Research Output 1987 2020

2010

Convexity package for momentum maps on contact manifolds

Chiang, R. & Karshon, Y., 2010 Jul 29, In : Algebraic and Geometric Topology. 10, 2, p. 925-977 53 p.

Research output: Contribution to journalArticle

Momentum Map
Contact Manifold
Level Set
Convexity
Zero set
5 Citations (Scopus)

Cyclic permutations of sequences and uniform partitions

Huang, P-Y., Ma, J. & Yeh, Y. N., 2010 Oct 1, In : Electronic Journal of Combinatorics. 17, 1, p. 1-12 12 p.

Research output: Contribution to journalArticle

Fluctuations (theory)
Permutation
Partition
Necessary Conditions
Sufficient Conditions

Dade's invariant conjecture for the general unitary group gu 4(q2) in defining characteristic

An, J. & Huang, S. C., 2010 May 1, In : International Journal of Algebra and Computation. 20, 3, p. 357-380 24 p.

Research output: Contribution to journalArticle

Unitary group
Invariant
Odd
Verify
2 Citations (Scopus)

Dade's invariant conjecture for the symplectic group Sp4(2n) and the special unitary group Su4(22n) in defining characteristic

An, J., Himstedt, F. & Huang, S. C., 2010 Jun 1, In : Communications in Algebra. 38, 6, p. 2364-2403 40 p.

Research output: Contribution to journalArticle

Symplectic Group
Unitary group
Invariant
Verify
12 Citations (Scopus)

Early stopping in L2 Boosting

Ivan Chang, Y. C., Huang, Y. & Huang, Y. P., 2010 Oct 1, In : Computational Statistics and Data Analysis. 54, 10, p. 2203-2213 11 p.

Research output: Contribution to journalArticle

Early Stopping
Boosting
Iteration
Model Selection Criteria
Adaptive boosting
11 Citations (Scopus)

Electro-osmotic flow in a wavy microchannel: Coherence between the electric potential and the wall shape function

Shu, Y-C., Chang, C. C., Chen, Y. S. & Wang, C. Y., 2010 Jan 1, In : Physics of Fluids. 22, 8, 082001.

Research output: Contribution to journalArticle

shape functions
microchannels
electric potential
wavelengths
flow velocity
1 Citation (Scopus)

Inverse mode problems for real and symmetric quadratic models

Lin, M. M., Dong, B. & Chu, M. T., 2010 May 27, In : Inverse Problems. 26, 6, 065003.

Research output: Contribution to journalArticle

M-matrix
Eigenvalue
Coefficient
Model Updating
Nonlinear Systems of Equations
22 Citations (Scopus)

Irreducible characters of general linear superalgebra and super duality

Cheng, S. J. & Lam, N., 2010 Jul 9, In : Communications in Mathematical Physics. 298, 3, p. 645-672 28 p.

Research output: Contribution to journalArticle

Irreducible Character
Superalgebra
Duality
modules
Module
6 Citations (Scopus)

Local uniqueness of generalized Shalika models for SO4 n

Nien, C., 2010 Jan 15, In : Journal of Algebra. 323, 2, p. 437-457 21 p.

Research output: Contribution to journalArticle

P-adic Fields
Galois field
Uniqueness
Model
2 Citations (Scopus)

Matrix maps over planar near-rings

Ke, W. F., Meyer, J. H. & Wendt, G., 2010 Feb 1, In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 140, 1, p. 83-99 17 p.

Research output: Contribution to journalArticle

Near-ring
Bijective
Open Problems

Minimization of Isotonic Functions Composed of Fractions

Lin, J. Y., Schaible, S. & Sheu, R-L., 2010 May 6, In : Journal of Optimization Theory and Applications. 146, 3, p. 581-601 21 p.

Research output: Contribution to journalArticle

Fractional Programming
Fractional
Cutting Plane Method
Mathematical operators
Operator

Numerical algorithms for the largest structured singular value of a μ-synthesis control system

Chen, K. C., Wang, C-S. & Yen, C. C., 2010 Jan 1, In : Taiwanese Journal of Mathematics. 14, 3 A, p. 973-998 26 p.

Research output: Contribution to journalArticle

Structured Singular Value
Numerical Algorithms
Control System
Synthesis
Upper bound
10 Citations (Scopus)

On the nonnegative rank of Euclidean distance matrices

Lin, M. M. & Chu, M. T., 2010 Sep 1, In : Linear Algebra and Its Applications. 433, 3, p. 681-689 9 p.

Research output: Contribution to journalArticle

Euclidean Distance Matrix
Non-negative
Distinct
11 Citations (Scopus)

Optimal three-ball inequalities and quantitative uniqueness for the lamé system with lipschitz coefficients

Lin, C. L., Nakamura, G. & Wang, J. N., 2010 Oct 1, In : Duke Mathematical Journal. 155, 1, p. 189-204 16 p.

Research output: Contribution to journalArticle

Unique Continuation
Lipschitz
Ball
Uniqueness
Coefficient
13 Citations (Scopus)

Optimal three-ball inequalities and quantitative uniqueness for the Stokes system

Lin, C. L., Uhlmann, G. & Wang, J. N., 2010 Nov 1, In : Discrete and Continuous Dynamical Systems. 28, 3, p. 1273-1290 18 p.

Research output: Contribution to journalArticle

Stokes System
Unique Continuation
Ball
Uniqueness
Nontrivial Solution
5 Citations (Scopus)

Periodic homogenization of G-equations and viscosity effects

Liu, Y. Y., Xin, J. & Yu, Y., 2010 Oct 1, In : Nonlinearity. 23, 10, p. 2351-2367 17 p.

Research output: Contribution to journalArticle

Periodic Homogenization
Hamiltonians
homogenizing
Viscosity
viscosity
2 Citations (Scopus)

Quantum codes from Hadamard matrices

Ke, W. F., Lai, K. F. & Zhang, R. B., 2010 Sep 24, In : Linear and Multilinear Algebra. 58, 7, p. 847-854 8 p.

Research output: Contribution to journalArticle

Hadamard Matrix
Unitary matrix
If and only if
Family
4 Citations (Scopus)

Scaling limits for some P.D.E. systems with random initial conditions

Liu, G-R. & Shieh, N. R., 2010 May 1, In : Stochastic Analysis and Applications. 28, 3, p. 505-522 18 p.

Research output: Contribution to journalArticle

Scaling Limit
Partial differential equations
Initial conditions
Hermite Expansion
Linear partial differential equation
4 Citations (Scopus)

Scaling limits for time-fractional diffusion-wave systems with random initial data

Liu, G-R. & Shieh, N. R., 2010 Mar 1, In : Stochastics and Dynamics. 10, 1, p. 1-35 35 p.

Research output: Contribution to journalArticle

Fractional Diffusion
Scaling Limit
Fractional
Linear partial differential equation
Reaction-diffusion
19 Citations (Scopus)

Semi-definite programming techniques for structured quadratic inverse eigenvalue problems

Lin, M. M., Dong, B. & Chu, M. T., 2010 Apr 1, In : Numerical Algorithms. 53, 4, p. 419-437 19 p.

Research output: Contribution to journalArticle

Quadratic Eigenvalue Problem
Inverse Eigenvalue Problem
Semidefinite Programming
Engineering Application
Dynamical Behavior
8 Citations (Scopus)

Singular limits of the Klein-Gordon equation

Lin, C. K. & Wu, K-C., 2010 Apr 21, In : Archive for Rational Mechanics and Analysis. 197, 2, p. 689-711 23 p.

Research output: Contribution to journalArticle

Nonlinear Klein-Gordon Equation
Singular Limit
Klein-Gordon Equation
Wave equations
Wave functions

Stickelberger elements over rational function fields

Huang, P-Y., 2010 Feb 1, In : Journal of Number Theory. 130, 2, p. 199-212 14 p.

Research output: Contribution to journalArticle

Function Fields
Gross
Rational function
Polynomial
Family
11 Citations (Scopus)

Structured backward error for palindromic polynomial eigenvalue problems

Li, R. C., Lin, W. W. & Wang, C. S., 2010 Mar 23, In : Numerische Mathematik. 116, 1, p. 95-122 28 p.

Research output: Contribution to journalArticle

Polynomial Eigenvalue Problem
Backward Error
Transpose
Polynomials
Backward Error Analysis
5 Citations (Scopus)

Symplectic supercuspidal representations and related problems

Jiang, D. H., Nien, C. F. & Qin, Y. J., 2010 May 18, In : Science China Mathematics. 53, 3, p. 533-546 14 p.

Research output: Contribution to journalReview article

P-adic Fields
Local Field
Zero
8 Citations (Scopus)

Symplectic supercuspidal representations of GL(2n) over p-adic fields

Jiang, D., Nien, C. & Qin, Y., 2010 Apr 1, In : Pacific Journal of Mathematics. 245, 2, p. 273-313 41 p.

Research output: Contribution to journalArticle

P-adic Fields
Descent
Classical Groups
Natural Extension
P-adic

The cardinality of some symmetric differences

Huang, P. Y., Ke, W. F. & Pilz, G. F., 2010 Mar 1, In : Proceedings of the American Mathematical Society. 138, 3, p. 787-797 11 p.

Research output: Contribution to journalArticle

Cardinality
Binary
Integer
Chemical analysis

Unique continuation property for a coupled second-fourth order dynamical system and its application

Lin, C. L. & Nakamura, G., 2010 Oct 26, In : SIAM Journal on Mathematical Analysis. 42, 5, p. 2318-2336 19 p.

Research output: Contribution to journalArticle

Unique Continuation
Fourth Order
Dynamical systems
Dynamical system
Elliptic Operator

UNO's invariant conjecture for the finite symplectic group Sp4(q) in the defining characteristic

An, J., Huang, S. C. & Yamada, H., 2010 Oct 1, In : Communications in Algebra. 38, 10, p. 3868-3888 21 p.

Research output: Contribution to journalArticle

Symplectic Group
Finite Group
Invariant
Refinement
Odd
2 Citations (Scopus)

Using Aleksandrov reflection to estimate the location of the center of expansion

Lin, Y. C. & Tsai, D. H., 2010 Feb 1, In : Proceedings of the American Mathematical Society. 138, 2, p. 557-565 9 p.

Research output: Contribution to journalArticle

Closed curve
Estimate
Interior
2009

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

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
11 Citations (Scopus)

Evolving a convex closed curve to another one via a length-preserving linear flow

Lin, Y. C. & Tsai, D. H., 2009 Nov 1, In : Journal of Differential Equations. 247, 9, p. 2620-2636 17 p.

Research output: Contribution to journalArticle

Curvature Flow
Convex Curve
Closed curve
Curvature
Communication

Explicit connections with SU(2)-monodromy

Xia, E. Z., 2009 Sep 1, In : Forum Mathematicum. 21, 5, p. 827-832 6 p.

Research output: Contribution to journalArticle

Monodromy
Orbits
Orbit
Monodromy Group
Riemann-Hilbert Problem
10 Citations (Scopus)

Generic algorithm for generalized fractional programming

Chen, H. J., Schaible, S. & Sheu, R-L., 2009 Apr 1, In : Journal of Optimization Theory and Applications. 141, 1, p. 93-105 13 p.

Research output: Contribution to journalArticle

Generalized Fractional Programming
Convergence Analysis
Iterate
Convex function
Fractional programming
22 Citations (Scopus)

Global optimization for a class of fractional programming problems

Fang, S. C., Gao, D. Y., Sheu, R. L. & Xing, W., 2009 Nov 1, In : Journal of Global Optimization. 45, 3, p. 337-353 17 p.

Research output: Contribution to journalArticle

Fractional Programming
Global optimization
Global Optimization
Quadratic Function
Duality Gap
3 Citations (Scopus)

Klyachko models for general linear groups of rank 5 over a p-adic field

Nien, C., 2009 Feb 1, In : Canadian Journal of Mathematics. 61, 1, p. 222-240 19 p.

Research output: Contribution to journalArticle

P-adic Fields
General Linear Group
Unitary Representation
Existence and Uniqueness
Model
15 Citations (Scopus)

On action-minimizing retrograde and prograde orbits of the three-body problem

Chen, K. C. & Lin, Y-C., 2009 Apr 8, In : Communications in Mathematical Physics. 291, 2, p. 403-441 39 p.

Research output: Contribution to journalArticle

retrograde orbits
Three-body Problem
three body problem
Orbit
orbits
139 Citations (Scopus)

Optimal scheduling of emergency roadway repair and subsequent relief distribution

Yan, S. & Shih, Y-L., 2009 Jun 1, In : Computers and Operations Research. 36, 6, p. 2049-2065 17 p.

Research output: Contribution to journalArticle

Optimal Scheduling
Emergency
Repair
Scheduling
Planning
6 Citations (Scopus)

Parameter reconstruction of vibration systems from partial eigeninformation

Dong, B., Lin, M. M. & Chu, M. T., 2009 Nov 13, In : Journal of Sound and Vibration. 327, 3-5, p. 391-401 11 p.

Research output: Contribution to journalArticle

Inverse problems
vibration
polynomials
physical work
Polynomials
1 Citation (Scopus)

Perturbation results related to palindromic eigenvalue problems

Chu, E. K. W., Lin, W. W. & Wang, C. S., 2009 Dec 1, In : ANZIAM Journal. 50, 1, p. 87-100 14 p.

Research output: Contribution to journalArticle

Eigenvalue Problem
Perturbation
Matrix Polynomial
Canonical form
Triangular

Solving guided wave modes in plasmonic crystals by interfacial operator and coupling interface approach

Shu, Y-C., Chang, C. C., Chern, I. L. & Liu, Y. H., 2009 Jan 1, Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing. Electromagnetics Academy, p. 1625-1629 5 p. (Progress in Electromagnetics Research Symposium; vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Guided electromagnetic wave propagation
Crystals
Permittivity
Metals

Strong Lefschetz property under reduction

Chiang, R. & Xia, E. Z., 2009 Nov, In : Israel Journal of Mathematics. 174, 1, p. 369-380 12 p.

Research output: Contribution to journalArticle

Symplectic Manifold
Compact Manifold
Quotient
9 Citations (Scopus)

Uniqueness of Shalika models

Nien, C., 2009 Dec 1, In : Canadian Journal of Mathematics. 61, 6, p. 1325-1340 16 p.

Research output: Contribution to journalArticle

Uniqueness
Quaternion Algebra
P-adic Fields
Division Algebra
Galois field
2008
13 Citations (Scopus)

A BGG-type resolution for tensor modules over general linear superalgebra

Cheng, S. J., Kwon, J. H. & Lam, N., 2008 Apr 1, In : Letters in Mathematical Physics. 84, 1, p. 75-87 13 p.

Research output: Contribution to journalArticle

Superalgebra
Tensor
modules
tensors
Singular Vectors
3 Citations (Scopus)

A critical case on the Dirac-Klein-Gordon equations in one space dimension

Fang, Y-F. & Huang, H. C., 2008 Jan 1, In : Taiwanese Journal of Mathematics. 12, 5, p. 1045-1059 15 p.

Research output: Contribution to journalArticle

Bilinear Estimates
Klein-Gordon Equation
Critical Case
Local Existence
Dirac Equation

An optimization model for manpower assignment to construction inspection projects

Yan, S., Li, C. Y. & Shih, Y. L., 2008 Dec 1, In : Journal of the Chinese Institute of Civil and Hydraulic Engineering. 20, 4, p. 585-595 11 p.

Research output: Contribution to journalArticle

Inspection
Engineers
Integer programming
Industry
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
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
16 Citations (Scopus)

Inverse scattering problem for an impedance crack

Lee, K-M., 2008 Jan 1, In : Wave Motion. 45, 3, p. 254-263 10 p.

Research output: Contribution to journalArticle

inverse scattering
far fields
cracks
impedance
16 Citations (Scopus)

Local Shalika models and functoriality

Jiang, D., Nien, C. & Qin, Y., 2008 Oct 1, In : Manuscripta Mathematica. 127, 2, p. 187-217 31 p.

Research output: Contribution to journalArticle

Automorphic Forms
P-adic Fields
Local Field
Irreducible Representation
Proposition