吕星龙 xllyu@njnu.edu.cn
讲师，安徽滁州人，主要研究方向为数值代数。
教育经历
2016.09-2022.07 东南大学数学学院，博士
2012.09-2016.07 东南大学数学系，学士
工作经历
2025.11-至今 南京师范大学数学科学学院，讲师
2022.10-2025.10 东南大学，博士后
2022.07-2022.09 南京应用数学中心，访问学者
研究方向
数值代数、科学计算、偏微分方程数值解。
学术科研成果
科研项目：
1. 国家自然科学基金委员会青年基金项目，光子准晶中特征值问题的高效算法研究，30万元，2026.01-2028.12，主持
2. 江苏省基础研究计划青年基金项目，光子晶体中的特征值问题研究，30万元，2025.09-2028.09，主持
代表性论文：
8. T. Li, X.-L. Lyu, R.-C. Li and W.-W. Lin, A Novel Structure-Preserving Algorithm with Green's Function Approach for Computing Band Structures of Photonic Quasicrystals, Communications in Computational Physics, accepted.
7. 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.
6. 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, 2024, 46(6), B925—B952.
5. 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.
4. 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.
3. 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.
2. 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--26.
1. 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.
