• 600 Citations
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1992 …2020

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Article
2020

Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals

Huang, T. M., Li, T., Lin, J. W., Lin, W. W. & Tian, H., 2020 May 1, In : Journal of Scientific Computing. 83, 2, 35.

Research output: Contribution to journalArticle

2019

A finite element based fast eigensolver for three dimensional anisotropic photonic crystals

Chou, S. H., Huang, T. M., Li, T., Lin, J. W. & Lin, W. W., 2019 Jun 1, In : Journal of Computational Physics. 386, p. 611-631 21 p.

Research output: Contribution to journalArticle

Electromagnetic field behavior of 3D Maxwell's equations for chiral media

Huang, T. M., Li, T., Chern, R. L. & Lin, W. W., 2019 Feb 15, In : Journal of Computational Physics. 379, p. 118-131 14 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Highly efficient GPU eigensolver for three-dimensional photonic crystal band structures with any Bravais lattice

Huang, T. M., Lin, W. W., Tsai, H. & Wang, W., 2019 Dec, In : Computer Physics Communications. 245, 106841.

Research output: Contribution to journalArticle

2018

Computing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculations

Huang, T. M., Lin, W. W., Tian, H. & Chen, G. H., 2018 Mar 1, In : Journal of Computational Physics. 356, p. 340-355 16 p.

Research output: Contribution to journalArticle

On the transmission eigenvalue problem for the acoustic equation with a negative index of refraction and a practical numerical reconstruction method

Li, T., Huang, T. M., Lin, W. W. & Wang, J. N., 2018 Aug, In : Inverse Problems and Imaging. 12, 4, p. 1033-1054 22 p.

Research output: Contribution to journalArticle

Open Access
2 Citations (Scopus)
2017

An efficient numerical algorithm for computing densely distributed positive interior transmission eigenvalues

Li, T., Huang, T. M., Lin, W. W. & Wang, J. N., 2017 Feb 7, In : Inverse Problems. 33, 3, 035009.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Solving large-scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh–Ritz method

Xiao, J., Zhang, C., Huang, T. M. & Sakurai, T., 2017 May 25, In : International Journal for Numerical Methods in Engineering. 110, 8, p. 776-800 25 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
2016
5 Citations (Scopus)

A new two-phase structure-preserving doubling algorithm for critically singular M-matrix algebraic Riccati equations

Huang, T. M., Huang, W. Q., Li, R. C. & Lin, W. W., 2016 Mar 1, In : Numerical Linear Algebra with Applications. 23, 2, p. 291-313 23 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling

Huang, T. M., Lin, W. W. & Mehrmann, V., 2016 Jan 1, In : SIAM Journal on Scientific Computing. 38, 2, p. B191-B218

Research output: Contribution to journalArticle

4 Citations (Scopus)

Stochastic growth dynamics and composite defects in quenched immiscible binary condensates

Liu, I. K., Pattinson, R. W., Billam, T. P., Gardiner, S. A., Cornish, S. L., Huang, T. M., Lin, W. W., Gou, S. C., Parker, N. G. & Proukakis, N. P., 2016 Feb 18, In : Physical Review A. 93, 2, 023628.

Research output: Contribution to journalArticle

Open Access
20 Citations (Scopus)
2015

A null space free Jacobi-Davidson iteration for Maxwell's operator

Huang, Y. L., Huang, T. M., Lin, W. W. & Wang, W. C., 2015 Jan 1, In : SIAM Journal on Scientific Computing. 37, 1, p. A1-A29

Research output: Contribution to journalArticle

5 Citations (Scopus)

A robust numerical algorithm for computing Maxwell's transmission eigenvalue problems

Hwang, T-M., Huang, W. Q. & Lin, W. W., 2015 Jan 1, In : SIAM Journal on Scientific Computing. 37, 5, p. A2403-A2423

Research output: Contribution to journalArticle

8 Citations (Scopus)

Singular value decompositions for single-curl operators in three-dimensional Maxwell's equations for complex media

Chern, R. L., Hsieh, H. E., Huang, T. M., Lin, W. W. & Wang, W., 2015 Jan 1, In : SIAM Journal on Matrix Analysis and Applications. 36, 1, p. 203-224 22 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2014

Eigenvalue solvers for three dimensional photonic crystals with face-centered cubic lattice

Huang, T. M., Hsieh, H. E., Lin, W. W. & Wang, W., 2014 Dec 15, In : Journal of Computational and Applied Mathematics. 272, p. 350-361 12 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2013

Computing extremal eigenvalues for three-dimensional photonic crystals with wave vectors near the brillouin zone center

Huang, T. M., Kuo, Y. C. & Wang, W., 2013 Jan 1, In : Journal of Scientific Computing. 55, 3, p. 529-551 23 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
11 Citations (Scopus)

Matrix representation of the double-curl operator for simulating three dimensional photonic crystals

Huang, T. M., Hsieh, H. E., Lin, W. W. & Wang, W., 2013 Jul 1, In : Mathematical and Computer Modelling. 58, 1-2, p. 379-392 14 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Numerical studies on structure-preserving algorithms for surface acoustic wave simulations

Huang, T. M., Li, T., Lin, W. W. & Wu, C. T., 2013 Jan 7, In : Journal of Computational and Applied Mathematics. 244, 1, p. 140-154 15 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems

Huang, T. M., Jia, Z. & Lin, W. W., 2013 Dec 1, In : BIT Numerical Mathematics. 53, 4, p. 941-958 18 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Structure-preserving Arnoldi-type algorithm for solving eigenvalue problems in leaky surface wave propagation

Huang, T. M., Lin, W. W. & Wu, C. T., 2013 May 14, In : Applied Mathematics and Computation. 219, 19, p. 9947-9958 12 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2011

A parallel polynomial Jacobi-Davidson approach for dissipative acoustic eigenvalue problems

Hwang, T-M., Hwang, F. N., Lai, S. H., Wang, W. & Wei, Z. H., 2011 Jun 1, In : Computers and Fluids. 45, 1, p. 207-214 8 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems

Chou, S. H., Huang, T. M., Huang, W. Q. & Lin, W. W., 2011 Mar 1, In : Journal of Computational Physics. 230, 5, p. 2189-2206 18 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Palindromic quadratization and structure-preserving algorithm for palindromic matrix polynomials of even degree

Hwang, T-M., Lin, W. W. & Su, W. S., 2011 Aug 1, In : Numerische Mathematik. 118, 4, p. 713-735 23 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2010

An efficiency study of polynomial eigenvalue problem solvers for quantum dot simulations

Huang, T. M., Wang, W. & Lee, C. T., 2010 Jun, In : Taiwanese Journal of Mathematics. 14, 3 A, p. 999-1021 23 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

A parallel additive schwarz preconditioned jacobi-davidson algorithm for polynomial eigenvalue problems in quantum dot simulation

Hwang, F. N., Wei, Z. H., Hwang, T-M. & Wang, W., 2010 Apr 20, In : Journal of Computational Physics. 229, 8, p. 2932-2947 16 p.

Research output: Contribution to journalArticle

21 Citations (Scopus)

Palindromic eigenvalue problems: A brief survey

Chu, E. K. W., Huang, T. M., Lin, W. W. & Wu, C. T., 2010 Jun, In : Taiwanese Journal of Mathematics. 14, 3 A, p. 743-779 37 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations

Huang, T. M., Chang, W. J., Huang, Y. L., Lin, W. W., Wang, W. C. & Wang, W., 2010 Nov, In : Journal of Computational Physics. 229, 23, p. 8684-8703 20 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2009

Convergence analysis of the doubling algorithm for several nonlinear matrix equations in the critical case

Chiang, C. Y., Chu, E. K. W., Guo, C. H., Huang, T. M., Lin, W. W. & Xu, S. F., 2009 Dec 28, In : SIAM Journal on Matrix Analysis and Applications. 31, 2, p. 227-247 21 p.

Research output: Contribution to journalArticle

44 Citations (Scopus)

Structured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equations

Hwang, T-M. & Lin, W. W., 2009 Mar 1, In : Linear Algebra and Its Applications. 430, 5-6, p. 1452-1478 27 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
2008

Efficient numerical schemes for electronic states in coupled quantum dots

Hwang, T. M., Wang, W. H. & Wang, W., 2008 Jul 1, In : Journal of Nanoscience and Nanotechnology. 8, 7, p. 3695-3709 15 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Structure-preserving algorithms for palindromic quadratic eigenvalue problems arising from vibration of fast trains

Huang, T. M., Lin, W. W. & Qian, J., 2008 Dec 1, In : SIAM Journal on Matrix Analysis and Applications. 30, 4, p. 1566-1592 27 p.

Research output: Contribution to journalArticle

30 Citations (Scopus)

Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms

Chu, E. K. W., Hwang, T. M., Lin, W. W. & Wu, C. T., 2008 Sep 15, In : Journal of Computational and Applied Mathematics. 219, 1, p. 237-252 16 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)
2007

Numerical schemes for three-dimensional irregular shape quantum dots over curvilinear coordinate systems

Hwang, T. M., Wang, W. C. & Wang, W., 2007 Sep 10, In : Journal of Computational Physics. 226, 1, p. 754-773 20 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2006

A second-order finite volume scheme for three dimensional truncated pyramidal quantum dot

Wang, W., Hwang, T. M. & Jang, J. C., 2006 Mar 1, In : Computer Physics Communications. 174, 5, p. 371-385 15 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
2005

A generalized structure-preserving doubling algorithm for generalized discrete-time algebraic Riccati equations

Hwang, T. M., Chu, E. K. W. & Lin, W. W., 2005 Sep 20, In : International Journal of Control. 78, 14, p. 1063-1075 13 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Energy states of vertically aligned quantum dot array with nonparabolic effective mass

Hwang, T. M. & Wang, W., 2005 Jan 1, In : Computers and Mathematics with Applications. 49, 1, p. 39-51 13 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Jacobi-Davidson methods for cubic eigenvalue problems

Hwang, T. M., Lin, W. W., Liu, J. L. & Wang, W., 2005 Sep, In : Numerical Linear Algebra with Applications. 12, 7, p. 605-624 20 p.

Research output: Contribution to journalArticle

37 Citations (Scopus)
2004

Fixed-point methods for a semiconductor quantum dot model

Hwang, T. M., Lin, W. W., Liu, J. L. & Wang, W., 2004 Sep 1, In : Mathematical and Computer Modelling. 40, 5-6, p. 519-533 15 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Numerical simulation of three dimensional pyramid quantum dot

Hwang, T-M., Lin, W. W., Wang, W. C. & Wang, W., 2004 May 1, In : Journal of Computational Physics. 196, 1, p. 208-232 25 p.

Research output: Contribution to journalArticle

69 Citations (Scopus)
2003

Numerical methods for semiconductor heterostructures with band nonparabolicity

Wang, W., Hwang, T-M., Lin, W. W. & Liu, J. L., 2003 Sep 1, In : Journal of Computational Physics. 190, 1, p. 141-158 18 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)

Numerical solution of quadratic eigenvalue problems with structure-preserving methods

Hwang, T. M., Lin, W. W. & Mehrmann, V., 2003 Jan 1, In : SIAM Journal on Scientific Computing. 24, 4, p. 1283-1302 20 p.

Research output: Contribution to journalArticle

25 Citations (Scopus)

Subcarrier multiplexing by chaotic multitone modulation

Juang, C., Huang, S. T., Liu, C. Y., Wang, W. C., Hwang, T. M., Juang, J. & Lin, W. W., 2003 Oct 1, In : IEEE Journal of Quantum Electronics. 39, 10, p. 1321-1326 6 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2002
4 Citations (Scopus)
2001

Chaotic behaviors of bistable laser diodes and its application in synchronization of optical communication

Wang, W., Hwang, T. M., Juang, C., Juang, J., Liu, C. Y. & Lin, W. W., 2001 Oct, In : Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers. 40, 10, p. 5914-5919 6 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

FM detection from an optical chaotic carrier

Huang, S. T., Hwang, T-M., Juang, C., Juang, J. & Lin, W. W., 2001 Jul 1, In : Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers. 40, 7, p. 4549-4551 3 p.

Research output: Contribution to journalArticle

Optoelectronic delayed-feedback and chaos in quantum-well laser diodes

Juang, C., Huang, C. C., Hwang, T. M., Juang, J. & Lin, W. W., 2001 May 15, In : Optics Communications. 192, 1-2, p. 77-81 5 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2000

Optical chaotic AM demodulation by asymptotic synchronization

Juang, C., Hwang, T. M., Juang, J. & Lin, W. W., 2000 Feb 1, In : IEEE Photonics Technology Letters. 12, 2, p. 179-181 3 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Synchronization scheme using self-pulsating laser diodes in optical chaotic communication

Juang, C., Hwang, T. M., Juang, J. & Lin, W. W., 2000 Mar 1, In : IEEE Journal of Quantum Electronics. 36, 3, p. 300-304 5 p.

Research output: Contribution to journalArticle

45 Citations (Scopus)