李娴娟,女,教授,硕士生导师,av直播
旗山学者。2009年毕业于厦门大学数学科学av直播
计算数学专业,同年在香港浸会大学-北京师范大学联合国际av直播
从事博士后研究,2011年10月入职av直播
。主要从事分数阶微分方程数值解法、快速算法以及并行计算等方向的研究。
教育及工作经历
2019/07—至今:av直播
av直播
,教授
2017/08—2018/08:布朗大学,访问学者
2011/10—2019/06:av直播
数学与计算机科学av直播
,副教授
2009/08—2011/08:香港浸会大学-北京师范大学联合国际av直播
,博士后
2004/09—2009/07:厦门大学,获博士学位
2000/09—2004/07:中国矿业大学(北京),获学士学位
主持的av直播
项目
(1)国家自然科学基金(面上),11771083,分数阶偏微分方程高精度数值方法的研究,2018/01—2021/12,主持
(2)国家自然科学基金(青年),11201077,Volterra积分方程与高维分数阶扩散方程的理论与数值研究,2013/01—2015/12,主持
(3)av直播
旗山学者,XRC-18035,分数阶偏微分方程谱方法的研究,2018/07—2021/07,主持
(4)福建省教育厅高校杰出青年av直播
人才培育计划,JA14034,分数阶算子离散特征值的研究,2014/04—2017/04,主持
(5)福建省自然科学基金(面上),2012J01007,分数阶偏微分方程的数值计算与理论分析,2012/01—2014/12,主持
发表av直播
论文
(1)Xianjuan Li and Yanhui Su. A parallel in time/spectral collocation combined with finite difference method for the time fractional differential equations, Journal of Algorithms & Computational Technology, 2021, 15(1): 1-7.
(2)Xianjuan Li, Zhiping Mao, Nan Wang, Fangying Song, Hong Wang and George Em Karniadakis. A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation, Computer Methods in Applied Mechanics and Engineering, 2020, 366
(3)Yanhui Su, Lizhen Chen, Xianjuan Li and Chuanju Xu. On the inf-sup constant of a triangular spectral method for the Stokes equations, Computational Methods in Applied Mathematics, 2016, 16(3): 507-522
(4)Xianjuan Li, Tao Tang and Chuanju Xu. Numerical solutions for weakly singular Volterra integral equations using Chebyshev and Legendre pseudo-spectral Galerkin methods, Journal of Scientific Computing, 2016, 67(1): 43-64
(5)Yanping Chen, Xianjuan Li and Tao Tang. A note on Jacobi spectral-collocation methods for weakly singular Volterra integral equations with smooth solutions, Journal of Computational Mathematics, 2013, 31(1): 47-56
(6)Xianjuan Li, Tao Tang and Chuanju Xu. Parallel in time algorithm with spectral-subdomain enhancement for Volterra integral equations, SIAM Journal on Numerical Analysis, 2013, 51(3): 1735-1756
(7)Ziqing Xie, Xianjuan Li and Tao Tang. Convergence analysis of spectral Galerkin methods for Volterra type integral equations, Journal of Scientific Computing,2012, 53(2): 414-434
(8)Xianjuan Li and Tao Tang. Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind, Frontiers of Mathematics in China, 2012, 7(1): 69-84
(9)Yumin Lin, Xianjuan Li and Chuanju Xu. Finite difference/spectral approximations for the fractional cable equation, Mathematics of Computation, 2011, 80(275): 1369-1396
(10)Xianjuan Li and Chuanju Xu. Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation, Communications in Computational Physics, 2010, 8(5): 1016-1051
(11)Xianjuan Li and Chuanju Xu. A space-time spectral method for the time fractional diffusion equation, SIAM Journal on Numerical Analysis, 2009, 47(3): 2108-2131