个人信息

姓　　名: 高广花 性　　別: 女 导师类型: 硕士生导师
技术职称: 副教授 电子邮箱: gaogh@njupt.edu.cn
学术型硕士招生学科: (070100)数学

个人简介:高广花，2004年03月赴澳门大学科技学院博士后研究学习六个月。担任Journal of Scientific Computing、Journal of Computational Physics, Numerical Algorithm等国际一流期刊审稿人。南京邮电大学“1311人才计划”鼎新****，主要从事偏微分方程数值解的研究，取得了系列研究成果。在Journal of Computational Physics，Journal of Scientific Computing等国际一流刊物上发表学术论文33篇，其中SCI收录27篇。截止2020年3月6日，单篇SCI论文在Web of Science数据库中被引频次达217，两篇论文入选高被引论文。在科学出版社合作出版专著一部，并纳入信息与计算科学丛书。现主持在研江苏省自然科学面上基金项目1项，作为项目负责人已完成国家自然科学基金项目2项和江苏省自然科学青年项目1项。
近5年指导硕士研究生4名。主要从事《偏微分方程数值解法》、《概率论与数理统计》以及《线性代数与解析几何》等课程的教学工作。
研究领域:研究方向：偏微分方程数值解
期刊论文：　　
[1] 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)[2] 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)[3] 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)[4] 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)[5] 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)[6] 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)[7] 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)[8] 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)[9] 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)[10] 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)[11] 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)[12] 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)[13] 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)[14] 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)[15] 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)[16] 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)[17] 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)[18] 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)[19] 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)[20] 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)[21] 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)[22] 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)[23] 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)[24] 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)[25] 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)[26] 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)[27] 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)[28] 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)[29] 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.[30] 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.[31] 李娟，高广花，求解二维扩展Fisher-Kolmogorov方程的线性化紧差分格式，江南大学学报（自然科学版），Vol. 14, No. 6 (2015) pp. 862-865.[32] 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.[33] 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.[34] 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.