李铁香 - 东南大学

个人简介

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。 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 2019.03-2021.3 主持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 2016.01-2018.12 主持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 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” 已毕业学生： 1. 2017 年周欣, 东南大学数学学院 2. 2019 年周滢滢, 昆山震川高级中学 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

近期论文

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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--895. 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 on 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 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 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 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 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 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. 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 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 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--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. 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--1826. 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. 1. T. Li and M. Wei, Generalization of the Frobenius Metric (Chinese), Journal of East China Normal University (Natural Sciences), 2005, 3, 6--11.

学术兼职

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