Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems Arising from Vibration of Fast Trains. - Tsung-Ming Huang; Wen-Wei Lin; Jiang Qian (SIAM J. Matrix Anal. Appl., 2008)

Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case. - Chun-Yueh Chiang; Eric King-Wah Chu; Chun-Hua Guo; Tsung-Ming Huang; Wen-Wei Lin; Shu-Fang Xu (SIAM J. Matrix Anal. Appl., 2009)

Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations. - Tsung-Ming Huang; Wei-Jen Chang; Yin-Liang Huang; Wen-Wei Lin; Wei-Cheng Wang; Weichung Wang (J. Comput. Phys., 2010)

A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation. - Feng-Nan Hwang; Zih-Hao Wei; Tsung-Ming Huang; Weichung Wang (J. Comput. Phys., 2010)

Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems. - So-Hsiang Chou; Tsung-Ming Huang; Wei-Qiang Huang; Wen-Wei Lin (J. Comput. Phys., 2011)

Palindromic quadratization and structure-preserving algorithm for palindromic matrix polynomials of even degree. - Tsung-Ming Huang; Wen-Wei Lin; Wei-Shuo Su (Numerische Mathematik, 2011)

Structure-preserving Arnoldi-type algorithm for solving eigenvalue problems in leaky surface wave propagation. - Tsung-Ming Huang; Wen-Wei Lin; Chin-Tien Wu (Appl. Math. Comput., 2013)

Numerical studies on structure-preserving algorithms for surface acoustic wave simulations. - Tsung-Ming Huang; Tie-xiang Li; Wen-Wei Lin; Chin-Tien Wu (J. Comput. Appl. Math., 2013)

Computing Extremal Eigenvalues for Three-Dimensional Photonic Crystals with Wave Vectors Near the Brillouin Zone Center. - Tsung-Ming Huang; Yueh-Cheng Kuo; Weichung Wang (J. Sci. Comput., 2013)

Matrix representation of the double-curl operator for simulating three dimensional photonic crystals. - Tsung-Ming Huang; Han-En Hsieh; Wen-Wei Lin; Weichung Wang (Math. Comput. Model., 2013)

Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three-Dimensional Photonic Crystals. - Tsung-Ming Huang; Han-En Hsieh; Wen-Wei Lin; Weichung Wang (SIAM J. Matrix Anal. Appl., 2013)

Eigenvalue solvers for three dimensional photonic crystals with face-centered cubic lattice. - Tsung-Ming Huang; Han-En Hsieh; Wen-Wei Lin; Weichung Wang (J. Comput. Appl. Math., 2014)

Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell's Equations for Complex Media. - Ruey-Lin Chern; Han-En Hsieh; Tsung-Ming Huang; Wen-Wei Lin; Weichung Wang (SIAM J. Matrix Anal. Appl., 2015)

A Robust Numerical Algorithm for Computing Maxwell's Transmission Eigenvalue Problems. - Tsung-Ming Huang; Wei-Qiang Huang; Wen-Wei Lin (SIAM J. Sci. Comput., 2015)

A Null Space Free Jacobi-Davidson Iteration for Maxwell's Operator. - Yin-Liang Huang; Tsung-Ming Huang; Wen-Wei Lin; Wei-Cheng Wang (SIAM J. Sci. Comput., 2015)

A hybrid Jacobi-Davidson method for interior cluster eigenvalues with large null-space in three dimensional lossless Drude dispersive metallic photonic crystals. - Tsung-Ming Huang; Wen-Wei Lin; Weichung Wang (Comput. Phys. Commun., 2016)

A new two-phase structure-preserving doubling algorithm for critically singular M-matrix algebraic Riccati equations. - Tsung-Ming Huang; Wei-Qiang Huang; Ren-Cang Li; Wen-Wei Lin (Numer. Linear Algebra Appl., 2016)

A Newton-Type Method with Nonequivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling. - Tsung-Ming Huang; Wen-Wei Lin; Volker Mehrmann (SIAM J. Sci. Comput., 2016)

Computing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculations. - Tsung-Ming Huang; Wen-Wei Lin; Heng Tian; Guan-Hua Chen (J. Comput. Phys., 2018)

Highly efficient GPU eigensolver for three-dimensional photonic crystal band structures with any Bravais lattice. - Tsung-Ming Huang; Wen-Wei Lin; Hsinhan Tsai; Weichung Wang (Comput. Phys. Commun., 2019)

A finite element based fast eigensolver for three dimensional anisotropic photonic crystals. - So-Hsiang Chou; Tsung-Ming Huang; Tie-xiang Li; Jia-Wei Lin; Wen-Wei Lin (J. Comput. Phys., 2019)

Electromagnetic field behavior of 3D Maxwell's equations for chiral media. - Tsung-Ming Huang; Tie-xiang Li; Ruey-Lin Chern; Wen-Wei Lin (J. Comput. Phys., 2019)

Bifurcation Analysis of the Eigenstructure of the Discrete Single-curl Operator in Three-dimensional Maxwell's Equations with Pasteur Media. - Xin Liang 004; Zhen-Chen Guo; Tsung-Ming Huang; Tiexiang Li; Wen-Wei Lin (CoRR, 2020)

Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals. - Tsung-Ming Huang; Tiexiang Li; Jia-Wei Lin; Wen-Wei Lin; Heng Tian (J. Sci. Comput., 2020)

A Two-Phase Optimal Mass Transportation Technique for 3D Brain Tumor Detection and Segmentation. - Wen-Wei Lin; Tiexiang Li; Tsung-Ming Huang; Jia-Wei Lin; Mei-Heng Yueh; Shing-Tung Yau (BrainLes@MICCAI (1), 2021)

The bi-Lebedev scheme for the Maxwell eigenvalue problem with 3D bi-anisotropic complex media. - Xing-Long Lyu; Tiexiang Li; Tsung-Ming Huang; Wen-Wei Lin; Heng Tian (Comput. Phys. Commun., 2021)

An efficient contour integral based eigensolver for 3D dispersive photonic crystal. - Tsung-Ming Huang; Weichien Liao; Wen-Wei Lin; Weichung Wang (J. Comput. Appl. Math., 2021)

Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems. - Mei-Heng Yueh; Tsung-Ming Huang; Tiexiang Li; Wen-Wei Lin; Shing-Tung Yau (J. Sci. Comput., 2021)

FAME: Fast Algorithms for Maxwell's Equations for Three-dimensional Photonic Crystals. - Xing-Long Lyu; Tiexiang Li; Tsung-Ming Huang; Jia-Wei Lin; Wen-Wei Lin; Sheng Wang (ACM Trans. Math. Softw., 2021)

An UNet-Based Brain Tumor Segmentation Framework via Optimal Mass Transportation Pre-processing. - Jia-Wei Liao; Tsung-Ming Huang; Tiexiang Li; Wen-Wei Lin; Han Wang; Shing-Tung Yau (BrainLes@MICCAI, 2022)

Convergence Analysis of Dirichlet Energy Minimization for Spherical Conformal Parameterizations. - Wei-Hung Liao; Tsung-Ming Huang; Wen-Wei Lin; Mei-Heng Yueh (CoRR, 2022)

Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Equiareal parameterizations. - Tsung-Ming Huang; Wei-Hung Liao; Wen-Wei Lin (CoRR, 2022)

Solving Maxwell eigenvalue problems for three dimensional isotropic photonic crystals with fourteen Bravais lattices. - Xing-Long Lyu; Tiexiang Li; Jia-Wei Lin; Tsung-Ming Huang; Wen-Wei Lin; Heng Tian (J. Comput. Appl. Math., 2022)

On Novel Fixed-Point-Type Iterations with Structure-Preserving Doubling Algorithms for Stochastic Continuous-time Algebraic Riccati equations. - Tsung-Ming Huang; Yueh-Cheng Kuo; Ren-Cang Li; Wen-Wei Lin (CoRR, 2023)

Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations. - Jia-Wei Lin; Tiexiang Li; Wen-Wei Lin; Tsung-Ming Huang (Adv. Comput. Math., 2023)

Convergence Analysis of Volumetric Stretch Energy Minimization and Its Associated Optimal Mass Transport. - Tsung-Ming Huang; Wei-Hung Liao; Wen-Wei Lin; Mei-Heng Yueh; Shing-Tung Yau (SIAM J. Imaging Sci., 2023)

Isovolumetric Energy Minimization for Ball-Shaped Volume-Preserving Parameterizations of 3-Manifolds. - Shu-Yung Liu; Tsung-Ming Huang; Wen-Wei Lin; Mei-Heng Yueh (CoRR, 2024)

Convergence of Dirichlet Energy Minimization for Spherical Conformal Parameterizations. - Wei-Hung Liao; Tsung-Ming Huang; Wen-Wei Lin; Mei-Heng Yueh (J. Sci. Comput., 2024)

Fundamental theory and R-linear convergence of stretch energy minimization for spherical equiareal parameterization. - Tsung-Ming Huang; Wei-Hung Liao; Wen-Wei Lin (J. Num. Math., 2024)

Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations. - Tsung-Ming Huang; Yueh-Cheng Kuo; Wen-Wei Lin; Shih-Feng Shieh (SIAM J. Matrix Anal. Appl., 2024)

Numerical Solutions for Stochastic Continuous-Time Algebraic Riccati Equations. - Tsung-Ming Huang; Yueh-Cheng Kuo; Ren-Cang Li; Wen-Wei Lin (SIAM J. Matrix Anal. Appl., 2025)