刘晓薇简介

发布者:数学与统计学院发布时间:2017-11-10浏览次数:2510


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2017/01-2019/1219万元,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2016/11-2019/0612万元,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》,2016/08-2019/085万元,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》,2018/01-2021/1248万元,承担。


三、代表性论著


(1) Xiaowei LiuJin ZhangUniform supercloseness of Galerkin finite element method for convection-diffusion problems with characteristic layersComputers & Mathematics with Applications75(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 LiuMartin Stynes, Jin ZhangSupercloseness of edge stabilization on Shishkin rectangular meshes for convection-diffusion problems with exponential layersIMA Journal of Numerical Analysis38(2018): 2105–2122.

(4) Xiaowei LiuJin ZhangThe transition speed of reaction-diffusion problems with Robin and free boundary conditions, Applied Mathematics Letters, 76(2018): 135-141.

(5) Xiaowei LiuJin ZhangAsymptotic 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 LiuJin ZhangAnalysis of the SDFEM in a streamline diffusion norm for singularly perturbed convection diffusion problems, Applied Mathematics Letters, 69 (2017): 61-66.

(8)Xiaowei LiuJin ZhangGalerkin 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 LiuJin ZhangAsymptotic behavior of solutions of areaction diffusion equation with inhomogeneous Robin boundary condition andfree boundary conditionNonlinear 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 LiuAnalysis of SDFEM on Shishkin Triangular Meshes and Hybrid Meshes for Problems with Characteristic LayersJournal of Scientific Computing68 (2016) 1299-1316.

(13) Jin ZhangXiaowei LiuMin YangOptimal order L^2 error estimate of SDFEM on Shishkin triangular meshes for singularly perturbed convection diffusion equationsSIAM 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-mailliuxw@qlu.edu.cn