个人信息

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

个人简介:王海金于2009年在郑州大学数学系取得理学学士学位，2015年在南京大学数学系取得理学博士学位，导师为张强教授。2013-2015年在美国布朗大学联合培养，合作导师为舒其望教授。目前任职于南京邮电大学理学院。研究方向为偏微分方程数值解，主要研究间断Galerkin方法的相关理论分析和数值应用，目前在SIAM J. Numer. Anal.,ESAIM:M2AN, Math. Comput., J. Sci. Comput.等国际著名期刊上发表SCI论文10余篇，主持国家自然科学基金青年基金项目和省青年科学基金项目各一项，参与国家自然科学基金面上项目2项。


研究领域:研究方向：偏微分方程数值解，主要研究间断Galerkin方法的相关理论分析和数值应用
科研项目：
[1] 半隐半显式全离散局部间断Galerkin方法的分析和应用. 南京邮电大学引进人才科研启动基金项目，NY215067，5万，2016.1-2018.12，主持，已结题。
[2] 高阶方程的半隐半显式局部间断Galerkin方法. 江苏省青年科学基金项目，BK**，20万，2016.7-2019.6，主持，已结题。
[3] 半隐半显式局部间断Galerkin方法的研究. 国家自然科学基金青年科学基金项目，NSFC.**，18万，2017.1-2019.12，主持，已结题。
[4] 间断Galerkin方法的局部误差估计. 国家自然科学基金面上项目，NSFC.**，48万，2017.1-2020.12，参与，在研。
[5] 间断Galerkin方法在双曲守恒律和Vlasov系统中的算法设计及应用. 国家自然科学基金面上项目，NSFC.**，54万，2019.1-2022.12，参与，在研。
论著代表作：
[1] H. J. Wang, Q. Zhang, S. P. Wang and C.-W.Shu, Local discontinuous Galerkin methods with explicit-implicit-null timediscretizations for solving nonlinear diffusion problems, Science China Mathematics., 63:1(2020),pp.183-204.

[2] H. J. Wang, Y. X. Liu, Q. Zhang and C.-W. Shu, Local discontinuous Galerkin methods withimplicit-explicit time-marching for time-dependent incompressible fluid flow, Mathematics of Computation, 88:315 (2019), pp.91-121.

[3] H. J. Wang, Q. Zhang and C.-W. Shu, Implicit-explicitlocal discontinuous Galerkin methods with generalized alternating numericalfluxes for convection-diffusion problems, Journal of ScientificComputing, 81(2019), pp.2080-2114.

[4] H. J. Wang, J.Zheng, F. Yu, H. Guo and Q. Zhang, Local discontinuous Galerkin methodwith implicit-explicit time marching for incompressible miscible displacementproblem in porous media, Journal of Scientific Computing, 78 (2019),pp.1-28.

[5] H. J. Wang, Q. Zhang and C.-W. Shu, Thirdorder implicit-explicit Runge-Kutta local discontinuous Galerkin methods withsuitable boundary treatment for convection-diffusion problems with Dirichletboundary conditions, Journal of Computational and Applied Mathematics, 342(2018), pp.164-179.

[6] H. J. Wang, Q. Zhang andC.-W. Shu, Stability analysis and error estimates of local discontinuousGalerkin methods with implicit-explicit time-marching for the time-dependentfourth order PDEs, ESAIM: Mathematical Modelling and Numerical Analysis (M2AN).51 (2017), pp.1931-1955.

[7] H. J. Wang, S. P. Wang, Q.Zhang and C.-W. Shu, Local discontinuousGalerkin methods with implicit-explicit time-marching for multi-dimensionalconvection-diffusion problems. ESAIM: Mathematical Modelling and NumericalAnalysis (M2AN). 50 (2016), pp.1083-1105.

[8] H. J. Wang, C.-W. Shu andQ. Zhang, Stability analysis and errorestimates of local discontinuous Galerkin methods with implicit-explicittime-marching for nonlinear convection-diffusion problems. AppliedMathematics and Computation, 272 (2016), pp.237-258.

[9] H. J. Wang, C.-W. Shu andQ. Zhang, Stability and error estimatesof the local discontinuous Galerkin method with implicit-explicit time-marchingfor advection-diffusion problems. SIAM Journal on Numerical Analysis, 53(1)(2015), pp. 206-227.

[10] H. J. Wang and Q. Zhang, Error estimate on a fully discrete localdiscontinuous Galerkin method for linear convection-diffusion problem. Journalof Computational Mathematics, 31(3) (2013), pp.283-307.

[11] Y. Xu, Q. Zhang, C.-W. Shu and H.J. Wang, The L2-norm stability analysis of Runge-Kutta discontinuousGalerkin methods for linear hyperbolic equations, SIAM Journal on NumericalAnalysis, 57:4 (2019), pp.1574-1601.
[12] C. H. Xia, Y. Li and H. J. Wang, Local discontinuous Galerkin methods with explicit Runge-Kutta timemarching for nonlinear carburizing model, Mathematical Methods in theApplied Sciences, 41(12) (2018), pp.4376-4390.

[13]Y. Cheng,Q. Zhang and H. J. Wang, Local analysis of the localdiscontinuous Galerkin method with the generalized alternating numerical fluxesfor two-dimensional singularity perturbed problem, International Journal of Numerical Analysis andModeling, 15:6 (2018), pp.785-810..1-28.