数学与统计学院研究生导师信息

一、电子照片

二、基本情况

姓名：乔雷洁

性别：女

学历学位：博士

职称：讲师

职务：无

学术兼职：无

研究方向：偏微分方程数值解

电子邮箱：570765928@qq.com

三、专业教学及教学成果

主要承担《计算方法》（英文授课）、《高等数学》（中英文授课）等课程教学；

四、研究方向及研究团队

主要从事偏微分方程数值解领域科研工作；

五、科研成果

（一）代表性学术论文:

[1] L. Qiao*, D. Xu, BDF ADI orthogonal spline collocation scheme for the fractional integro-differential equation with two weakly singular kernels, Comput. Math. Appl. 78 (2019) 3807–3820. 

[2] L. Qiao, D. Xu, Z. Wang*, An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel, Appl. Math. Comput. 354 (2019) 103–114. 

[3] L. Qiao, D. Xu, W. Qiu*, A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. Comput. Math. Appl. (2021) https://doi.org/10.1016/j.camwa.2021.10.014.                                                               

[4] L. Qiao*, D. Xu, Compact alternating direction implicit scheme for integro- differential equations of parabolic type, J. Sci. Comput. 76 (2018) 565–582.  

[5] L. Qiao, D. Xu, Z. Wang*, An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation, Appl. Numer. Math. 151 (2020) 199–212. 

[6] L. Qiao, D. Xu, Y. Yan, High-order ADI orthogonal spline collocation method for a new 2D fractional integro-differential problem, Math. Meth. Appl. Sci. (2020) DOI: 10.1002/mm a.6258. 

[7] L. Qiao*, D. Xu, A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation, Adva. Comput. Math. (2021) 

[8] L. Qiao*, D. Xu, Orthogonal spline collocation scheme for the multi-term time fractional diffusion equation, Int. J. Comput. Math. 95 (2018) 478–1493. 

[9] L. Qiao, B. Tang*, D. Xu, W. Qiu, High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation,                                                                                                                                                                                                                                                                                                                                                                                                           Int. J. Comput. Math. (2021)

[10] L. Qiao*, D. Xu, Euler/quasi-wavelet method for the variable order fractional                                                                  advection-diffusion equation with a nonlinear source term, Advances Math. Comp. Sci. Appl. 57 (2016) 2227–4588.

（二）已完成或已在承担的主要课题:

［1］青年科学基金项目，项目名称:非光滑初值时间分数阶积分微分方程高阶数值方法研究，项目批准号:12101080，起止时间:2022.1.1-2024.12.31