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Publications

• 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 J. Sci. Comput. Vol. 45, No. 4, B440-B446, 2023.

• 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, J. Comput. Appl. Math., Vol. 410, (2022), 114220.

• X. Liang, Z. 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 J. Numer. Anal., (2021), 1-36. 

• 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 Trans. Math. Software, Vol. 47, No. 3, (2021), 1-24.

• 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, Comp. Phys. Commun., Vol. 261, (2021), 107769.

• 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, J. Sci. Comput., Vol. 83, No. 35, (2020).

• T.-M. Huang, W.-W. Lin, H. Tsai, and W. Wang, Highly Efficient GPU Eigensolver for Three-Dimensional Photonic Crystal Band Structures with Any Bravais Lattice, Comp. Phys. Commun.,  Vol. 245, (2019), 106841 .

• 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, J. Comp. Phys. Vol 386, (2019) 611-631.

• T.-M. Huang, T. Li, R.-L. Chern and W.-W. Lin, Electromagetic Field Behavior of 3D Maxwell's Equation for Chiral Media, J. Comp. Phys. Vol 379, (2019) 118-131.

• T.-M. Huang, W.-W. Lin and W. Wang, A Hybrid Jacobi-Davidson Method for Interior Cluster Eigenvalues with Large Null-Space in Three Dimensional Lossless Drude Dispersive Metallic Photonic Crystals, Comput. Phys. Commun., Vol. 207, 221-231, 2016.

• T.-M. Huang, W.-W. Lin and V. Mehrmann, A Newton-Type Method with Non-equivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling, SIAM J. Sci. Comput. Vol. 38, No. 2, B191-B218, 2016.

• T.-M. Huang, W.-Q. Huang and W.-W. Lin, A Robust Numerical Algorithm for Computing Maxwell's Transmission Eigenvalue Problems, SIAM Sci. Comp., Vol. 37, No. 5 (2015), A2403-2423. 

• R.-L. Chern, H.-E. Hsieh, T.-M. Huang, W.-W. Lin, and W. Wang, Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell's Equations for Complex Media, SIAM J. Matrix Anal. Appl., Vol. 36,  pp. 203--224, 2015. 

• Y.-L. Huang, T.-M. Huang, W.-W. Lin and W.-C. Wang, A Null Space Free Jacobi-Davidson Iteration for Maxwell's Operator, SIAM Sci. Comp., Vol. 37, No. 1 (2015), A1-A29. 

• T.-M. Huang, H.-E. Hsieh, W.-W. Lin and W. Wang, Eigenvalue Solvers for Three Dimensional Photonic Crystals with Face-Centered Cubic Lattices,  Journal of Computational and Applied Mathematics, Vol. 272, 350-361, 2014.

• T.-M. Huang, H.-E. Hsieh, W.-W. Lin, and W. Wang, Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three Dimensional Photonic Crystals, SIAM J. Matrix Anal. Appl., Vol. 34, pp. 369--391, 2013.

• T.-M. Huang, Y.-C. Kuo and W. Wang, Computing extremal eigenvalues for three-dimensional photonic crystals with wave vectors near the Brillouin zone center, J. Sci. Comput., Vol. 55, 529-551, 2013

• T.-M. Huang, H.-E. Hsieh, W.-W. Lin and W. Wang, Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three Dimensional Photonic Crystals, SIAM Matrix Anal. Appl., Vol. 34, No. 2 (2013), 369-391. 

• T.-M. Huang, H.-E. Hsieh, W.-W. Lin and W. Wang, Matrix Representation of the Double-Curl Operator for Simulating Three Dimensional Photonic Crystals, Mathematical and Computer Modelling, Vol. 58, 379-392, 2013.

• T.-M. Huang, W.-J. Chang, Y.-L. Huang, W.-W. Lin, W.-C. Wang and W. Wang, Preconditioning Bandgap Eigenvalue Problems in Three-Dimensional Photonic Crystals Simulations, J. Comp. Physics, Vol. 229, No. 23 (2010), 8684-8703.