp. 579-590. (SCI)
Zhi-fang Liu, Tong-ke Wang ,Guang-hua Gao, A local fractional Taylor expansion and its computation for insufficiently smooth functions, East Asian Journal on Applied Mathematics, 5 (2015) pp. 176-191. (SCI)
Zhifang Liu, Tongke Wang, Guang-hua Gao, A local fractional Taylor expansion and its computation for insufficiently smooth functions, East Asian Journal on Applied Mathematics, 5 (2015) pp. 176-191.
Ri Du, Zhi-zhong Sun, Guang-hua Gao, A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model, International Journal of Computer Mathematics, 92 (2015), pp. 2290-2309 (SCI)
Jin-cheng Ren, Guang-hua Gao, Efficient and stable numerical methods for the two-dimensional fractional Cattaneo equation, Numerical Algorithms, 69 (2015), pp. 795-818 (SCI)
Hai-yan Cao, Zhi-zhong Sun, Guang-hua Gao, A three-level linearized finite difference scheme for the Camassa-Holm equation, Numerical Methods for Partial Differential Equations, 30 (2014) pp.451-471. (SCI)
Peng Mao, Jing Chen, Rongqing Xu, Guozhi Xie, Yuanjian Liu, Guang-hua Gao, Shan Wu, Self-assembled silver nanoparticles: correlation between structural and surface Plasmon resonance properties, Applied Physics A, 117 （2014）pp. 1067-1073. (SCI)
Rongqing Xu, Yunqing Lu, Chunhui Jiang, Jing Chen, Peng Mao, Guang-hua Gao, Labao Zhang, Shan Wu, Facile fabrication of three-dimensional Graphene foam/poly(dimethylsiloxane) composites and their potential application as strain sensor, Applied Material & Interfaces, 6 (2014) pp.13455-13460. (SCI)
刘蕊，高广花，袁安安，求解一类多项时间四阶时间分数阶慢扩散系统的有限差分格式，宁夏大学学报（自然科学版），Vol. 38, No. 2 (2017) pp. 1-10.
王星，高广花，王同科，半线性抛物问题的一类三次有限体积元方法，辽宁工程技术大学学报（自然科学版），Vol. 34, No. 2 (2015) pp. 281-284.
李娟，高广花，求解Fisher-Kolmogorov方程的三层线性化紧差分格式，西南民族大学学报（自然科学版），Vol. 41, No. 5 (2015) pp. 634-639.
高广花，王同科，一类拟线性神经传播方程的紧LOD差分格式，天津师范大学学报（自然科学版），Vol. 29, No. 1 (2009) pp. 1-6.
高广花，王同科，两点边值问题基于三次样条插值的高精度有限体积元方法，山东大学学报（理学版），Vol. 44, No. 2 (2009) pp. 45-51.