Publications
Tsung-Ming Huang, Wei-Hung Liao and Wen-Wei Lin, Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Spherical Equiareal Parameterization, Journal of Numerical Mathematics, 32:1-25, 2024, https://doi.org/10.1515/jnma-2022-0072.
Wei-Hung Liao, Tsung-Ming Huang, Wen-Wei Lin, and Mei-Heng Yueh, Convergence of Dirichlet Energy Minimization for Spherical Conformal Parameterizations, Journal of Scientific Computing, 98:29, 2024, https://doi.org/10.1007/s10915-023-02424-x.
Tsung-Ming Huang, Yueh-Cheng Kuo, Wen-Wei Lin, and Shih-Feng Shieh, Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations, SIAM J. Matrix Anal. Appl., Vol. 45, pp. 59-83, 2024.
Tsung-Ming Huang, Wei-Hung Liao, Wen-Wei Lin, Mei-Heng Yueh, and Shing-Tung Yau, Convergence Analysis of Volumetric Stretch Energy Minimization and ItsAssociated Optimal Mass Transport, SIAM J. IMAGING SCIENCES, Vol. 16, 1825-1855, 2023.
Jia-Wei Lin, Tiexiang Li, Wen-Wei Lin, and Tsung-Ming Huang, Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations, Advances in Computational Mathematics, 49:50, 2023, https://doi.org/10.1007/s10444-023-10048-w.
Wen-Wei Lin, Jia-Wei Lin, Tsung-Ming Huang, Tiexiang Li, Mei-Heng Yueh, and Shing-Tung Yau, A novel 2-phase residual U-net algorithm combined with optimal mass transportation for 3D brain tumor detection and segmentation, Scientific Reports, 12, 6452, 2022, https://doi.org/10.1038/s41598-022-10285-x
Xing-Long Lyu, Tiexiang Li, Jia-Wei Lin, Tsung-Ming Huang, Wen-Wei Lin, and Heng Tian, Solving Maxwell Eigenvalue Problems for Three Dimensional Isotropic Photonic Crystals with Fourteen Bravais Lattices, Journal of Computational and Applied Mathematics, 410, 114220, 2022.
Xin Liang, Zhen-Chen Guo, Tsung-Ming Huang, Tiexiang Li, and Wen-Wei 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, https://doi.org/10.1093/imanum/drab081
Wen-Wei Lin, Cheng Juang, Mei-Heng Yueh, Tsung-Ming Huang, Tiexiang Li, Sheng Wang, and Shing-Tung Yau, 3D Brain Tumor Segmentation Using a Two-Stage Optimal Mass Transport Algorithm, Scientific Reports, 11, 14686, 2021.
Mei-Heng Yueh, Tsung-Ming Huang, Tiexiang Li, Wen-Wei Lin, and Shing-Tung Yau, Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems, Journal of Scientific Computing, Vol. 88, 64, 2021.
Xing-Long Lyu, Tiexiang Li, Tsung-Ming Huang, Jia-Wei Lin, Wen-Wei Lin, and Sheng Wang, FAME: fast algorithms for Maxwell's equations for three-dimensional photonic crystals, ACM Trans. Math. Softw. 47, 3, Article 26 (June), 2021.
Tsung-Ming Huang, Weichien Liao, Wen-Wei Lin, and Weichung Wang, An efficient contour integral based eigensolver for 3D dispersive photonic crystal, Journal of Computational and Applied Mathematics, Vol. 395, 113581, 2021.
Xing-Long Lyu, Tiexiang Li, Tsung-Ming Huang, Wen-Wei Lin, and Heng Tian, The bi-Lebedev scheme for the Maxwell eigenvalue problem with 3D bi-anisotropic complex media, Comput. Phys. Commun., Vol. 261, 107769, 2021.
Tsung-Ming Huang, Tiexiang Li, Jia-Wei Lin, Wen-Wei Lin, and Heng Tian, Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals, Journal of Scientific Computing, Vol. 83, 35, 2020.
Tsung-Ming Huang, Wen-Wei Lin, Hsinhan Tsai, and Weichung Wang, Highly efficient GPU eigensolver for three-dimensional photonic crystal band structures with any Bravais lattice, Comput. Phys. Commun., Vol. 245, 106841, 2019.
So-Hsiang Chou, Tsung-Ming Huang, Tiexiang Li, Jia-Wei Lin, and Wen-Wei Lin, A Finite Element Based Fast Eigensolver for Three Dimensional Anisotropic Photonic Crystals, J. Comp. Phys., Vol. 386, 611-631, 2019.
Tsung-Ming Huang, Tiexiang Li, Ruey-Lin Chern, and Wen-Wei Lin, Electromagetic Field Behavior of 3D Maxwell's Equation for Chiral Media, J. Comp. Phys., Vol. 379, 118-131, 2019.
Tiexiang Li, Tsung-Ming Huang, Wen-Wei Lin, and Jenn-Nan 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, Vol. 12, 1033-1054, 2018, doi: 10.3934/ipi.2018043.
Tsung-Ming Huang, Wen-Wei Lin, Heng Tian, and Guan-Hua Chen, Computing the Full Spectrum of Large Sparse Palindromic Quadratic Eigenvalue Problems arising from Surface Green's Function calculations, Journal of Computational Physics, Vol. 356, 340-355, 2018.
Tiexiang Li, Tsung-Ming Huang, Wen-Wei Lin, and Jenn-Nan Wang, An efficient numerical algorithm for computing densely distributed positive interior transmission eigenvalues, Inv. Prob., Vol. 33, 035009, 2017.
Tsung-Ming Huang, Wen-Wei Lin, and Weichung 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.
Tsung-Ming Huang, Wen-Wei Lin, and Volker Mehrmann, A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling, SIAM J. Sci. Comput. Vol. 38, No. 2, B191-B218, 2016.
Tsung-Ming Huang, Wei-Qiang Huang, Ren-Cang Li and Wen-Wei Lin, A new two-phase structure-preserving doubling algorithm for critically singular M-matrix algebraic Riccati equations, Numerical Linear Algebra with Applications, Vol. 23, 291-313, 2016, DOI:10.1002/nla.2025.
I.-K. Liu, R. W. Pattinson, T. P. Billam, S. A. Gardiner, S. L. Cornish, T.-M. Huang, W.-W. Lin, S.-C. Gou, N. G. Parker, and N. P. Proukakis, Stochastic growth dynamics and composite defects in quenched immiscible binary condensates, Physical Review A, Vol. 93, 023628, 2016.
Tsung-Ming Huang, Wei-Qiang Huang and Wen-Wei Lin, A robust numerical algorithm for computing Maxwell's transmission eigenvalue problems, SIAM J. Sci. Comput. Vol. 37, No. 5, A2403-A2423, 2015.
Ruey-Lin Chern, Han-En Hsieh, Tsung-Ming Huang, Wen-Wei Lin, and Weichung Wang, Singular value decompositions for singular-curl operators in three-dimensional Maxwell's equations for complex media, SIAM J. Matrix Anal. Appl., Vol. 36, No. 1, 203-224, 2015.
Yin-Liang Huang, Tsung-Ming Huang, Wen-Wei Lin, and Wei-Cheng Wang, A null space free Jacobi-Davidson iteration for Maxwell's operator, SIAM J. Sci. Comput., Vol. 37, No. 1, A1-A29, 2015.
Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin, and Weichung Wang, Eigenvalue solvers for three dimensional photonic crystals with face-centered cubic lattice, Journal of Computational and Applied Mathematics, Vol. 272, 350-361, 2014.
Wei-Qiang Huang, Xianfeng David Gu, Tsung-Ming Huang, Song-Sun Lin, Wen-Wei Lin, and Shing-Tung Yau, High performance computing for spherical conformal and Riemann mappings, Geometry, Imaging and Computing, Vol. 1, 223-258, 2014.
Tsung-Ming Huang, Zhongxiao Jia, and Wen-Wei Lin, On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems, BIT, Vol. 53, 941-958, 2013.
Tsung-Ming Huang, Wen-Wei Lin, and Chin-Tien Wu, Structure-preserving Arnoldi-type algorithm for solving eigenvalue problems in Leaky surface wave propagation, Applied Mathematics, and Computation, Vol. 219, 9947-9958, 2013.
Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin, and Weichung 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, 369-391, 2013
Tsung-Ming Huang, Yueh-Cheng Kuo and Weichung 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
Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin, and Weichung Wang, Matrix representation of the double-curl operator for simulating three dimensional photonic crystals, Mathematical and Computer Modelling, Vol. 58, 379-392, 2013.
Tsung-Ming Huang, Tiexiang Li, Wen-Wei Lin, and Chin-Tien Wu, Numerical studies on structure-preserving algorithms for surface acoustic wave simulations, Journal of Computational and Applied Mathematics, Vol. 244, pp. 140-154, 2013.
Tsung-Ming Huang, Wen-Wei Lin, and Wei-Shuo Su, Palindromic quadratization and structure-preserving algorithm for palindromic matrix polynomials of even degree, Numerische Mathematik, Vol. 118, pp. 713-735, 2011.
So-Hsiang Chou, Tsung-Ming Huang, Wei-Qiang Huang, and Wen-Wei Lin, Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems, Journal of Computational Physics, Vol. 230, pp. 2189-2206, 2011.
Tsung-Ming Huang, Feng-Nan Hwang, Sheng-Hong Lai, Weichung Wang and Zih-Hao Wei, A parallel polynomial Jacobi-Davidson approach for dissipative acoustic eigenvalue problems, Computers & Fluids, Vol. 45, 207-214, 2011.
Zih-Hao Wei, Feng-Han Hwang, Tsung-Ming Huang, and Weichung Wang, A parallel scalable PETSc-Based Jacobi-Davidson polynomial eigensolver with application in quantum dot simulation, Lecture Notes in Computational Science and Engineering, Vol. 78, pp.157-164, 2011.
Tsung-Ming Huang, Wei-Jen Chang, Yin-Liang Huang, Wen-Wei Lin, Wei-Cheng Wang, and Weichung Wang, Preconditioning bandgap eigenvalue problems in three dimensional photonic crystals simulations, Journal of Computational Physics, Vol. 229, pp. 8684-8703, 2010.
Tsung-Ming Huang, Weichung Wang and Chang-Tse Lee, An efficiency study of polynomial eigenvalue problem solvers for quantum dot simulations, Taiwanese Journal of Mathematics, Vol. 14, No. 3A, pp. 999-1021, 2010.
Eric King-wash Chu, Tsung-Ming Huang, Wen-Wei Lin, and Chin-Tien Wu, Palindromic Eigenvalue problems: a Brief Survey, Taiwanese Journal of Mathematics, Vol. 14, No. 3A, pp. 743-779, 2010.
Feng-Nan Hwang, Zih-Hao Wei, Tsung-Ming Huang, and Weichung Wang, A Parallel Additive Schwarz Preconditioned Jacobi-Davidson Algorithm for Polynomial Eigenvalue Problems in Quantum Dot Simulation, Journal of Computational Physics, Vol. 229, pp. 2932-2947, 2010.
Chun-Yueh Chiang, Eric King-Wah Chu, Chun-Hua Guo, Tsung-Ming Huang, Wen-Wei Lin, and Shu-Fang Xu, Convergence analysis of the doubling algorithm for several nonlinear matrix equations in the critical case, SIAM J. Matrix Anal. Appl., Vol. 31, pp. 227-247, 2009.
Tsung-Ming Huang, Wen-Wei Lin, and Jiang Qian, Structure-preserving algorithms for palindromic quadratic eigenvalue problems arising from vibration on fast trains, SIAM J. Matrix Anal. Appl., Vol. 30, pp. 1566-1592, 2009.
Tsung-Ming Huang and Wen-Wei Lin, Structured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equations, Lin. Alg. Appl., Vol. 430, pp. 1452-1478, 2009.
Eric King-wah Chu, Tsung-Min Hwang, Wen-Wei Lin, and Chin-Tien Wu, Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms, Journal of Computational and Applied Mathematics, Vol. 219, 237-252, 2008.
Tsung-Min Hwang, Wei-Hua Wang and Weichung Wang, Efficient numerical schemes for electronic states in coupled quantum dots, Journal of Nanoscience and Nanotechnology, Vol. 8, No. 7, 3695-3709, 2008.
Tsung-Min Hwang, Wei-Cheng Wang, and Weichung Wang, Numerical schemes for three dimensional irregular shape quantum dots over curvilinear coordinate systems, Journal of Computational Physics, Vol. 226, 754-773, 2007.
Weichung Wang, Tsung-Min Hwang and Jia-Chuan Jang, A second-order finite volume scheme for three dimensional truncated pyramidal quantum dot, Computer Physics Communications, Vol. 174, pp. 371-385, 2006.
Tsung-Min Hwang, E. K.-W. Chu and W.-W. Lin, A generalized structure-preserving doubling algorithm for generalized discrete-time algebraic Riccati equations, International Journal of Control, Vol. 78, pp. 1063-1075, 2005.
Tsung-Min Hwang, Wen-Wei Lin, Jinn-Liang Liu, and Weichung Wang, Jacobi-Davidson methods for cubic eigenvalue problems, Numerical Linear Algebra with Applications, Vol. 12, pp. 585-682, 2005.
Tsung-Min Hwang and Weichung Wang, Energy states of vertically aligned quantum dot array with nonparabolic effective mass, Computers and Mathematics with Applications, Vol. 49, pp. 39-51, 2005.
Tsung-Min Hwang, Wen-Wei Lin, Jinn-Liang Liu, and Weichung Wang, Fixed point methods for a semiconductor quantum dot model, Mathematical and Computer Modelling, Vol 40, pp. 519-533, 2004.
Tsung-Min Hwang, Wen-Wei Lin, Wei-Cheng Wang and Weichung Wang, Numerical simulation of three dimensional pyramid quantum dot, Journal of Computational Physics, Vol 196, pp. 208-232, 2004.
C. Juang, S.T. Huang, C.Y. Liu, W.C. Wang, T.M. Hwang, J. Juang, and W.W. Lin, Sub-carrier Multiplexing by Chaotic Multi-Tone Modulation, IEEE J. Quantum Electron. Vol. 39, No. 10, pp.1321-1326, 2003.
Weichung Wang, Tsung-Min Hwang, Wen-Wei Lin, and Jinn-Liang Liu, Numerical methods for semiconductor heterostructures with band nonparabolicity, Journal of Computational Physics, Vol.190, pp. 141-158, 2003.
Tsung-Min Hwang, Wen-Wei Lin, and Volker Mehrmann, Numerical solution of quadratic eigenvalue problems with structure preserving methods, SIAM J. Sci. Comput. Vol. 24, No. 4, pp. 1283-1302, 2003.
Tsung-Min Hwang and Weichung Wang, Analyzing and Visualizing A Discretized Semilinear Elliptic Problem with Neumann Boundary Conditions, Numerical Methods for Partial Differential Equations, Vol. 18, pp 261-279, 2002.
W. Wang, T.-M. Hwang, C. Juang, J. Juang, C.-Y. Liu and W.-W. Lin, Chaotic behaviors of bistable laser diodes and its application in synchronization of optical communication, Japanese Journal of Applied Physics, Part I, Vol. 40, No.10, pp. 5914-5919, 2001.
S.-T. Huang, T.-M. Hwang, C. Juang, J. Juang and W.-W. Lin, FM Detection from an Optical Chaotic Carrier, Japanese Journal of Applied Physics, Part I, Vol. 40, No. 7, pp. 4549-4551, 2001.
C. Juang, C.-C. Huang, T.-M. Hwang, J. Juang and W.-W. Lin, Optoelectronic Delayed-feedback and Chaos in Quantum-well Laser Diodes, Optics Communications, Vol. 192, pp. 77-81, 2001.
Jong-Sheng Guo and Tsung-Min Hwang, On the Steady States of a Nonlocal Semilinear Heat Equation, Dynamics of Continuous, Discrete and Impulsive Systems Ser. A Math. Anal., Vol. 8, No. 1, pp. 53-68, 2001.
C. Juang, T.-M. Hwang, J. Juang, and W.W. Lin, Optical chaotic AM demodulation by asymptotic synchronization, IEEE Photonics Technology Letters, Vol. 12, pp. 179-181, 2000.
C. Juang, T.-M. Hwang, J. Juang, and W.W. Lin, Synchronization scheme using self-pulsating laser diodes in optical chaotic communication, IEEE J. Quantum Electron., Vol. 36, No. 3, pp. 300-304, 2000.
T.-M. Hwang, W.-W. Lin and D. Pierce, Improved Bound for Rank Revealing LU Factorizations, Lin. Alg. Appl., Vol.261, pp. 173-186, 1997.
T.-M. Hwang, C.-H. LIn, W.-W. Lin and S.-C. Fang, A Relaxed Primal-Dual Path Following Algorithm for Linear Programming, Annals of Operations Research, 62, pp.173-196, 1996.
T.-M. Hwang, C.-H. Lin, W.-W. Lin and S.-C. Fang, A Relaxed Primal-Dual Interior Path Following Algorithm for Convex Quadratic Programming, Mathematics Today, Vol. XII-A, pp.115-144, 1994.
T.-M. Hwang, W.-W. Lin and E.K. Yang, Rank Revealing LU factorizations, Lin. Alg. Appl., Vol.175, pp.115-141, 1992.