一、基本情况


刘晓薇，女，理学博士，教授，硕士生导师。毕业于同济大学基础数学专业，研究方向：非线性抛物型偏微分方程、偏微分方程数值解等。目前已发表SCI论文二十余篇；主持国家自然科学青年基金一项，山东省自然科学基金面上项目一项，山东省高校科技计划项目一项，承担国家自然科学基金面上项目一项；获山东省高等学校科学技术奖二等奖一项。

二、科研项目


1、国家自然科学青年基金，《反应扩散方程Robin边值问题解的渐近行为研究》，2017/01-2019/12，19万元，主持。
2、山东省自然科学基金面上项目，《带Robin边界条件和自由边界条件的反应扩散方程研究》，2016/11-2019/06，12万元，主持。
3、山东省高等学校科技计划项目，《外来物种入侵的反应扩散模型研究》，2016/08-2019/08，5万元，主持。
4、国家自然科学基金面上项目，《奇异摄动问题有限元方法的超逼近性研究》，2018/01-2021/12，48万元，承担。


三、代表性论著


(1) Xiaowei Liu，Jin Zhang，Uniform supercloseness of Galerkin finite element method for convection-diffusion problems with characteristic layers，Computers & Mathematics with Applications，75(2018): 444-458.
(2) Xiaowei Liu, Jin Zhang, Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with characteristic layers, Numerical Algorithms, 78(2018): 465-483.
(3)Xiaowei Liu，Martin Stynes, Jin Zhang，Supercloseness of edge stabilization on Shishkin rectangular meshes for convection-diffusion problems with exponential layers，IMA Journal of Numerical Analysis，38(2018): 2105–2122.
(4) Xiaowei Liu，Jin Zhang，The transition speed of reaction-diffusion problems with Robin and free boundary conditions, Applied Mathematics Letters, 76(2018): 135-141.
(5) Xiaowei Liu，Jin Zhang，Asymptotic behaviors of radially symmetric solutions to diffusion problems with Robin boundary condition in exterior domain,Nonlinear Analysis: Real World Applications,39(2018): 1-13.
(6)Jin Zhang, Xiaowei Liu, Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with exponential layers, BIT Numerical Mathematics, 58(2018): 221-246.
(7) Xiaowei Liu，Jin Zhang，Analysis of the SDFEM in a streamline diffusion norm for singularly perturbed convection diffusion problems, Applied Mathematics Letters, 69 (2017): 61-66.
(8)Xiaowei Liu，Jin Zhang，Galerkin finite element methods for convection diffusion problems with exponential layers on Shishkin triangular meshes and hybrid meshes, Applied Mathematics and Computation, 307 (2017)：244-256.
(9) Jin Zhang, Xiaowei Liu, Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers, Advances in Computational Mathematics, 43(2017): 759–775.
(10) Xiaowei Liu，Jin Zhang，Asymptotic behavior of solutions of areaction diffusion equation with inhomogeneous Robin boundary condition andfree boundary condition，Nonlinear Analysis: Real World Applications, 28 (2016)：126-139.
(11)Jin Zhang, Xiaowei Liu, Convergence in $L^2$ norm of the SDFEM on a Shishkin triangular mesh for problems with characteristic layers, Applied Mathematics and Computation, 287 (2016) 171-183.
(12)Jin Zhang, Xiaowei Liu，Analysis of SDFEM on Shishkin Triangular Meshes and Hybrid Meshes for Problems with Characteristic Layers，Journal of Scientific Computing，68 (2016) 1299-1316.
(13) Jin Zhang，Xiaowei Liu，Min Yang，Optimal order L^2 error estimate of SDFEM on Shishkin triangular meshes for singularly perturbed convection diffusion equations，SIAM Journal on Numerical Analysis, 54 (2016): 2060-2080.
(14)Xiaowei Liu, Bendong Lou, On a reaction–diffusion equation with Robin and free boundary conditions, Journal of Differential Equations, 259 (2015): 423-453.
(15)Xiaowei Liu, Jin Zhang, Analysis of the SDFEM for convection-diffusion problems with characteristic layers, Applied Mathematics and Computation, 262 (2015)：326-334.
(16)Xiaowei Liu, Bendong Lou, Asymptotic Behavior of Solutions to Diffusion Problems with Robin and Free Boundary Conditions, Mathematical Modelling of Natural Phenomena, 8 (2013): 18-32.


四、联系方式
E-mail：liuxw@qlu.edu.cn