7 citations · 13 across the 12 of their papers we have counts for
12 papers
Volume-Preserving Parameterizations via Preconditioned Nonlinear Conjugate Gradient Method
Shu-Yung Liu, Tsung-Ming Huang, Wen-Wei Lin +1
A volume-preserving parameterization is a bijective mapping that maps a 3-manifold onto a canonical domain while preserving local volume. We formulate this problem as an unconstrai…
Numerical Solutions for Stochastic Continuous-time Algebraic Riccati Equations
Tsung-Ming Huang, Yueh-Cheng Kuo, Ren-Cang Li +1
We are concerned with efficient numerical methods for stochastic continuous-time algebraic Riccati equations (SCARE). Such equations frequently arise from the state-dependent Ricca…
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 +1
In this paper we mainly propose efficient and reliable numerical algorithms for solving stochastic continuous-time algebraic Riccati equations (SCARE) typically arising from the di…
Convergence Analysis of Volumetric Stretch Energy Minimization and its Associated Optimal Mass Transport
Tsung-Ming Huang, Wei-Hung Liao, Wen-Wei Lin +2
The volumetric stretch energy has been widely applied to the computation of volume-/mass-preserving parameterizations of simply connected tetrahedral mesh models. However, this app…
Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Equiareal parameterizations
Tsung-Ming Huang, Wei-Hung Liao, Wen-Wei Lin
In this paper, we first extend the finite distortion problem from the bounded domains in to the closed genus-zero surfaces in by the stereographic pro…
Convergence Analysis of Dirichlet Energy Minimization for Spherical Conformal Parameterizations
Wei-Hung Liao, Tsung-Ming Huang, Wen-Wei Lin +1
In this paper, we first derive a theoretical basis for spherical conformal parameterizations between a simply connected closed surface and a unit sphere $\mathbb{S}^2…
Bifurcation Analysis of the Eigenstructure of the Discrete Single-curl Operator in Three-dimensional Maxwell's Equations with Pasteur Media
Xin Liang, Zhen-Chen Guo, Tsung-Ming Huang +2
This paper focuses on studying the bifurcation analysis of the eigenstructure of the -parameterized generalized eigenvalue problem (-GEP) arising in three-dimensional (3D) so…
Eigenvalue Problems of Discrete Curl Operators on Various Lattices for Simulating Three Dimensional Photonic Crystals
Huang Tsung-Ming, Li Tiexiang, Li Wei-De +3
There are many numerical methods for simulate three-dimensional photonic crystals, after comparison, we choose Yee's scheme to be our discrete method. So far, this method can only…
Solving Three Dimensional Maxwell Eigenvalue Problem with Fourteen Bravais Lattices
Tsung-Ming Huang, Tiexiang Li, Wei-De Li +3
Calculation of band structure of three dimensional photonic crystals amounts to solving large-scale Maxwell eigenvalue problems, which are notoriously challenging due to high multi…
Solving large-scale nonlinear eigenvalue problems by rational interpolation approach and resolvent sampling based Rayleigh-Ritz method
Jinyou Xiao, Chuanzeng Zhang, Tsung-Ming Huang +1
Numerical solution of nonlinear eigenvalue problems (NEPs) is frequently encountered in computational science and engineering. The applicability of most existing methods is limited…
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 +2
This article focuses on solving the generalized eigenvalue problems (GEP) arising in the source-free Maxwell equation with magnetoelectric coupling effects that models three-dimens…
On the Convergence of Ritz Pairs and Refined Ritz Vectors for Quadratic Eigenvalue Problems
Tsung-Ming Huang, Zhongxiao Jia, Wen-Wei Lin
For a given subspace, the Rayleigh-Ritz method projects the large quadratic eigenvalue problem (QEP) onto it and produces a small sized dense QEP. Similar to the Rayleigh-Ritz meth…