个人简历

李铁香，教授，硕士生导师，博士生导师，东南大学丘成桐中心主任助理，南京应用数学中心主任助理。主要研究方向为大规模矩阵计算及其应用、电磁场高效计算、反问题计算、三维计算共形几何及应用等，目前致力于将科学计算的高效算法应用于超材料电磁计算、三维医学影像及三维人脸动画形变，进一步将人工智能技术与高效算法结合实现相关的落地应用。目前已经在 SIIMS、SIMAX、JDE、JCP、JSC、Inverse Problems等国际学术刊物发表学术论文40余篇，主持二项国家自然科学基金委面上项目、主持完成一项国家自然科学基金委青年项目、主持完成省部级项目4项、主持完成一项电力横向课题。2013年获得江苏省科学技术奖（排名五），2014年入选江苏省“青蓝工程”中青年学术带头人培养对象，获得了 2017 年和 2019 年世界华人数学家联盟最佳论文奖—“若琳奖”。 招生方向： 硕士--数值代数、数据科学、计算共形几何、反问题计算、机器学习； 博士--大规模矩阵计算及应用。\r
2008/04 — 现在，东南大学； 2009/02 — 2010/01，台湾交通大学博士后； 2013/05 — 2015/05，东南大学博士后；\r
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;\r
招生方向： \r
硕士--数值代数、数据科学、计算共形几何、反问题计算、机器学习\r
博士--大规模矩阵计算及应用\r
2019.03-2021.3\r
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主持\r
光子晶体中的特征值问题的快速算法及应用，11971105\r
2020.01-2023.12\r
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主持\r
国家自然科学基金--面上项目\r
国家自然科学基金委\r
基于人工智能的投诉与缴费预警技术研究\r
2018.01-2018.12\r
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主持\r
横向课题\r
国网扬州供电公司\r
2016.01-2018.12\r
\r
主持\r
基于电磁场传播的特征值问题的计算及应用研究，11471074\r
2015.01-2018.12\r
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主持\r
国家自然科学基金--面上项目\r
国家自然科学基金委\r
江苏省“青蓝工程”－中青年学术带头人\r
2014.06-2017.06\r
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主持\r
江苏省“青蓝工程”--中青年学术带头人\r
江苏省教育厅\r
东南大学优秀青年教师科学研究资助项目\r
2013.01-2015.12\r
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主持\r
东南大学优秀青年教师研究资助项目\r
东南大学\r
纳米研究中一类非线性矩阵方程的保结构算法，2013T60481\r
2013.07-2014.12\r
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主持\r
中国博士后--特别资助\r
中国博士后基金委\r
回文式特征值问题的保结构算法研究，11101080\r
2012.01-2014.12\r
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主持\r
国家自然科学--青年基金项目\r
国家自然科学基金委\r
带结构的特征值问题的保结构算法研究及应用，20110092120023\r
2012.01-2014.12\r
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主持\r
教育部博士点基金--新教师类\r
教育部\r
高速火车振动分析问题中的保结构算法研究\r
2011.01-2012.12\r
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主持\r
东南大学资助计划--创新基金项目\r
东南大学\r
一类非线性矩阵方程的保辛结构算法研究\r
2012M520965\r
2012.10-2014.11\r
\r
主持\r
中国博士后--面上资助项目\r
中国博士后基金委\r
纳米技术中保结构算法的研究和应用\r
2011.09-2013.09\r
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主持\r
江苏省博士后--面上项目\r
江苏省人力资源和社会保障厅\r
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获奖与荣誉：\r
2012年获东南大学青年授课竞赛 二等奖\r
2013年获东南大学教学一等奖\r
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\r
2015年获71871奖教金二等奖\r
2017年获得“世界华人数学家联盟最佳论文奖-若琳奖”\r
2017年获得了东南大学教育基金会奖教金\r
2019年获得“世界华人数学家联盟最佳论文奖-若琳奖”\r
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已毕业学生： \r
1. 2017 年 周欣, 东南大学数学学院 \r
2. 2019 年 周滢滢, 昆山震川高级中学 \r
3. 2020 年 谢晓慧, 中国农业银行；刘瑞， 中国银行软件中心；王露瑶， 南京银行总行

研究领域

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近期论文

41. M.H. Yueh, T. Li, W.W. Lin and S.T. Yau, A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds, SIAM Journal on Imaging Sciences, 2020, 13(3), 1536--1564.\r
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40. H.S. Zhang, T. Li and T.F. Wu, On the Solvability of An Indefinite Nonlinear Kirchhoff Equation via Associated Eigenvalue Problems, Journal of Differential Equations, 2020, 269, 2853--895.\r
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39. T.M. Huang, T. Li, J.W. Lin, W.W. Lin and H. Tian, Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals, Journal of Scientific Computing, 2020, 83(2), 35.\r
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38. M.H. Yueh, H.-H. Huang, T. Li, W.W. Lin, and S.T. Yau, Optimized Surface Parameterizations with Applications on Chinese Virtual Broadcasting, Electronic Transactions on Numerical Analysis, 2020, 53, 383--405.\r
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37. H.S. Zhang, T. Li and T.F. Wu, Existence and Multiplicity of Nontrivial Solutions for Biharmonic Equations with Singular Weight Functions, Applied Mathematics Letters, 2020, 105, 106335.\r
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36. 葛安同, 谢晓慧, 谭忠恒,李铁香, 张云, 黄睿. 基于多尺度特征提取的电力客户欠费风险预测. 电力工程技术, 2020, 39, 159--165．\r
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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.\r
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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.\r
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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.\r
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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.\r
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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.\r
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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.\r
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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.\r
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28. X. Zhou and T. Li, Numerical Solution of Transmission Eigenvalue Problems of Helmholtz Equation. Advances in Applied Mathematics, 2016, 5(4), 683--694.\r
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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.\r
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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.\r
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25. T. Li and D. Chu, A Structure-Preserving Algorithm for Semi-stabilizing Solutions of Generalized Algebraic Riccati Equations, Electronic Transactions on Numerical Analysis, 2014, 41, 396--419.\r
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24. T. Li, E. K.-W. Chu, Y-C. Kuo and W. W. Lin, Solving Large-scale Nonsymmetric Algebraic Riccati Equations by Doubling, SIAM J Matrix Analysis and Applications, 2013, 34(3), 1129--1147.\r
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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.\r
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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.\r
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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.\r
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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.\r
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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.\r
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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. \r
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17. X. Yin, S. Liu and T. 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.\r
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16. T. Li and 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.\r
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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.\r
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14. E. K.-W. Chu, T. Li and 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.\r
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13. T. Li, E. K.-W. Chu and X. Zhao, Robust Pole Assignment via the Schur-Newton Algorithms, 2011 International Conference on Multimedia Technology, 2332--2335, 2011.\r
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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.\r
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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.\r
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10. T. Li, C. Y. Chiang, E. K.-W. Chu and W. W. Lin, The Palindromic Generalized Eigenvalue Problem A*x=\\lambda Ax: Numerical Solution and Applications, Linear Algebra and its Applications, 2011, 434, 2269--2284.\r
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9. E. K.-W. Chu, H. Y. Fan, Z. Jia, T. Li and 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.\r
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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.\r
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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.\r
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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.\r
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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.\r
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4. T. Li and T. F. Wu, Multiple Positive Solutions for a Dirichlet Problem Involving Critical Sobolev Exponent, Journal of Mathematical Analysis and Applications, 2010, 369, 245--257.\r
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3. T. Li and E. K.-W. Chu, A Schur-Newton Algorithm for Robust Pole Assignment of Descriptor Systems, Taiwanese Journal of Mathematics, 2008, 12(7), 1805--1826.\r
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2. T. Li and E. K.-W. Chu, A Schur-Newton Algorithm for Robust Pole Assignment, Taiwanese Journal of Mathematics, 2007, 11(4), 1485--1502.\r
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1. T. Li and M. Wei, Generalization of the Frobenius Metric (Chinese), Journal of East China Normal University (Natural Sciences), 2005, 3, 6--11.
1. 江苏省数学学会计算数学分会第二届理事会理事2. 东南大学丘成桐中心主任助理3. 南京应用数学中心主任助理