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Li,Tiexiang
Professor
Mathematics
Computational Mathematics Department
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txli@seu.edu.cn
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  • Li, Tiexiang is a professor of mathematics at Southeast University. She receives her Bachelor’s degree in Mathematics from East China Normal University in 2003 and then Ph.D. degree in Mathematics from Peking University in 2008. As an visiting Professor, she is invited to visit the universities in TaiWan and Germany many times. She is elected as the academic leader for young researchers of QingLan Project Jiangsu province in 2014.
    2019--, School of Mathematics, Southeast University, Professor. 2012--2019, School of Mathematics, Southeast University, Associate Professor. 2009--2010, Department of Applied Mathematics, Taiwan National Chiao-Tung University (Taiwan), Postdoctoral. 2008--2011, Department of Mathematics, Southeast University, Assistant Professor.
    B.S., East China Normal University, China, 1999-2003 Ph.D., Peking University, China, 2003-2008
  • 53. W.-W. Lin, J.-W. Jia, 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.

    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. Jia, 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, 2021,  drab081.

    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(1), 14868.

    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 ProblemsJournal 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 ObstacleResearch 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), 1--26.

    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, 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), 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.

    31T. 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 and 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.

     



  • **

    2019.03-2021.3

    主持

    创新专区项目

    **

    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

    装备预研项目

    **

    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”