李铁香
东南大学数学学院教授
李铁香,女,博士,东南大学数学学院教授,东南大学丘成桐中心主任助理。
个人经历
2003/07 — 2008/01,北京大学,数学科学学院,博士; 1999/07 — 2003/06,华东师范大学,数学系,学士;
江苏省数学学会计算数学分会第二届理事会理事
研究方向
主要研究方向为大规模矩阵计算及其应用,反问题计算,数值分析等。
学术成果
目前已发表SCI学术论文30余篇,主持国家级项目5项,省部级项目4项。
37. H.S. Zhang,T. Liand T.F. Wu, Existence and multiplicity of nontrivial solutions for biharmonic equations with singular weight functions,Applied Mathematics Letters,2020, 105, 106335.
36. H.S. Zhang,T. Liand T.F. Wu, On the solvability of an indefinite nonlinear Kirchhoff equation via associated eigenvalue problems,Journal of Differential Equations, 2020.
35.M.H. Yueh,T. Li, W.W. Lin and S.T. Yau,A Novel Algorithm for Volume-Preserving Parameterizations of Three-Manifolds,SIAM Journal on Imaging Sciences, 2019, 12(2), 1071--1098.
34.S.H. Chou, T.M. Huang,T. Li,J.W. Lin and W.W. Lin, A Finite Element Based Fast Eigensolver for Three Dimensional Anisotropic Photonic Crystals,Journal of Computational Physics,2019, 386, 611--631.
33.T.M. Huang,T. Li,R.L. Chern and W.W. Lin, Electromagnetic Field Behavior of 3D Maxwell's Equations for Chiral Media,Journal of Computational Physics, 2019, 379, 118--131.
32. Z.C. Guo,T. Li,Y.Y. Zhou, Structure-preserving ΓQR and Γ-Lanczos algorithms for Bethe–Salpeter eigenvalue problems,Journal of Computational and Applied Mathematics, 2018, 341, 12--30.
31.T. Li,T.M. Huang, W.W. Lin and J.N. Wang, On the transmission eigenvalue problem for the acoustic equation with a negative index of refraction and a practical numerical reconstruction method,Inverse Problems & Imaging, 2018, 12(4), 1033--1054.
30. T. Li, T. M. Huang, W. W. Lin and J. N. Wang, An Efficient Numerical Algorithm for Computing Densely Distributed Positive Interior Transmission Eigenvalues,Inverse Problems, 2017, 33(3), 035009.
29. T. Li, R. C. Li and W. W. Lin, A Symmetric Structure-preserving ΓQR Algorithm for Linear Response Eigenvalue Problems,Linear Algebra and its Applications, 2017, 520, 191--214.
28.X. Zhou andT. Li,Numerical Solution of Transmission Eigenvalue Problems of Helmholtz Equation.Advances in Applied Mathematics, 2016,5(4), 683--694.
27. T. Li, W.Q. Huang, W.W. Lin and J. Liu, On Spectral Analysis and A Novel Algorithm for Transmission Eigenvalue Problems,Journal of Scientific Computing, 2015,64(1), 83--108.
26. T. Li,J. Sun and T. F. Wu, Existence of Homoclinic Solutions for A Fourth Order Differential Equation with A Parameter,Applied Mathematics and Computation, 2015, 251, 499--506.
25. T. Liand D. Chu, A Structure-preserving Algorithm for Semi-Stabilizing Solutions of Generalized Algebraic Riccati Equations,Electronic Transactions on Numerical Analysis, 2014, 41, 396--419.
24. T. Li, E. K.-W. Chu, Y-C. Kuoand W. W. Lin, Solving Large-Scale Nonsymmetric Algebraic Riccati Equations by Doubling,SIAM J Matrix Analysis and Applications, 2013, 34(3), 1129--1147.
23. T. Li, C-Y. Weng, E. K.-W. Chu and W. W. Lin, Large-Scale Stein and Lyapunov Equations, Smith Method, and Applications,Numerical Algorithms, 2013, 63, 727--752.
22.T.M. Huang,T. Li, W.W. Lin and C.T. Wu, Numerical Studies on Structure-preserving Algorithms for Surface Acoustic Wave Simulations,Journal of Computational and Applied Mathematics, 2013, 244, 140--154.
21. T. Li, E. K.-W. Chu and W. W. Lin, Solving Large-scale Continuous-time Algebraic Riccati Equations by Doubling,Journal of Computational and Applied Mathematics, 2013, 237(1), 373--383.
20. T. Li, and E. K.-W. Chu, Pole Assignment for Linear and Quadratic Systems with Time-delay in Control,Numerical Linear Algebra with Applications, 2013, 20, 291--301.
19.W. Huang,T. Li, Y-T. Li and W. W. Lin, A Semi-orthogonal Generalized Arnoldi Method and its Variations for Quadratic Eigenvalue Problems,Numerical Linear Algebra with Applications, 2013, 20, 259--280.
18.M. Chang, S. Zhou, Q. Sun,T. Li, J. Ni, Recovery of Bacillus Thuringiensis Based Biopesticides from Fermented Sludge by Cross−flow Microfiltration,Desalination and Water Treatment, 2012, 43, 17--28.
17.X. Yin, S. Liu andT. Li, On Positive Definite Solutions of the Matrix Equation X+A*X(−q)A=Q(0 < q <= 1),Taiwanese Journal of Mathematics, 2012, 16(4), 1391--1407.
16. T. Liand T. F. Wu, Existence of Multiple Positive Solutions for Nonhomogeneous Elliptic Problems in R−N,Nonlinear Analysis, Theory, Methods & Applications, 2012, 75(14), 5639--5652.
15.E. K.-W. Chu,T. Li, W. W. Lin and C-Y. Weng, A Modified Newton's Method for Rational Riccati Equations Arising in Stochastic Control, 2011 International Conference on Communications, Computing and Control Applications (CCCA 2011), 2011.
14.E. K.-W. Chu,T. Liand W. W. Lin, ARE-Type Iterations for Rational Riccati Equations Arising in Stochastic Control, Proceedings of the 2011 Chinese Control and Decision Conference (CCDC), 2011.
13. T. Li, E. K.-W. Chu andX. Zhao, Robust Pole Assignment via the Schur-Newton Algorithms, 2011 International Conference on Multimedia Technology, 2332--2335, 2011.
12. T. Li, E. K.-W. Chu, J. Juang and W. W. Lin, Solution of a Nonsymmetric Algebraic Riccati Equation from a Two-Dimensional Transport Model,Linear Algebra and its Applications, 2011, 434(1), 201--214.
11. T. Li, E. K.-W. Chu, J. Juang and W. W. Lin, Solution of a Non-Symmetric Algebraic Riccati Equation from a One-Dimensional Multi-State Transport Model,IMA Journal of Numerical Analysis, 2011, 31, 1453--1467.
9.E. K.-W. Chu, H. Y. Fan, Z. Jia,T. Liand W. W. Lin, The Rayleigh-Ritz Method, Refinement and Arnoldi Process for Periodic Matrix Pairs,Journal of Computational and Applied Mathematics, 2011, 235(8), 2626--2639.
8. T. Li, E. K.-W. Chu and W. W. Lin, Robust Pole Assignment for Ordinary and Descriptor Systems via the Schur Form,Numerical Linear Algebra in Signals, Systems and Control, 2011, 80, 341--366.
7. T. Li, E. K.-W. Chu and C. S. Wang, Asymptotic perturbation of palindromic eigenvalue problems,Taiwanese Journal of Mathematics, 2010, 14(3A), 781--793.
6. T. Li, E. K.-W. Chu and W. W. Lin, A structure-preserving doubling algorithm for quadratic eigenvalue problems arising from time-delay systems,Journal of Computational and Applied Mathematics, 2010, 233(8), 1733--1745.
5. T. Li, H. L. Lin and T. F. Wu, Existence of 2-Nodal Solutions for Semilinear Elliptic Equations in Unbounded Domains,Advanced Nonlinear Studies, 2010, 10, 1--21.
4. T. Liand T. F. Wu, Multiple Positive Solutions for a Dirichlet Problem Involving Critical Sobolev Exponent,Journal of Mathematical Analysis and Applications, 2010, 369, 245--257.
3. T. Liand E. K.-W. Chu, A Schur-Newton Algorithm for Robust Pole Assignment of Descriptor Systems,Taiwanese Journal of Mathematics, 2008, 12(7), 1805--1826.
2. T. Liand E. K.-W. Chu, A Schur-Newton Algorithm for Robust Pole Assignment,Taiwanese Journal of Mathematics, 2007, 11(4), 1485--1502.
1. T. Liand M. Wei, Generalization of the Frobenius Metric (Chinese),Journal of East China Normal University (Natural Sciences), 2005, 3, 6--11.
荣誉奖项
2013年获得江苏省科学技术奖(排名五),2014年被推荐为江苏省“青蓝工程”中青年学术带头人培养对象。
2012年获东南大学青年授课竞赛 二等奖
2013年获东南大学教学一等奖
2014年被推荐为江苏省“青蓝工程”中青年学术带头人培养对象
2015年获71871奖教金二等奖
2017年获得“世界华人数学家联盟最佳论文奖-若琳奖”
2017年获得了东南大学教育基金会奖教金
2019年获得“世界华人数学家联盟最佳论文奖-若琳奖”
2021年11月29日,入选2021年度青海省“昆仑英才·高端创新创业人才”计划拟入选公示名单。
最新修订时间:2024-01-15 11:09
目录
概述
个人经历
研究方向
学术成果
参考资料