Research Output 1987 2020

Article
4 Citations (Scopus)

A second degree Newton method for an inverse obstacle scattering problem

Kress, R. & Lee, K-M., 2011 Jan 1, In : Journal of Computational Physics. 230, 20, p. 7661-7669 9 p.

Research output: Contribution to journalArticle

Newton methods
Newton-Raphson method
Acoustic waves
Scattering
acoustics

A second degree Newton method in inverse scattering problem for a crack

Lee, K. M., 2012 Apr 9, In : Journal of Mathematical Physics. 53, 4, 043503.

Research output: Contribution to journalArticle

Newton methods
Inverse Scattering Problem
inverse scattering
Newton Methods
integral equations
6 Citations (Scopus)

A study of singular spectrum analysis with global optimization techniques

Chu, M. T., Lin, M. M. & Wang, L., 2014 Jan 1, In : Journal of Global Optimization. 60, 3, p. 551-574 24 p.

Research output: Contribution to journalArticle

Singular Spectrum Analysis
Global optimization
Spectrum analysis
Global Optimization
Optimization Techniques
1 Citation (Scopus)

Asymptotic Behavior for Rayleigh Problem Based on Kinetic Theory

Kuo, H. W., 2017 Mar 1, In : Journal of Statistical Physics. 166, 5, p. 1247-1275 29 p.

Research output: Contribution to journalArticle

Kinetic Theory
kinetic theory
Rayleigh
Asymptotic Behavior
Boltzmann Equation
2 Citations (Scopus)

Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain

Lin, C. L., Uhlmann, G. & Wang, J. N., 2011 Dec 1, In : Indiana University Mathematics Journal. 60, 6, p. 2093-2106 14 p.

Research output: Contribution to journalArticle

Stationary Navier-Stokes Equations
Carleman Estimate
Exterior Domain
Asymptotic Behavior of Solutions
Incompressible Fluid

Asymptotic behavior of the isoperimetric deficit for expanding convex plane curves

Lin, Y-C. & Tsai, D. H., 2014 Jan 1, In : Journal of Evolution Equations. 14, 4-5, p. 779-794 16 p.

Research output: Contribution to journalArticle

Convex Curve
Isoperimetric
Plane Curve
Asymptotic Behavior
Curve
1 Citation (Scopus)

Asymptotic limit of the Gross-Pitaevskii equation with general initial data

Li, F. C., Lin, C. K. & Wu, K. C., 2016 Jun 1, In : Science China Mathematics. 59, 6, p. 1113-1126 14 p.

Research output: Contribution to journalArticle

Gross-Pitaevskii Equation
Asymptotic Limit
Incompressible Euler Equations
Strong Solution
Justification
1 Citation (Scopus)

Asymptotic perturbation of palindromic eigenvalue problems

Li, T. X., Chu, E. K. W. & Wang, C. S., 2010 Jun, In : Taiwanese Journal of Mathematics. 14, 3 A, p. 781-793 13 p.

Research output: Contribution to journalArticle

Eigenvalue Problem
Perturbation
Implicit Function
Matrix Polynomial
Eigenvalues and Eigenvectors
6 Citations (Scopus)

Asymptotics for Turbulent Flame Speeds of the Viscous G-Equation Enhanced by Cellular and Shear Flows

Liu, Y. Y., Xin, J. & Yu, Y., 2011 Nov 1, In : Archive for Rational Mechanics and Analysis. 202, 2, p. 461-492 32 p.

Research output: Contribution to journalArticle

Shear flow
Shear Flow
Flame
Turbulent Combustion
Hamiltonians
36 Citations (Scopus)
Disasters
Scheduling
Repair
Heuristic algorithms
2 Citations (Scopus)

A two step method in inverse scattering problem for a crack

Lee, K-M., 2010 Feb 1, In : Journal of Mathematical Physics. 51, 2, 053002JMP.

Research output: Contribution to journalArticle

acoustic scattering
Newton methods
Two-step Method
Inverse Scattering Problem
inverse scattering
4 Citations (Scopus)

Augmented coupling interface method for solving eigenvalue problems with sign-changed coefficients

Shu, Y-C., Kao, C. Y., Chern, I. L. & Chang, C. C., 2010 Dec 10, In : Journal of Computational Physics. 229, 24, p. 9246-9268 23 p.

Research output: Contribution to journalArticle

Linear systems
Interpolation
eigenvalues
Polynomials
coefficients
7 Citations (Scopus)

Augmented lagrange primal-dual approach for generalized fractional programming problems

Lin, J. Y., Chen, H. J. & Sheu, R. L., 2013 Sep 30, In : Journal of Industrial and Management Optimization. 9, 4, p. 723-741 19 p.

Research output: Contribution to journalArticle

Generalized Fractional Programming
Primal-dual
Min-max
Lagrange
Lagrange Method
2 Citations (Scopus)

Automorphism groups of certain simple 2-(q,3,λ) designs constructed from finite fields

Beidar, K. I., Ke, W. F., Liu, C. H. & Wu, W. R., 2003 Oct, In : Finite Fields and their Applications. 9, 4, p. 400-412 13 p.

Research output: Contribution to journalArticle

Linear transformations
Subfield
Linear transformation
Vector spaces
Automorphism
4 Citations (Scopus)

Automorphisms of certain design groups

Ke, W. F. & Kiechle, H., 1994 Jul 15, In : Journal of Algebra. 167, 2, p. 488-500 13 p.

Research output: Contribution to journalArticle

Automorphisms
Design

Automorphisms of certain design groups II

Beidar, K. I., Ke, W. F. & Kiechle, H., 2007 Jul 15, In : Journal of Algebra. 313, 2, p. 672-686 15 p.

Research output: Contribution to journalArticle

Automorphisms
Isomorphic
Geometric Structure
Design
Automorphism Group
1 Citation (Scopus)

Bernstein-Sato polynomials on normal toric varieties

Hsiao, J. C. & Matusevich, L. F., 2018 Mar, In : Michigan Mathematical Journal. 67, 1, p. 117-132 16 p.

Research output: Contribution to journalArticle

Multiplier Ideals
Semigroup Ring
Monomial Ideals
Bernstein Polynomials
Toric Varieties
1 Citation (Scopus)

Boltzmann systems for gas mixtures in 1d torus

Wu, K. C., 2017 Jan 1, In : Quarterly of Applied Mathematics. 75, 3, p. 415-431 17 p.

Research output: Contribution to journalArticle

Gas Mixture
Boltzmann equation
Boltzmann Equation
Ludwig Boltzmann
Gas mixtures
3 Citations (Scopus)

Bounding volumes of singular fano threefolds

Lai, C. J., 2016 Dec 1, In : Nagoya Mathematical Journal. 224, p. 37-73 37 p.

Research output: Contribution to journalArticle

Threefolds
Boundedness
Fano Variety
Upper bound
Factorial
1 Citation (Scopus)

Brendle’s Inequality on Static Manifolds

Wang, X. & Wang, Y. K., 2018 Jan 1, In : Journal of Geometric Analysis. 28, 1, p. 152-169 18 p.

Research output: Contribution to journalArticle

Geometric Inequalities
Hyperbolic Manifold
Mean Curvature
Hypersurface
Reverse
54 Citations (Scopus)

Canonical dual approach to solving 0-1 quadratic programming problems

Fang, S. C., Gao, D. Y., Sheu, R. L. & Wu, S. Y., 2008 Nov 28, In : Journal of Industrial and Management Optimization. 4, 1, p. 125-142 18 p.

Research output: Contribution to journalArticle

0-1 Programming
Quadratic programming
Quadratic Programming
Dual Problem
Local Optimality
3 Citations (Scopus)

Canonical dual solutions to quadratic optimization over one quadratic constraint

Xing, W., Fang, S. C., Sheu, R. L. & Zhang, L., 2015 Feb 25, In : Asia-Pacific Journal of Operational Research. 32, 1, 1540007.

Research output: Contribution to journalArticle

Optimization problem
Error bounds
Quadratic programming
Objective function
11 Citations (Scopus)

Cargo container loading plan model and solution method for international air express carriers

Yan, S., Lo, C. T. & Shih, Y-L., 2006 Dec 1, In : Transportation Planning and Technology. 29, 6, p. 445-470 26 p.

Research output: Contribution to journalArticle

cargo container
Containers
air
Air
operating costs
5 Citations (Scopus)

Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface

Di Cristo, M., Francini, E., Lin, C. L., Vessella, S. & Wang, J. N., 2017 Aug, In : Journal des Mathematiques Pures et Appliquees. 108, 2, p. 163-206 44 p.

Research output: Contribution to journalArticle

Carleman Estimate
Second Order Elliptic Equations
Lipschitz
Jump
Coefficient
2 Citations (Scopus)

Cartier modules on toric varieties

Hsiao, J. C., Schwede, K. & Zhang, W., 2014 Jan 30, In : Transactions of the American Mathematical Society. 366, 4, p. 1773-1795 23 p.

Research output: Contribution to journalArticle

Toric Varieties
Algebra
Module
Toric Ideal
Divisible
4 Citations (Scopus)

Cauchy Problem and Exponential Stability for the Inhomogeneous Landau Equation

Carrapatoso, K., Tristani, I. & Wu, K. C., 2016 Jul 1, In : Archive for Rational Mechanics and Analysis. 221, 1, p. 363-418 56 p.

Research output: Contribution to journalArticle

Landau Equation
Exponential Stability
Asymptotic stability
Cauchy Problem
Semigroup
18 Citations (Scopus)

Character formula for infinite-dimensional unitarizable modules of the general linear superalgebra

Cheng, S. J., Lam, N. & Zhang, R. B., 2004 Mar 15, In : Journal of Algebra. 273, 2, p. 780-805 26 p.

Research output: Contribution to journalArticle

Character Formula
Superalgebra
Fock Space
Module
Tensor

Character Table of a Borel Subgroup of the Ree Groups 2 F4( q2)

Himstedt, F. & Huang, S., 2009 Jan 1, In : LMS Journal of Computation and Mathematics. 12, p. 1-53

Research output: Contribution to journalArticle

4 Citations (Scopus)

Character tables of parabolic subgroups of the Chevalley groups of type G2

An, J. & Huang, S. C., 2006 May 29, In : Communications in Algebra. 34, 5, p. 1763-1792 30 p.

Research output: Contribution to journalArticle

Character Table
Chevalley Groups
Parabolic Subgroup

Character tables of the maximal parabolic subgroups of the Ree groups 2F4(q2)

Himstedt, F. & Huang, S., 2010 Dec 1, In : LMS Journal of Computation and Mathematics. 13, p. 90-110

Research output: Contribution to journalArticle

3 Citations (Scopus)
rotating cylinders
viscous fluids
Viscous Fluid
Incompressible Fluid
Rotating
2 Citations (Scopus)

Circularity of finite groups without fixed points

Beidar, K. I., Ke, W-F. & Kiechle, H., 2005 Apr 1, In : Monatshefte fur Mathematik. 144, 4, p. 265-273 9 p.

Research output: Contribution to journalArticle

Finite Group
Fixed point
Division ring or skew field
Prime number
Free Group
1 Citation (Scopus)

Classification of some 3-subgroups of the finite groups of Lie type E6

An, J., Dietrich, H. & Huang, S. C., 2018 Dec, In : Journal of Pure and Applied Algebra. 222, 12, p. 4020-4039 20 p.

Research output: Contribution to journalArticle

Finite Groups of Lie Type
Subgroup
Conjugacy
Groups of Lie Type
Modular Representations
34 Citations (Scopus)

Cluster algebras of finite type via coxeter elements and principal minors

Yang, S. W. & Zelevinsky, A., 2008 Dec 1, In : Transformation Groups. 13, 3-4, p. 855-895 41 p.

Research output: Contribution to journalArticle

Cluster Algebra
Finite Type
Minor
Semisimple Groups
Arbitrary
Open Access
Operator Splitting Method
Ion Channels
operator regions
Sodium Channels
ion channels
1 Citation (Scopus)
Adaptive algorithms
Mathematical operators
Sodium
Ions
Costs
1 Citation (Scopus)

Combinatorial expressions for F-polynomials in classical types

Yang, S. W., 2012 Apr 1, In : Journal of Combinatorial Theory. Series A. 119, 3, p. 747-764 18 p.

Research output: Contribution to journalArticle

Cluster Algebra
Algebra
Polynomials
Polynomial
Directed graphs
3 Citations (Scopus)

Combinatorial properties of ring generated circular planar nearrings

Ke, W. F. & Kiechle, H., 1996 Jan 1, In : Journal of Combinatorial Theory. Series A. 73, 2, p. 286-301 16 p.

Research output: Contribution to journalArticle

Near-ring
Ring
3 Citations (Scopus)
Path-following Methods
Min-max Problem
Linear Constraints
Regularization
Interior Point Method
2 Citations (Scopus)

Compactness of isospectral conformal metrics and isospectral potentials on a 4-manifold

Chen, R. R-C. & Xu, X., 1996 Jul 1, In : Duke Mathematical Journal. 84, 1, p. 131-154 24 p.

Research output: Contribution to journalArticle

Conformal Metric
4-manifold
Compactness
4 Citations (Scopus)

Complexity one hamiltonian SU (2) and so (3) actions

Chiang, M-J., 2005 Feb 1, In : American Journal of Mathematics. 127, 1, p. 129-168 40 p.

Research output: Contribution to journalArticle

Symplectic Manifold
Equivariant
Classify
10 Citations (Scopus)

Components of Hom(π1, PGL(2, R))

Xia, E. Z., 1997 Mar 1, In : Quantum Topology. 36, 2, p. 481-499

Research output: Contribution to journalArticle

23 Citations (Scopus)

Composition-Diamond Lemma for associative conformal algebras

Bokut, L. A., Fong, Y. & Ke, W. F., 2004 Feb 15, In : Journal of Algebra. 272, 2, p. 739-774 36 p.

Research output: Contribution to journalArticle

Conformal Algebra
Associative Algebra
Strombus or kite or diamond
Lemma
Word problem
2 Citations (Scopus)

Conditional stability for the hexagonal anisotropic elastic dynamical systems

Lin, C. L. & Nakamura, G., 2009 Oct 1, In : Communications in Partial Differential Equations. 34, 10, p. 1251-1264 14 p.

Research output: Contribution to journalArticle

Conditional Stability
Elliptic Systems
Hexagon
Gauss
Dynamical systems

Conditioning of state feedback pole assignment problems

Chu, E. K. W., Weng, C. Y., Wang, C. S. & Yen, C. C., 2012 Jan 1, In : Taiwanese Journal of Mathematics. 16, 1, p. 283-304 22 p.

Research output: Contribution to journalArticle

Pole Assignment
Assignment Problem
State Feedback
Conditioning
Norm

Congruences of finite summations of the coeffcients in certain generating functions

Huang, P. Y., Liu, S. C. & Yeh, Y. N., 2014 Jun 9, In : Electronic Journal of Combinatorics. 21, 2

Research output: Contribution to journalArticle

Summation
Congruence
Generating Function
Integer
Odd
21 Citations (Scopus)

Constant hermitian scalar curvature equations on ruled manifolds

Hong, Y. J., 1999 Jan 1, In : Journal of Differential Geometry. 53, 3, p. 465-516 52 p.

Research output: Contribution to journalArticle

Scalar Curvature

Continuation Methods for Solving Modified Discrete-Time Algebraic Riccati Equations

Lin, W. W., Wang, C-S. & Han, C. H., 1995 Jan 1, In : IEEE Transactions on Automatic Control. 40, 5, p. 920-924 5 p.

Research output: Contribution to journalArticle

Riccati equations
Numerical methods
Polynomials
5 Citations (Scopus)

Contracting convex immersed closed plane curves with slow speed of curvature

Lin, Y. C., Poon, C. C. & Tsai, D. H., 2012 Jul 26, In : Transactions of the American Mathematical Society. 364, 11, p. 5735-5763 29 p.

Research output: Contribution to journalArticle

Closed curve
Self-similar Solutions
Plane Curve
Terminology
Curvature
2 Citations (Scopus)

Convergence of the Klein-Gordon equation to the wave map equation with magnetic field

Wu, K. C., 2010 May 15, In : Journal of Mathematical Analysis and Applications. 365, 2, p. 584-589 6 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Nonlinear Klein-Gordon Equation
Magnetic Field
Magnetic fields
Light velocity