基本介紹
- 中文名：李鐵香
- 學位/學歷：博士
- 職業：教師
- 專業方向：大規模矩陣計算及其套用
- 任職院校：東南大學數學學院
個人經歷,研究方向,學術成果,榮譽獎項,
個人經歷
2003/07 — 2008/01，北京大學，數學科學學院，博士; 1999/07 — 2003/06，華東師範大學，數學系，學士;
江蘇省數學學會計算數學分會第二屆理事會理事
研究方向
主要研究方向為大規模矩陣計算及其套用，反問題計算，數值分析等。
學術成果
目前已發表SCI學術論文30餘篇，主持國家級項目5項，省部級項目4項。
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.
10. T. Li, C. Y. Chiang, E. K.-W. Chu and W. W. Lin, The Palindromic Generalized Eigenvalue ProblemA*x=\lambda Ax: Numerical Solution and Applications,Linear Algebra and its Applications, 2011, 434, 2269--2284.
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.
** | 2019.03-2021.3 | 主持 | 創新專區項目 | ** |
光子晶體中的特徵值問題的快速算法及套用，11971105 | 2020.01-2023.12 | 主持 | 國家自然科學基金--面上項目 | 國家自然科學基金委 |
基於人工智慧的投訴與繳費預警技術研究 | 2018.01-2018.12 | 主持 | 橫向課題 | 國網揚州供電公司 |
** | 2016.01-2018.12 | 主持 | 裝備預研項目 | ** |
基於電磁場傳播的特徵值問題的計算及套用研究，11471074 | 2015.01-2018.12 | 主持 | 國家自然科學基金--面上項目 | 國家自然科學基金委 |
江蘇省“青藍工程”－中青年學術帶頭人 | 2014.06-2017.06 | 主持 | 江蘇省“青藍工程”--中青年學術帶頭人 | 江蘇省教育廳 |
東南大學優秀青年教師科學研究資助項目 | 2013.01-2015.12 | 主持 | 東南大學優秀青年教師研究資助項目 | 東南大學 |
納米研究中一類非線性矩陣方程的保結構算法，2013T60481 | 2013.07-2014.12 | 主持 | 中國博士後--特別資助 | 中國博士後基金委 |
回文式特徵值問題的保結構算法研究，11101080 | 2012.01-2014.12 | 主持 | 國家自然科學--青年基金項目 | 國家自然科學基金委 |
帶結構的特徵值問題的保結構算法研究及套用，20110092120023 | 2012.01-2014.12 | 主持 | 教育部博士點基金--新教師類 | 教育部 |
高速火車振動分析問題中的保結構算法研究 | 2011.01-2012.12 | 主持 | 東南大學資助計畫--創新基金項目 | 東南大學 |
一類非線性矩陣方程的保辛結構算法研究 2012M520965 | 2012.10-2014.11 | 主持 | 中國博士後--面上資助項目 | 中國博士後基金委 |
納米技術中保結構算法的研究和套用 | 2011.09-2013.09 | 主持 | 江蘇省博士後--面上項目 | 江蘇省人力資源和社會保障廳 |
榮譽獎項
2013年獲得江蘇省科學技術獎（排名五），2014年被推薦為江蘇省“青藍工程”中青年學術帶頭人培養對象。
2012年獲東南大學青年授課競賽 二等獎
2013年獲東南大學教學一等獎
2014年被推薦為江蘇省“青藍工程”中青年學術帶頭人培養對象
2015年獲71871獎教金二等獎
2017年獲得“世界華人數學家聯盟最佳論文獎-若琳獎”
2017年獲得了東南大學教育基金會獎教金
2019年獲得“世界華人數學家聯盟最佳論文獎-若琳獎”
2021年11月29日，入選2021年度青海省“崑崙英才·高端創新創業人才”計畫擬入選公示名單。
