一、个人基本情况
姓名:陶琪
性别:女
职称:副教授
所在部门: 计算数学所
二、主要研究方向
偏微分方程数值解,间断有限元方法
三、教育与工作经历
教育经历
2011/09-2015/06 西北师范大学, 本科
2015/09-2020/06 中国科学技术大学, 博士, 导师: 徐岩教授, 舒其望教授
2018/08-2020/04 布朗大学, 联合培养, 导师: 舒其望教授
工作经历
2020/07-2022/06 北京计算科学研究中心, 博士后, 合作导师:张智民教授
2022/07-至今 北京工业大学,副教授
四、主要科研项目
2020-2022 中国博士后特别资助 (站前), 主持
2021-2022 中国博士后面上资助, 主持
2022-2025 国家自然科学基金面上项目, 参与
五、代表性成果与荣誉
发表的论文:
[1] Q. Tao and Y. Xia, Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations, J. Comput. Appl. Math., 356 (2019), 198-218.
[2] Q. Tao and Y. Xu, Superconvergence of arbitrary lagrangian-eulerian discontinuous galerkin methods for linear hyperbolic equations, SIAM J. Numer. Anal., 57 (2019), 2142-2165.
[3] Q. Tao, Y. Xu, and C.-W. Shu, An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives, Math. Comput., 89 (2020), 2753-2783.
[4] Y. Liu, Q. Tao, and C.-W. Shu, Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation, ESAIM-Math. Model. Num. (M2AN), 54 (2020), 1797-1820.
[5] Q. Tao, Y. Xu, and C.-W. Shu, A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations, J. Comput. Appl. Math., 386 (2021), 113230.
[6] Q. Tao, W. Cao, and Z. Zhang, Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations, J. Sci. Comput., 88 (2021), 63.
[7] Q. Tao, Y. Xu and X. Li, Negative norm estimate of arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for nonlinear hyperbolic equations, Commun. Appl. Math. Comput., 4 (2022), 250-270.
[8] Y. Liu, J. Lu, Q. Tao and Y. Xia, An oscillation-free discontinuous Galerkin method for shallow water equations, J. Sci. Comput., 92 (2022), 109.
[9] Q. Tao, L. Ji, J. K. Ryan and Y. Xu, Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives, J. Sci. Comput., 93 (2022), 13.
六、指导研究生
每年招收一名研究生
七、联系方式
地址:北京市朝阳区平乐园100号北京工业大学数学统计学与力学学院 100124
办公房间:数理楼134
E-mail:taoqi@bjut.edu.cn