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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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
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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
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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T.-M. Hwang, W.-W. Lin and E.K. Yang, Rank Revealing LU factorizations, Lin. Alg. Appl., Vol.175, pp.115-141, 1992.
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