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，BK20160877，20万，2016.7-2019.6，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.11601241，18万，2017.1-2019.12，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.11671199，48万，2017.1-2020.12，参与，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.11871428，54万，2019.1-2022.12，参与，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 time discretizations 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 with implicit-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-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems, Journal of Scientific Computing, 81(2019), pp.2080-2114.

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

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

[6] H. J. Wang, Q. Zhang and C.-W. Shu, Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth 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 discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN). 50 (2016), pp.1083-1105.

[8] H. J. Wang, C.-W. Shu and Q. Zhang, Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems. Applied Mathematics and Computation, 272 (2016), pp.237-258.

[9] H. J. Wang, C.-W. Shu and Q. Zhang, Stability and error estimates of the local discontinuous Galerkin method with implicit-explicit time-marching for 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 local discontinuous Galerkin method for linear convection-diffusion problem. Journal of 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 discontinuous Galerkin methods for linear hyperbolic equations, SIAM Journal on Numerical Analysis, 57:4 (2019), pp.1574-1601.

[12] C. H. Xia, Y. Li and H. J. Wang, Local discontinuous Galerkin methods with explicit Runge-Kutta time marching for nonlinear carburizing model, Mathematical Methods in the Applied Sciences, 41(12) (2018), pp.4376-4390.

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