高广花
发布时间: 2013-05-10   浏览次数: 5326

 

 
姓  名
高广花
性  别
出生年月
1985年11月
学历学位
研究生学历,理学博士学位
职  称
副教授
部  门
澳门十大赌钱注册网址工程数学教学中心
导师类别
硕导
指导专业
计算数学
办公地点
 仙林教2-500(1)
办公电话
85866605
电邮地址
个人主页
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主授课程
偏微分方程数值解法、线性代数与解析几何、概率统计与随机过程等
社会兼职
 
研究方向
偏微分方程数值解
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:澳门网上赌搏十大网站工作
2014.3-2014.9: 澳门大学科技学院博士后研究                
主要
成果
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。主持完成国家级项目2项和省部级项目1项,主持在研省部级项目1项,参与完成项目若干项。合作出版专著三部,发表SCI论文近30篇。
研究
项目

1. 求解四阶时间多项分数阶扩散波方程的差分算法研究(BK20191375),江苏省自然科学基金面上项目,2019.07-2022.06 (主持,在研)

2. 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,已结题)

3. 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,已结题)

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,已结题)

5. 异质多智能体系统的异步采样协调动力学分析( BK20181387),江苏省自然科学基金面上项目,2018.07-2021.06 (参与,在研)

6. 可分非凸优化的分解算法及其在图像分割中的应用研究(11501301) , 国家自然科学青年基金, 2016.01-2018.12 (参与, 已结题)

7. 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, 已结题)

8. 空间分数阶偏微分方程高精度快速算法的研究(11271068),国家自然科学面上项目,2013.01-2016.12 (参与, 已结题)

荣誉
奖励

2019年度荣获南京邮电大学科学技术奖一等奖;

2018年度荣获南京市第12届自然科学优秀学术论文优秀奖;

2016年度入选南京邮电大学1311人才计划“鼎新学者”;

2015年度荣获南京市第11届自然科学优秀学术论文三等奖。

论著
代表作

[1]  《分数阶微分方程的有限差分方法(第二版)》,孙志忠,高广花编,科学出版社,北京,20211月。(信息与计算科学丛书第87本)

[2]  Fractional Differential Equations-Finite Difference Methods. Zhi-zhong Sun, Guang-hua Gao. DE GRUYTER/Science Press Beijing, 2020.08.

[3]  《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,北京,20158月。(信息与计算科学丛书第70本)

[4]  Guang-hua Gao, Rui Tang, Qian Yang, A compact finite difference scheme for the fourth-order time multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions, International Journal of Numerical Analysis and Modeling, 18 (2021), pp. 100-119. (SCI)

[5] Guang-hua Gao, Qian Yang, Fast evaluation of linear combinations of Caputo fractional derivatives and its applications to multi-term time-fractional sub-diffusion equations, Numerical Mathematics: Theory, Methods and Applications, 13 (2020), pp. 433-451.(SCI)

[6]  Guang-hua Gao, Rui Liu,A compact difference scheme for fourth-order multi-term fractional wave equations and maximum error estimates, East Asian Journal on Applied Mathematics, 9 (2019), pp. 703-722. (SCI)

[7]  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)

[8]  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)

[9]  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)

[10]   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)

[11]   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)

[12]   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)

[13]   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)

[14]   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)

[15]   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)

[16]  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) 

[17]  Guang-hua Gao, Zhi-zhong Sun, Hong-wei Zhang, A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications, Journal  of  Computational Physics, 259 (2014) pp. 33-50.  (SCI)

[18]  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)

[19]   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)

[20]   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)

[21]   Guang-hua Gao, Zhi-zhong Sun, Finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space, Central  European Journal of  Mathematics, 10 (2012) pp. 101-115. (SCI)

[22]   Guang-hua Gao, Zhi-zhong Sun, A compact finite difference scheme for the fractional sub-diffusion equations, Journal of Computational Physics230 (2011), pp. 586-595. (SCI)

[23] 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)

[24]   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)

[25]   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)

[26]   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)

[27]   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)

[28]   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.

[29]   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)

[30]   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)

[31]   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)

[32]   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 2014pp. 1067-1073. (SCI)

[33]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)

[34]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.

[35]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.

[36]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.

[37]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.

[38]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.


联系地址
江苏省 南京市亚东新城区文苑路9号, 南京邮电大学 澳门十大赌钱注册网址
邮政编码
210023