【李铁香导师】招生“数学学院”研究生介绍
李铁香
教授
硕，博士生导师
女
数学学院
数学
,应用统计
计算数学,数据科学
txli@seu.edu.cn
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 SIIMS、SIMAX、ACM TOMA、CPC、JDE、JCP、JSC、Inverse Problems、Scientific Reports等国际学术刊物发表学术论文40余篇，主持三项国家自然科学基金项目、主持一项国防创新特区项目和一项装备预研项目、主持完成多项省部级项目和横向课题。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。
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科研项目
研究成果
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, 11(1), 14686, 2021.
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, 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, T. Li and X.L. Lyu, A Structure-Preserving Method for Solving the Complex ⊤-Hamiltonian Eigenvalue Problem, Annals of Mathematical Sciences and Applications, 2021, 6(2), 1--26.
45.T. Li, W.W. Lin, Y. Wang and S.T. Yau, Intermittent Behaviors in Coupled Piecewise 3 Expanding Map Lattices, Analysis in Theory and Applications, 2021, 37, 1--39.
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), 1--24.
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, 261, 2021, 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--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 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(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.
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