Research Output 1987 2020

2012
1 Citation (Scopus)

Equivariant cohomology of infinite-dimensional grassmannian and shifted schur functions

Liou, J. M. F. & Schwarz, A., 2012, In : Mathematical Research Letters. 19, 4, p. 775-784 10 p.

Research output: Contribution to journalArticle

Equivariant Cohomology
Schur Functions
Grassmannian
Multiplication

Geometry, topology and dynamics of character varieties

Xia, E. Z., 2012, Abelian and non-abelian cohomology. Goldman, W., Series, C. & Tan, S. P. (eds.). Hackensack, NJ, USA: World Scientific Publishing Co., Vol. 23. p. 309-349 364 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
7 Citations (Scopus)

Hydrodynamic limits of the nonlinear Klein-Gordon equation

Lin, C. K. & Wu, K-C., 2012 Sep 1, In : Journal des Mathematiques Pures et Appliquees. 98, 3, p. 328-345 18 p.

Research output: Contribution to journalArticle

Incompressible Euler Equations
Compressible Euler Equations
Nonlinear Klein-Gordon Equation
Hydrodynamic Limit
Semiclassical Limit
2 Citations (Scopus)

Improved estimation of duality gap in binary quadratic programming using a weighted distance measure

Xia, Y., Sheu, R. L., Sun, X. & Li, D., 2012 Apr 16, In : European Journal of Operational Research. 218, 2, p. 351-357 7 p.

Research output: Contribution to journalArticle

Duality Gap
Quadratic programming
Distance Measure
Quadratic Programming
Binary
2 Citations (Scopus)

Inverse scattering from a sound-hard crack via two-step method

Lee, K. M., 2012 Aug 17, In : Abstract and Applied Analysis. 2012, 810676.

Research output: Contribution to journalArticle

Far-field Pattern
Two-step Method
Nonlinear Integral Equation
Inverse Scattering
Inverse problems
5 Citations (Scopus)

Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds

Kwong, K. K. & Tam, L. F., 2012 Jan 1, In : Proceedings of the American Mathematical Society. 141, 1, p. 313-324 12 p.

Research output: Contribution to journalArticle

Hyperbolic Manifold
Delta modulation
Flat Manifold
Analogue
1 Citation (Scopus)

Matrix near-rings and 0-primitivity

Ke, W-F. & Meyer, J. H., 2012 Mar 1, In : Monatshefte fur Mathematik. 165, 3-4, p. 353-363 11 p.

Research output: Contribution to journalArticle

Near-ring
Chain Condition
Subgroup
Imply
Zero

Message passing using the cover text as secret key

Shu, Y. C., Hwang, W. L. & Chou, D., 2012 May 24, Proceedings - 2012 International Symposium on Biometrics and Security Technologies, ISBAST 2012. p. 102-107 6 p. 6189637. (Proceedings - 2012 International Symposium on Biometrics and Security Technologies, ISBAST 2012).

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

Message passing
3 Citations (Scopus)

On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Lin, C. K. & Wu, K. C., 2012 Jun 1, In : Discrete and Continuous Dynamical Systems. 32, 6, p. 2233-2251 19 p.

Research output: Contribution to journalArticle

Non-relativistic Limit
Nonlinear Klein-Gordon Equation
Semiclassical Limit
Fluid
Fluids
1 Citation (Scopus)

Orbifold Gromov-Witten theory of the symmetric product of A r

Cheong, W. K. & Gholampour, A., 2012 Mar 29, In : Geometry and Topology. 16, 1, p. 475-527 53 p.

Research output: Contribution to journalArticle

Symmetric Product
Orbifold
Nondegeneracy
Triangular pyramid
Equivariant

Preface

Chebotar, M. & Ke, W-F., 2012 Jul 1, In : Linear and Multilinear Algebra. 60, 7, 1 p.

Research output: Contribution to journalEditorial

2 Citations (Scopus)

Reconstruction of penetrable inclusions in elastic waves by boundary measurements

Kuan, R., 2012 Jan 15, In : Journal of Differential Equations. 252, 2, p. 1494-1520 27 p.

Research output: Contribution to journalArticle

Elastic Waves
Elastic waves
Inclusion
Geometrical optics
Geometrical Optics
1 Citation (Scopus)

Remarks on some isoperimetric properties of the k-1 flow

Lin, Y. C. & Tsai, D. H., 2012 Dec 1, In : Pacific Journal of Mathematics. 260, 1, p. 197-213 17 p.

Research output: Contribution to journalArticle

Isoperimetric
Rescaling
Curve
Circle
Gradient Flow
3 Citations (Scopus)

Self-similar solutions of the Euler equations with spherical symmetry

Peng, C. C. & Lien, W-C., 2012 Nov 1, In : Nonlinear Analysis, Theory, Methods and Applications. 75, 17, p. 6370-6378 9 p.

Research output: Contribution to journalArticle

Nonlinear ODE
Euler System
Spherical Symmetry
Self-similar Solutions
Euler equations

Some results for the davey-stewartson system on a circle

Chen, T. J., Fang, Y-F. & Hong, Y-J., 2012 Nov 27, Progress in Industrial and Civil Engineering. p. 4429-4432 4 p. (Applied Mechanics and Materials; vol. 204-208).

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

Striking panel touch location detect

Wang, C. Y., Liu, H. T. & Shen, S. Y., 2012 Jul 30, Proceedings - 2012 International Symposium on Computer, Consumer and Control, IS3C 2012. p. 397-400 4 p. 6228330. (Proceedings - 2012 International Symposium on Computer, Consumer and Control, IS3C 2012).

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

Sensors
Piezoelectricity
Automatic teller machines
Sports
Electricity
1 Citation (Scopus)

Super duality and homology of unitarizable modules of lie Algebras

Huang, P. Y., Lam, N. & To, T. M., 2012 Feb 23, In : Publications of the Research Institute for Mathematical Sciences. 48, 1, p. 45-63 19 p.

Research output: Contribution to journalArticle

Homology
Lie Algebra
Duality
Module
5 Citations (Scopus)

The Lie derivative of currents on Lie groups

Chi, K. P., Nguyen, H-Q. & Van, B. C., 2012 Jan 1, In : Lobachevskii Journal of Mathematics. 33, 1, p. 10-21 12 p.

Research output: Contribution to journalArticle

Lie Derivative
Form
24 Citations (Scopus)

Ultrasound temperature estimation based on probability variation of backscatter data

Tsui, P. H., Shu, Y. C., Chen, W. S., Liu, H. L., Hsiao, I. T. & Chien, Y. T., 2012 May, In : Medical Physics. 39, 5, p. 2369-2385 17 p.

Research output: Contribution to journalArticle

Temperature
Microwaves
Heating
Ultrasonography
Acoustics
15 Citations (Scopus)

Using ultrasound CBE imaging without echo shift compensation for temperature estimation

Tsui, P. H., Chien, Y. T., Liu, H. L., Shu, Y. C. & Chen, W. S., 2012 Sep 1, In : Ultrasonics. 52, 7, p. 925-935 11 p.

Research output: Contribution to journalArticle

echoes
shift
temperature
energy
hyperthermia
48 Citations (Scopus)

Using ultrasound Nakagami imaging to assess liver fibrosis in rats

Ho, M. C., Lin, J. J., Shu, Y. C., Chen, C. N., Chang, K. J., Chang, C. C. & Tsui, P. H., 2012 Feb 1, In : Ultrasonics. 52, 2, p. 215-222 8 p.

Research output: Contribution to journalArticle

fibrosis
liver
rats
envelopes
scattering
14 Citations (Scopus)

Weighted-1-antimagic graphs of prime power order

Huang, P. Y., Wong, T. L. & Zhu, X., 2012 Jul 28, In : Discrete Mathematics. 312, 14, p. 2162-2169 8 p.

Research output: Contribution to journalArticle

Connected graph
Odd
Odd number
Graph in graph theory
Vertex of a graph
2011
1 Citation (Scopus)

An indirect elastostatic boundary element method with analytic bases

Shen, S. Y., 2011 Dec 1, In : Computers and Structures. 89, 23-24, p. 2402-2413 12 p.

Research output: Contribution to journalArticle

Elastostatics
Boundary element method
Boundary Elements
Elasticity
Probability density function
1 Citation (Scopus)

A particle swarm optimization-based hybrid algorithm for minimum concave cost network flow problems

Yan, S., Shih, Y-L. & Lee, W. T., 2011 Apr 1, In : Journal of Global Optimization. 49, 4, p. 539-559 21 p.

Research output: Contribution to journalArticle

Network Flow Problem
Hybrid Algorithm
Particle swarm optimization (PSO)
Particle Swarm Optimization
Costs
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
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
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
3 Citations (Scopus)

Discrete Eckart-Young theorem for integer matrices

Lin, M. M., 2011 Dec 1, In : SIAM Journal on Matrix Analysis and Applications. 32, 4, p. 1367-1382 16 p.

Research output: Contribution to journalArticle

Integer Matrix
Discrete Data
Singular Values
Singular value decomposition
Theorem
2 Citations (Scopus)

Dynamical system characterization of the central path and its variants-a revisit

Chu, M. T. & Lin, M. M., 2011 Nov 1, In : SIAM Journal on Applied Dynamical Systems. 10, 3, p. 887-905 19 p.

Research output: Contribution to journalArticle

Central Path
Dynamical systems
Dynamical system
Interior Point Method
Semidefinite Programming

Ergodicity of mapping class group actions on SU(2)-character varieties

Goldman, W. M. & Xia, E. Z., 2011 Apr 30, Geometry, rigidity, and group actions: Chicago Lectures in Mathematics. Chicago, IL, USA: University of Chicago Press, p. 591-608 600 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

Homogenization of fractional kinetic equations with random initial data

Liu, G. R. & Shieh, N. R., 2011 Jan 1, In : Electronic Journal of Probability. 16, p. 962-980 19 p.

Research output: Contribution to journalArticle

Kinetic Equation
Homogenization
Random Field
Fractional
Bessel Potential

On a bilinear estimate of Schrödinger waves

Fang, Y-F., 2011 May, In : RIMS Kôkyûroku Bessatsu. B26, p. 1-14

Research output: Contribution to journalArticle

On meromorphic solutions of systems of higher-order partial differential equations in several complex variables

Liu, Y-Y. & Lingyun, G., 2011 Feb 1, In : Far East Journal of Mathematical Sciences. 48, 2, p. 199-209 11 p.

Research output: Contribution to journalArticle

Meromorphic Solution
Several Complex Variables
Partial differential equation
Higher Order
Value Distribution Theory
4 Citations (Scopus)

Quantitative uniqueness for second order elliptic operators with strongly singular coefficients

Lin, C. L., Nakamura, G. & Wang, J. N., 2011, In : Revista Matematica Iberoamericana. 27, 2, p. 475-491 17 p.

Research output: Contribution to journalArticle

Singular Coefficients
Elliptic Operator
Uniqueness
Carleman Estimate
Unique Continuation
1 Citation (Scopus)

Quasineutral limit of the Schrödinger-Poisson system in Coulomb gauge

Lin, C. K., Wong, Y. S. & Wu, K. C., 2011 Dec 1, In : Journal of Mathematical Sciences (Japan). 18, 4, p. 465-489 25 p.

Research output: Contribution to journalArticle

Quasi-neutral Limit
Siméon Denis Poisson
Gauge
Gradient vector
Incompressible Euler Equations
3 Citations (Scopus)

Sensitivity analysis of nongaussianity by projection pursuit

Huang, Y., Cheng, C. R. & Wang, T. H., 2011 Oct 1, In : Statistica Sinica. 21, 4, p. 1713-1733 21 p.

Research output: Contribution to journalArticle

Projection Pursuit
Sensitivity Analysis
Influence Function
Kurtosis
Projection
29 Citations (Scopus)

Super duality and irreducible characters of ortho-symplectic Lie superalgebras

Cheng, S. J., Lam, N. & Wang, W., 2011 Jan 1, In : Inventiones Mathematicae. 183, 1, p. 189-224 36 p.

Research output: Contribution to journalArticle

Irreducible Character
Lie Superalgebra
Duality
Kazhdan-Lusztig Polynomial
Irreducible Module
3 Citations (Scopus)

The Brown-York mass of revolution surfaces in asymptotically Schwarzschild manifolds

Fan, X. Q. & Kwong, K. K., 2011 Jul 1, In : Journal of Geometric Analysis. 21, 3, p. 527-542 16 p.

Research output: Contribution to journalArticle

Surface of revolution
Family

The Electrophysiological Effect of Fibroblast to the Defibrillation in Aged or Diseased Heart

Tang, W. H., Chen, P. Y., Chen, M. H. & Luo, C. H., 2011 Jan 1, In : Journal of Arrhythmia. 27

Research output: Contribution to journalArticle

Heart Diseases
Fibroblasts
Electroporation
Shock
Cell Membrane
2 Citations (Scopus)

The initial layer for Rayleigh problem

Kuo, H-W., 2011 Jan 1, In : Discrete and Continuous Dynamical Systems - Series B. 15, 1, p. 137-170 34 p.

Research output: Contribution to journalArticle

Boltzmann equation
Rayleigh
Boltzmann Equation
Flow velocity
Mach number
7 Citations (Scopus)

The spanning connectivity of line graphs

Huang, P-Y. & Hsu, L. H., 2011 Sep 1, In : Applied Mathematics Letters. 24, 9, p. 1614-1617 4 p.

Research output: Contribution to journalArticle

Line Graph
Container
Hamiltonians
Containers
Connectivity
1 Citation (Scopus)

U-Cohomology formula for unitarizable modules over general linear superalgebras

Lam, N. & Zhang, R. B., 2011 Feb 1, In : Journal of Algebra. 327, 1, p. 50-70 21 p.

Research output: Contribution to journalArticle

Cohomology Group
Superalgebra
Cohomology
Character Formula
Module
33 Citations (Scopus)

Varieties fibered by good minimal models

Lai, C-J., 2011 Jul 1, In : Mathematische Annalen. 350, 3, p. 533-547 15 p.

Research output: Contribution to journalArticle

Minimal Model
Fiber
Fibration
2010
4 Citations (Scopus)

An ant colony system-based hybrid algorithm for square root concave cost transhipment problems

Yan, S., Shih, Y-L. & Wang, C. L., 2010 Nov 1, In : Engineering Optimization. 42, 11, p. 983-1001 19 p.

Research output: Contribution to journalArticle

Ant Colony System
Hybrid Algorithm
Square root
Stochastic Search
Stochastic Algorithms
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
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

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

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