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李铁香
教授
数学学院
计算数学系
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211189
  • 基本信息
  • 研究成果
  • 项目与荣誉
  • 社会兼职
  • 李铁香，教授，博士研究生导师，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、三维计算共形几何及应用、反问题计算等。目前已经在 SISC、SIIMS、SIMAX、JCP、Inverse Problems、ACM TOMS、CPC、JDE、JSC、Scientific Reports 等国际学术刊物发表学术论文60余篇，主持四项国家自然科学基金项目。2013年获得江苏省科学技术奖（排名5），2014年评为江苏省“青蓝工程”中青年学术带头人，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”，获得2020年第三届江苏省工业与应用数学学会工业与应用数学青年奖，2021年获得华夏建设科学技术奖一等奖（排名5），获得东南大学青年教师授课竞赛二等奖、东南大学教学一等奖等荣誉。目前致力于将科学计算的高效算法应用于新型材料计算、三维医学影像处理、自动化最优控制问题，将人工智能技术与高效算法结合实现相关的落地应用。针对三维光子晶体材料计算开发的软件 FAME 入选“2021南京创新周应用场景推荐项目”。招生方向：数值代数、数据科学、计算几何、反问题计算、机器学习、深度学习、应用统计等。
    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；
    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;

  • 招生方向：


    硕士--数值代数、数据科学、计算几何、反问题计算、机器学习、深度学习、应用统计


    博士--大规模矩阵计算及应用、保度计算几何


    博士后


    学术论文：

    67. X.L. Lyu, T. Li, J.W. Lin and W.W. Lin, An SVD-based Fast Algorithm for 3D Maxwell's Equations with Perfect Electric Conductor and Quasi-periodic Boundary Conditions, SIAM Journal on Scientific Computing, 2025.

    66. X.L. Lyu, T. Li and W.W. Lin, A Contour Integral-based Method for Nonlinear Eigenvalue Problems for Semi-infinite Photonic Crystals, Computer Physics Communications, 2025, 306, 109377.

    65. H. Liu, X. Wang, R. Liu, Y. Xie and T. Li, Air-ground Multi-agent System Cooperative Navigation Based on Factor Graph Optimization SLAM,  Measurement Science and Technology, 2024, 35(6), 066303.

    64. X. Liang, Z. Jian, Z.H. Tan, R. Dai, H. Wang, J. Wang, G. Qiu, M. Chang and T. Li,  Dissolved Oxygen Concentration Prediction in the Pearl River Estuary with Deep Learning for Driving Factors Identification: Temperature, pH, Conductivity, and Ammonia Nitrogen, Water,  2024, 16(21), 3090.

    63. Z.H. Tan, T. Li, W.W. Lin and S.T. Yau, A Robust Hessian-based Trust Region Algorithm for Spherical Conformal Parameterizations, Science China Mathematics,  2024, 1-26.

    62. Q. Liu, H.-N. Yang, T. Li, H. Tian and Z. Yang, An Efficient and Unified Method for Band Structure Calculations of 2D Anisotropic Photonic-crystal Fibers, Calcolo, 2024, 61, 20.

    61. X.L. Lyu, H. Tian, T. Li and W.W. Lin, Fast SVD-Based Linear Elastic Eigenvalue Problem Solver for Band Structures of 3D Phononic Crystals, Journal of Scientific Computing, 2024, 99, 20.

    60. H. Liu, Z. Li, K. Huang, R, Wang, G. Cheng and T. Li,  Evolutionary Reinforcement Learning Algorithm for Large‑scale Multi‑agent Cooperation and Confrontation Applications,  The Journal of Supercomputing, 2024,80 (2), 2319-2346.

    59. 杨浩楠，吕星龙，李铁香，杨占山，三维各向异性光子晶体的快速仿真算法，东南大学学报（自然科学版）, 2023, Vol. 53(4), 725—732.

    58. J.-W. Liao, T.-M. Huang, T. Li, W.-W. Lin, H. Wang and S.-T. Yau, An UNet-Based Brain Tumor Segmentation Framework via Optimal Mass Transportation Pre-processing, In: Bakas, S., et al. Brainlesion: Glioma, Multiple Sclerosis, Stroke and Traumatic Brain Injuries. BrainLes 2022. Lecture Notes in Computer Science, 2023, Vol. 13769. Springer, Cham.

    57. H. Tian, T. Li, X.-L. Lyu and W.-W. Lin, Band Structure Calculations of Three-dimensional Anisotropic Photonic Crystals in the Oblique Coordinate System, SIAM Journal on Scientific Computing, 2023, 45(4), B440--B466.

    56. J.-W. Lin, T. Li, W.-W. Lin and T.-M. Huang, Ellipsoidal Conformal and Area-/Volume-Preserving Parameterizations and Associated Optimal Mass Transportations, Advances in Computational Mathematics, 2023, 49, 50.

    55. Q. Liu, T. Li and S. Zhang, A Mixed Element Scheme for the Helmholtz Transmission Eigenvalue Problem for Anisotropic Media, Inverse Problems, 2023, 39, 055005.

    54. W.-W. Lin, T. Li, T.-M. Huang, J.-W. Lin, M.-H. Yueh and S.-T. Yau, A Two-Phase Optimal Mass Transportation Technique for 3D Brain Tumor Detection and Segmentation, In: Crimi, A., Bakas, S. (eds) Brainlesion: Glioma, Multiple Sclerosis, Stroke and Traumatic Brain Injuries. BrainLes 2021. Lecture Notes in Computer Science, 2022, 12962, 400--409, Springer, Cham.

    53. W.-W. Lin, J.-W. Lin, T.-M. Huang, T. Li, M.-H. Yueh and S.-T. Yau, A Novel 2-Phase Residual U-Net Algorithm Combined with Optimal Mass Transportation for 3D Brain Tumor Detection and Segmentation, Scientific Reports, 2022, 12, 6452.

    52.T. Li, P.-S. Chuang and M.-H. Yueh, An Optimal Transportation-Based Recognition Algorithm for 3D Facial Expressions, Annals of Mathematical Sciences and Applications, 2022, 7(1), 49--96.

    51. X.-L. Lyu, T. Li, J.-W. Lin, T.-M. Huang, W.-W. Lin and H. Tian, Solving Maxwell Eigenvalue Problems for Three Dimensional Isotropic Photonic Crystals with Fourteen Bravais Lattices, Journal of Computational and Applied Mathematics, 2022, 410, 114220.

    50. X. Liang, Z.-C. Guo, T.-M. Huang, T. Li and W.-W. Lin, Bifurcation Analysis of the Eigenstructure of the Discrete Single-Curl Operator in Three-Dimensional Maxwell's Equations with Pasteur Media, IMA Journal of Numerical Analysis, 2022, 42(4), 3735--3770.

    49. W.-W. Lin, C. Juang, M.-H. Yueh, T.-M. Huang, T. Li, S. Wang and S.-T. Yau,3D Brain Tumor Segmentation Using a Two-Stage Optimal Mass Transport Algorithm, Scientific Reports, 2021, 11, 14686.

    48. M.-H. Yueh, T.-M. Huang, T. Li, W.-W. Lin and S.-T. Yau, Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems, Journal of Scientific Computing, 2021, 88(3), 64.

    47.W.-C. Chang,T. Li, W.-W. Lin and J.-N. Wang, Computation of the Interior Transmission Eigenvalues for Elastic Scattering in an Inhomogeneous Medium Containing an Obstacle, Research in the Mathematical Sciences, 2021, 8(3), 49.

    46.H. Tian, X.-L. Lyu andT. Li, A Structure-Preserving Method for Solving the Complex ⊤-Hamiltonian Eigenvalue Problem, Annals of Mathematical Sciences and Applications, 2021, 6(2), 199--224.

    45.T. Li, W.-W. Lin, Y. Wang and S.-T. Yau, Intermittent Behaviors in Coupled Piecewise Expanding Map Lattices, Analysis in Theory and Applications, 2021, 37(4), 481--519.

    44. X.-L. Lyu, T. Li, T.-M. Huang, J.-W. Lin, W.-W. Lin and S. Wang, FAME: Fast Algorithms for Maxwell's Equations for Three-Dimensional Photonic Crystals, ACM Transactions on Mathematical Software, 2021,47(3), 26.

    43. X.-L. Lyu, T. Li, T.-M. Huang, W.-W. Lin and H. Tian, The Bi-Lebedev Scheme for the Maxwell Eigenvalue Problem with 3D Bi-Anisotropic Complex Media, Computer Physics Communications,2021, 261, 107769.

    42. X.-L. Lyu, T. Li and E.K.-W. Chu, Solving Large-Scale Discrete-Time Algebraic Riccati Equations by Doubling, Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020, 4507--4512.

    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.

    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--2895.

    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.

    38. M.-H. Yueh, H.-H. Huang, T. Li, W.-W. Lin, and S.-T. Yau, Optimized Surface Parameterizations with Applications to Chinese Virtual Broadcasting, Electronic Transactions on Numerical Analysis, 2020, 53, 383--405.

    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.

    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．

    35. M.-H. Yueh, T. Li, W.-W. Lin and S.-T. Yau, A Novel Algorithm for Volume-Preserving Parameterizations of 3-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, 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 and T. 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. 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.

    24. T. Li, E.K.-W. Chu, Y-C. Kuo and W.-W. Lin, Solving Large-Scale Nonsymmetric Algebraic Riccati Equations by Doubling, SIAM Journalon Matrix Analysis and Applications, 2013, 34(3), 1129--1147.

    23. T. Li, P.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 P.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.-Q. Huang, T. Li, Y.-T. Li and W.-W. Lin, A Semiorthogonal 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 and J. Ni, Recovery of Bacillus Thuringiensis Based Biopesticides from Fermented Sludge by Cross-flowMicrofiltration, 

    Desalination and Water Treatment, 2012, 43, 17--28.  

    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.

    16. T. Li and T.-F. Wu, Existence of Multiple Positive Solutions forNonhomogeneous 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 P.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. 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.

    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.

    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 Nonsymmetric Algebraic Riccati Equation from a One-Dimensional Multistate 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 Problem A*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. 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.

    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--365.

    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. 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.

    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--1825.

    2. T. Li and E.K.-W. Chu, A Schur-Newton Algorithm for Robust Pole Assignment, Taiwanese Journal of Mathematics, 2007, 11(5), 1485--1502.

    1. T. Li and M. Wei, Generalization of the Frobenius Metric (Chinese), Journal of East China Normal University (Natural Sciences), 2005, 3, 6--11.


  •   

    声子晶体特征值问题的高效计算及分析, 12371377

    		2024.01-2027.12主持国家自然科学基金--面上项目国家自然科学基金委

    光子晶体中的特征值问题的快速算法及应用，11971105

    2020.01-2023.12

    主持

    国家自然科学基金--面上项目

    国家自然科学基金委

    基于人工智能的投诉与缴费预警技术研究

    2018.01-2018.12

    主持

    横向课题

    国网扬州供电公司

    基于电磁场传播的特征值问题的计算及应用研究，11471074

    2015.01-2018.12

    主持

    国家自然科学基金--面上项目

    国家自然科学基金委

    江苏省“青蓝工程”－中青年学术带头人

    2014.06-2017.06

    主持

    江苏省“青蓝工程”--中青年学术带头人

    江苏省教育厅

    东南大学优秀青年教师科学研究资助项目

    2013.01-2015.12

    主持

    东南大学优秀青年教师研究资助项目

    东南大学

    纳米研究中一类非线性矩阵方程的保结构算法，2013T60481

    2013.07-2014.12

    主持

    中国博士后--特别资助

    中国博士后基金委

    回文式特征值问题的保结构算法研究，11101080

    2012.01-2014.12

    主持

    国家自然科学--青年基金项目

    国家自然科学基金委

    带结构的特征值问题的保结构算法研究及应用，20110092120023

    2012.01-2014.12

    主持

    教育部博士点基金--新教师类

    教育部

    高速火车振动分析问题中的保结构算法研究

    2011.01-2012.12

    主持

    东南大学资助计划--创新基金项目

    东南大学

    一类非线性矩阵方程的保辛结构算法研究

    2012M520965

    2012.10-2014.11

    主持

    中国博士后--面上资助项目

    中国博士后基金委

    纳米技术中保结构算法的研究和应用

    2011.09-2013.09

    主持

    江苏省博士后--面上项目

    江苏省人力资源和社会保障厅

      

    获奖与荣誉：


    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 2021年获得华夏建设科学技术奖一等奖（排名5）

    2013年获江苏省科学技术奖三等奖（排名5）

    2014年被推荐为江苏省“青蓝工程”中青年学术带头人候选人

    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”

    2020年获得第三届江苏省工业与应用数学学会工业与应用数学青年奖

    2021年获得华夏建设科学技术奖一等奖（排名5）

      


    已毕业学生：

    1.  2017 年周欣

    2.  2019 年周滢滢

    3.  2020 年谢晓慧, 刘瑞，王露瑶

    4.  2021 年 谭忠恒，王瀚， 张寒苏（博士）

    5.  2022 年，诸葛晓婷，林青，吕星龙（博士）

    6.  2023 年，徐睿璇，刘新宇




      

      

      

      


  • 1. 江苏省数学学会计算数学分会理事会理事

    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

    4. 不确定性系统分析与仿真专业委员会委员

    5. 上海数学与交叉学科研究院访问学者