王凯，中南大学数学与统计学院讲师，研究兴趣是偏微分方程数值方法及分析，主要包括：Stokes-Darcy界面问题的长时间稳定高精度解耦方法、时间分数阶偏微分方程的高精度数值方法、非光滑区域中Ginzburg-Landau超导方程的数值方法、二维非局部相场晶体模型的数值方法和分析等。

1. Changxin Qiu, Kai Wang*, Xiaoming He and Yanping Lin: Analysis of a joint Stokes-Darcy Ritz-projection and multi-step BDF schemes for decoupling the unsteady Navier-Stokes-Darcy model. IMA Journal of Numerical Analysis, online, https://doi.org/10.1093/imanum/drag037, 2026.

2. Qiang Du, Kai Wang and Jiang Yang*: Computational and analytical studies of a new nonlocal phase-field crystal model in two dimensions. Mathematical Models and Methods in Applied Sciences, 34(11):2099--2139, 2024.

3. Kai Wang* and Na Wang: Analysis of a fully discrete finite element method for parabolic interface problems with nonsmooth initial data. Journal of Computational Mathematics, 40(5):777--793, 2022.

4. Kai Wang* and Zhi Zhou: High-order time-stepping schemes for semilinear subdiffusion equations. SIAM Journal on Numerical Analysis, 58(6):3226--3250, 2020.

5. Buyang Li*, Kai Wang and Zhimin Zhang: A Hodge decomposition method for dynamic Ginzburg--Landau equations in nonsmooth domains -- a second approach. Communications in Computational Physics, 28(2):768--802, 2020.

6. Wentao Cai, Jilu Wang* and Kai Wang: Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media. Journal of Scientific Computing, 83(2), 2020.

7. Buyang Li*, Kai Wang and Zhi Zhou: Long-time accurate symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-selfadjoint operators. SIAM Journal on Numerical Analysis, 58(1):189-210, 2020.

8. Kai Wang, Shiting Wen, Rizwan Zahoor, Ming Li and Boz\v{i}dar \v{S}arler*: Method of regularized sources for axisymmetric Stokes flow problems. International Journal of Numerical Methods for Heat \& Fluid Flow, 26(3/4):1226--1239, 2016.

1. 湖南省自然科学基金，青年科学基金项目（C类），2026JJ60331，Stokes-Darcy耦合方程的单步高阶解耦数值方法研究， 2026.01--2028.12，5万元，在研，主持

2. 国家自然科学基金，青年科学基金项目（C类），12401553，Navier-Stokes-Darcy耦合模型的高效解耦数值格式及理论分析，2025.01--2027.12，30万元，在研，主持

kai DOT wang DOT kw AT csu DOT edu DOT cn