熊之光

  • 性 别:
  • 职称:教授
  • 学 历:博士研究生
  • 学院:数学与计算科学学院
  • 系部所:信息与计算科学系
  • 执教层次:硕士生导师
  • 电话:
  • 电子邮箱:zgxiong@hnust.edu.cn

基本情况

熊之光,男,土家族,1964年11月出生,湖南省凤凰县人,理学博士,教授,湖南科技大学数学与计算科学学院教师。研究方向为微分方程数值解法。

工作经历

1、1985年7月~1988年8月,在湖南吉首市丹青中学教书
2、1988年8月~1995年8月,在湘西自治州农机化学校教书
3、1998年9月~1999年8月,湘潭工学院数理系任助教
4、1999年9月~2004年8月,湘潭工学院数理系、湖南科技大学数学与计算科学学院任讲师
5、2004年9月~2008年8月,湖南科技大学数学与计算科学学院任副教授
6、2008年9月~迄今,湖南科技大学数学与计算科学学院任教授

主持课题

1、主持国家自然科学基金科研项目“拟线性抛物方程高效有限元算法及其超收敛性”,2016年立项,目前正在进行理论分析和论证阶段,项目经费50万元,项目编号:11571102。
2、主持湖南省教育厅青年基金项目“抛物微分方程时空有限元参数识别及其收敛性研究”,2012年立项,2015年结题,项目经费6万元,项目编号:12A050。
3、主持湖南科技厅科技计划项目“《基于时空有限元的数值气象预报及其大气污染控制的高效算法研究”,2014年立项,2015年结题,项目经费5万元,项目编号:2014FJ3045。
4、主持湖南省教育厅科研项目“非线性问题插值系数时空有限元法研究”,2009年立项,2011年结题,项目经费2万元,项目编号:09JJ3011。

代表性论文

       1. 熊之光,邓康,王奇生,An Improved Finite Element Method for Solving a Kind of Nonlinear Volterra-Fredholm Integral Equation, Advances in Intelligent Systems Research, 153(2018), 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017): 1-4.
       2. 熊之光,邓康,郭文婧,池岸枫,具有周期边界条件的双曲微分方程间断有限元逐点和区间平均值误差估计,系统科学与数学,37(10)(2017,10),2121-2128.
       3. 熊之光,邓康,A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation, Advances in Applied Mathematics and Mechanics (Adv. Appl. Math. Mech.), 9 (1) (2017): 186-204
       4. 熊之光:插值系数有限元法超收敛分析[M],东南大学出版社,南京,2015年.
       5. Zhiguang Xiong, Kang Deng, Zhusong Liu, Yanpin liu, Xiaocui Yan: The finite volume element method for a parameter identification problem [J], Journal of Ambient Intelligence and Humanized Computing, (2015) 6:533–539 (SCIE,EI源刊).
       6. Zhiguang Xiong, Yanping Chen: A triangular finite volume element method for a semilinear elliptic equation[J], Journal of Computational Mathematics, 32(2)( 2014), 152–168. (SCI源刊)
       7. Zhiguang Xiong, Kang Deng, Yanpin liu, Xiaocui Yan: The finite volume element method for a class of parameter identification problem with overspecified-data,2013 Fourth International Conference on Emerging Intelligent Data and Web Technologies, 100-103.
       8. Zhiguang Xiong, Yanpin liu, Xiaocui Yan: A full-discrete finite element algorithm for a semilinear periodic parabolic problems, 2013 Eighth International Conference on P2P, Parallel, Grid, Cloud and Internet Computing, 311-315.
       9. Kang Deng, Zhiguang Xiong, Xiaocui Yan, Yanpin liu: Superconvergence of discontinuous finite element method for delay-differential equations, 2013 Fourth International Conference on Emerging Intelligent Data and Web Technologies, 145-148.
       10. Jiming Yang, Zhiguang Xiong: A posteriori error estimates of a combined mixed finite element and discontinuous Galerkin method for a kind of compressible miscible displacement problems[J], Advances in Applied Mathematics and Mechanics, 5(2)(2013),163-179. (SCI源刊)
       11. Jiming Yang, Yanping Chen, Zhiguang Xiong: Superconvergence of a full-discrete combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem[J], Numer. Meth.PDEs, 29(6)(2013), 1801–2160. (SCI源刊)
       12. Zhiguang Xiong,Guorong Chen,Xueling Wang:Superconvergence of the space-time continuous finite elements with interpolated coefficients for semilinear parabolic problems[J],Advanced Materials Research, 314-316 (2011), 1670-1675.
       13. 熊之光,加古宯,小山大介:Webster方程有限元法的超收敛性[J],高等学校计算数学学报,32(2)(2010), 106-117.
       14. Zhiguang Xiong:Superconvergence of the continuous Galerkin finite element for delay-differential equation with several terms [J],Journal of Computational and Applied Mathematics,198 (2007),160-166.(SCI源刊)
       15. Zhiguang Xiong,Yanping Chen,Yan Zhang:Convergence of FEM with interpolated coefficients for semilinear hyperbolic equation [J],J.Comput.Appl.Math.214 (1) (2008),313-317.(SCI源刊) 
       16. Zhiguang Xiong,Yanping Chen:Finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations [J],Computer Methods in Applied Mechanics and Engineering,196 (2007),3798-3804.(SCI源刊)
       17. Zhiguang Xiong,Yanping Chen:A Rectangular Finite Volume Element Method for a Semilinear Elliptic Equation, Journal of Scientific Computing,36 (2008),177-191.(SCI源刊) 
       18. Zhiguang Xiong,Chuanmiao Chen:Superconvergence of rectangular finite element with interpolated coefficients for semilinear elliptic problem [J],Applied Mathematics and Computation,181 (2006),1577-1584.(SCI源刊)
       19. Zhiguang Xiong, Chuanmiao Chen:Superconvergence of triangular quadratic finite element with interpolated coefficients for semilinear parabolic equation [J],Applied Mathematics and Computation,184 (2007),901-907.(SCI源刊)
       20. Z.G.Xiong,H. Hu:Simplified continuous finite element method for a class of nonlinear oscillating equations [J], Journal of Sound and Vibration,287 (2005),367-373.(SCI,EI源刊)
       21. Z.G.Xiong,H. Hu,Q.Tang:A modified eigenfunction expansion approximation for nonlinear oscillating equations [J],Journal of Sound and Vibration,290 (2006),1315-1321.(SCI,EI源刊) 
       22. Zhiguang Xiong,Chuanmiao Chen:Superconvergence of continuous finite elements with interpolated coefficients for initial value problems of nonlinear ordinary differential equation [J], Numer.Math. J.Chinese Univ.(English Ser.),16 (1) (2007),37-44.
      23. 熊之光,陈传淼:三角形二次插值系数有限元法解半线性椭圆问题的超收敛性[J],数学物理学报,26A (2) (2006),174-182. 
      24. 熊之光,陈荣华:非线性两点边值问题的强超收敛性(英文)[J],工程数学学报,22 (4) (2005)719-724.
      25. 熊之光,邓康:两点边值问题有限元重构导数强超收敛性[J],应用数学,17 (4) (2004),656-660.
      26. 熊之光,刘晓奇,邓康:抛物方程初边值问题连续有限元的超收敛性[J],数学的实践与认识,37 (11)(2007),141-147.
      27. H.Hu,Z.G.Xiong:Comparison of two Lindstedt-Poincare-type perturbation methods [J],Journal of Sound and Vibration,278 (2004),437-444 (SCI源刊,SCI,EI收录).
      28. Kang Deng,Zhiguang Xiong,Yunqing Huang:The Galerkin continuous finite element method for delay-differential equation with a variable term [J],Applied Mathematics and Computation1, 186(2007) 1488–1496.(SCI源刊)
       29. Q.Wang,K.Deng,Z.Xiong,Y.Huang:Partition of unity for a class of nonlinear parabolic equation on overlapping non-matching grids [J],Numer.Math.J.Chinese Univ.(English Ser.),16 (2007),1-13.
      30. 王奇生,邓康,熊之光,黄云清:重叠型非匹配网格抛物型方程的有限元法及收敛性分析,数学进展,36 (6) (2007),737-748.
H.Hu,Z.G.Xiong:Oscillations in an x(2m+2)/(2n+1) potential [J],Journal of Sound and Vibration,259 (2003),977-980 .(SCI源刊,SCI,EI收录) 
      31.  H.Hu,Z.G.Xiong:Oscillations in an x(2m+2)/(2n+1) potential [J],Journal of Sound and Vibration,259 (2003),977-980 .(SCI源刊,SCI,EI收录)

研究方向

1、微分方程数值解法

2、有限元法及其应用