髙廣花

髙廣花，女，1985年11月出生，博士，南京郵電大學理學院副教授。

人物經歷,主講課程,研究項目,發表論文,

人物經歷

2002.9-2006.7: 天津師範大學數學科學學院
2006.9-2009.7: 天津師範大學數學科學學院
2009.9-2012.6: 東南大學數學系
2012.6至今：南京郵電大學理學套定歸院工作
2014.3-2014.9: 澳門大學科技學院博士後雅判兆研究

主講課程

線性代數與解析幾何、機率統計與隨機過程等

研究項目

1.數值求解分數階偏微分方堡榜兆凳程的高精度快速算法研究(11401319)，國家自然科學青年基金項目，2015.01-2017.12 (主持，在研臭戒)
2.分數階偏微分方程的高精度有限體積元方法研究(11326225)，國家自然科學數學天元基金專項基金項目, 2014.01-2014.12 (主持,已結題)
3.時間分數剃埋朵階偏微分方程的高精度差分算法設計及理論分析(BK20130860),江蘇省自然科學青年基金項目, 2013.07-2016.06(主持，已結題)
4.求解分數階偏微分方程的高精度算法研究(NY213051)，南京郵電大學校引進人才科研啟動基故循項達金項目，2013.07-2016.06(主持，已結題)
5.可分非凸最佳化的分解算法及其在圖像分割中的套用研究(11501301) ,國家自然科學青年基金, 2016.01-2018.12(參與,在研)
6.網路化異質多智慧型體迎榆估系統的協調動力學分析與控制(61304169) ,國家自然科學青年基金, 2014.01-2016.12(參與,已結題)
7.空間分數階偏微分方程高精度快速算法的研究(11271068)，國家自然科學面上項目，2013.01-2016.12 (參與,已結題)

發表論文

  1. 《分數階微分方程的有限差分方法》，孫志忠，高廣花編，科學出版社，北京，2015年8月。
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. 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)
  7. 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)
  8. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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)
  16. 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)
  17. 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)
  18. 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)
  19. 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)
  20. 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)
  21. 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)
  22. 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)
  23. 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.
  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. 劉蕊，高廣花，袁安安，求解一類多項時間四階時間分數階慢擴散系統的有限差分格式，寧夏大學學報（自然科學版），Vol. 38, No. 2 (2017) pp. 1-10.
  30. 王星，高廣花，王同科，半線性拋物問題的一類三次有限體積元方法，遼寧工程技術大學學報（自然科學版），Vol. 34, No. 2 (2015) pp. 281-284.
  31. 李娟，高廣花，求解Fisher-Kolmogorov方程的三層線性化緊差分格式，西南民族大學學報（自然科學版），Vol. 41, No. 5 (2015) pp. 634-639.
  32. 高廣花，王同科，一類擬線性神經傳播方程的緊LOD差分格式，天津師範大學學報（自然科學版），Vol. 29, No. 1 (2009) pp. 1-6.
  33. 高廣花，王同科，兩點邊值問題基於三次樣條插值的高精度有限體積元方法，山東大學學報（理學版），Vol. 44, No. 2 (2009) pp. 45-51.

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