
访问学者
Email: txli _at_ seu.edu.cn
研究领域:矩阵计算,保度计算几何,数据科学,图像处理
办公室:
简历
李铁香,东南大学教授,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,2008年获得北京大学理学博士学位。
李教授的研究兴趣主要包括大规模矩阵计算、电磁计算、保度计算几何、数据科学、反问题、图像处理等,已经在SIAM J. Sci. Comput.、SIAM J. Matrix Anal.Appl.、SIAM J. Imaging Sci.、J. Comput. Phys.、Inverse Probl.、J. Differ. Equ.、ACM T. Math. Software、Comput. Phys. Commun.、J. Sci. Comput.等期刊发表学术论文60余篇。
教育经历
- 2003.9 – 2008.1 Peking University Mathematics Doctor
- 1999.9 – 2003.7 East China Normal University Mathematics B.S.
工作经历
- 2019.4 – 东南大学 教授
- 2012.4 – 2019.4 东南大学 副教授
- 2008.4 – 2012.4. 东南大学 助理教授
- 2009.2 – 2010.1 Taiwan Yang Ming Chiao Tung University Postdoctoral
荣誉和获奖
- 2021年获得华夏建设科学技术奖一等奖(排名5)
- 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
- 2019年“世界华人数学家联盟最佳论文奖-若琳奖”
- 2017年“世界华人数学家联盟最佳论文奖-若琳奖”
- 2014年被推荐为江苏省“青蓝工程”中青年学术带头人候选人
- 2012年获江苏省科学技术奖三等奖(排名5)
论著
- 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, accepted.
- 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, accepted.
- H. Liu, Z. Li, K. Huang, Rui Wang, G. Cheng and T. Li, Evolutionary Reinforcement Learning Algorithm for Large‑scale Multi‑agent Cooperation and Confrontation Applications, The Journal of Supercomputing, 2023.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- H. Tian, X.-L. Lyu and T. Li, A Structure-Preserving Method for Solving the Complex ⊤-Hamiltonian Eigenvalue Problem, Annals of Mathematical Sciences and Applications, 2021, 6(2), 199–224.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- X. Zhou and T. Li, Numerical Solution of Transmission Eigenvalue Problems of Helmholtz Equation. Advances in Applied Mathematics, 2016, 5(4), 683–694.
- 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.
- 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.
- 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.
- T. Li, E.K.-W. Chu, Y-C. Kuo and W.-W. Lin, Solving Large-Scale Nonsymmetric Algebraic Riccati Equations by Doubling, SIAM Journal on Matrix Analysis and Applications, 2013, 34(3), 1129–1147.
- 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.
- 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.
- 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.
- 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.
- 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.
- M. Chang, S. Zhou, Q. Sun, T. Li and J. Ni, Recovery of Bacillus Thuringiensis Based Biopesticides from Fermented Sludge by Cross-flow Microfiltration, Desalination and Water Treatment, 2012, 43, 17–28.
- X. Yin, S. Liu and T. Li, On Positive Definite Solutions of the Matrix Equation X+AX^(−q)A=Q(0 < q <= 1), Taiwanese Journal of Mathematics, 2012, 16(4), 1391–1407. 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. 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. 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. 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. 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. 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. T. Li, C.-Y. Chiang, E.K.-W. Chu and W.-W. Lin, The Palindromic Generalized Eigenvalue Problem Ax=\lambda Ax: Numerical Solution and Applications, Linear Algebra and its Applications, 2011, 434, 2269–2284.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- T. Li and E.K.-W. Chu, A Schur-Newton Algorithm for Robust Pole Assignment, Taiwanese Journal of Mathematics, 2007, 11(5), 1485–1502.
- T. Li and M. Wei, Generalization of the Frobenius Metric (Chinese), Journal of East China Normal University (Natural Sciences), 2005, 3, 6–11.