Research Output 1987 2020

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 boundary element method for Laplace's equation without numerical integrations

Shen, S-Y., 2001 Sep 10, In : Applied Mathematics and Computation. 123, 1, p. 1-25 25 p.

Research output: Contribution to journalArticle

Laplace equation
Boundary element method
Laplace's equation
Numerical integration
Boundary value problems
1 Citation (Scopus)

A canonical dual approach for solving linearly constrained quadratic programs

Xing, W., Fang, S. C., Sheu, R-L. & Wang, Z., 2012 Apr 1, In : European Journal of Operational Research. 218, 1, p. 21-27 7 p.

Research output: Contribution to journalArticle

Quadratic Program
Linearly
Quadratic Constraint
Linear Constraints
Quadratic Function
5 Citations (Scopus)

Accurate gradient approximation for complex interface problems in 3D by an improved coupling interface method

Shu, Y-C., Chern, I. L. & Chang, C. C., 2014 Oct 15, In : Journal of Computational Physics. 275, p. 642-661 20 p.

Research output: Contribution to journalArticle

Derivatives
gradients
approximation
Interpolation
ghosts

A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

Hsiao, J. C., 2012 May 1, In : Communications in Algebra. 40, 5, p. 1618-1624 7 p.

Research output: Contribution to journalArticle

Multiplier Ideals
Subadditivity
Toric Varieties
Counterexample
Complete Intersection
58 Citations (Scopus)

A coupling interface method for elliptic interface problems

Chern, I. L. & Shu, Y-C., 2007 Aug 10, In : Journal of Computational Physics. 225, 2, p. 2138-2174 37 p.

Research output: Contribution to journalArticle

Derivatives
grids
Linear systems
Interpolation
Finite difference method

Acoustical study of syllables of Mandarin speech

Shen, S-Y., Wu, J. & Lin, H. C., 1999 Dec 1, In : International Journal of Speech Technology. 3, 1, p. 27-34 8 p.

Research output: Contribution to journalArticle

Acoustic waves
Speech analysis
Fourier series
phonetics
experiment
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
2 Citations (Scopus)

Action of the Johnson-Torelli group on representation varieties

Goldman, W. M. & Xia, E. Z., 2012 Apr 1, In : Proceedings of the American Mathematical Society. 140, 4, p. 1449-1457 9 p.

Research output: Contribution to journalArticle

Torelli Group
Dehn Twist
Character Variety
Mapping Class Group
Symplectic Structure
12 Citations (Scopus)
Klein-Gordon Equation
Local Existence
Dirac Equation
Global Existence
Existence Results

A functional inequality on the boundary of static manifolds

Kwong, K. K. & Miao, P., 2017 Jan 1, In : Asian Journal of Mathematics. 21, 4, p. 687-696 10 p.

Research output: Contribution to journalArticle

Functional Inequalities
Second Fundamental Form
Mean Curvature
Compact Manifold
Riemannian Manifold
1 Citation (Scopus)

A hybrid finite difference method for pricing two-asset double barrier options

Hsiao, Y. L., Shen, S. Y. & Wang, A. M. L., 2015, In : Mathematical Problems in Engineering. 2015, 692695.

Research output: Contribution to journalArticle

Barrier Options
Finite difference method
Difference Method
Pricing
Finite Difference
27 Citations (Scopus)

A kinetic beam scheme for relativistic gas dynamics

Yang, J. Y., Chen, M. H., Tsai, I. N. & Chang, J. W., 1997 Sep 1, In : Journal of Computational Physics. 136, 1, p. 19-40 22 p.

Research output: Contribution to journalArticle

Gas dynamics
gas dynamics
Sanders
Kelvin-Helmholtz instability
Kinetics
1 Citation (Scopus)

A Kinetic Model for a Polyatomic Gas with Temperature-Dependent Specific Heats and Its Application to Shock-Wave Structure

Kosuge, S., Kuo, H. W. & Aoki, K., 2019 Oct 1, In : Journal of Statistical Physics. 177, 2, p. 209-251 43 p.

Research output: Contribution to journalArticle

polyatomic gases
Specific Heat
Kinetic Model
Shock Waves
shock waves
3 Citations (Scopus)

A linear algebra approach to Koethe's problem and related questions

Chebotar, M. A., Ke, W. F., Lee, P. H. & Puczyłowski, E. R., 2013 May 1, In : Linear and Multilinear Algebra. 61, 5, p. 635-645 11 p.

Research output: Contribution to journalArticle

Linear algebra
Nil
Algebra
Infinite Matrices
Tensor Product
1 Citation (Scopus)

An accelerated technique for solving one type of discrete-time algebraic Riccati equations

Lin, M. M. & Chiang, C. Y., 2018 Aug 15, In : Journal of Computational and Applied Mathematics. 338, p. 91-110 20 p.

Research output: Contribution to journalArticle

Positive Definite Solution
Algebraic Riccati Equation
Riccati equations
Discrete-time
Critical Case
Weierstrass Point
Mean Field Equation
Hyperelliptic Curves
Pi
Genus
3 Citations (Scopus)

An algorithm for constructing nonnegative matrices with prescribed real eigenvalues

Lin, M. M., 2015 Apr 1, In : Applied Mathematics and Computation. 256, p. 582-590 9 p.

Research output: Contribution to journalArticle

Inverse Eigenvalue Problem
Nonnegative Matrices
Eigenvalue
Symmetric matrix
Stochastic Matrix
8 Citations (Scopus)

Analysis method for motor characteristics with three-dimensional flux distribution

Tsai, M. C., Huang, C. C. & Shen, S. Y., 2004 Mar 1, In : IEEE Transactions on Magnetics. 40, 2 I, p. 443-450 8 p.

Research output: Contribution to journalArticle

ROM
Videodisks
Fluxes
Torque
Computer aided analysis
2 Citations (Scopus)
Ricci Flow
Euclidean
Metric
26 Citations (Scopus)

An ant colony system-based hybrid algorithm for an emergency roadway repair time-space network flow problem

Yan, S. & Shih, Y. L., 2012 Sep 1, In : Transportmetrica. 8, 5, p. 361-386 26 p.

Research output: Contribution to journalArticle

Repair
time
heuristics
Earthquakes
natural disaster
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
17 Citations (Scopus)

An Asymptotic Limit of a Navier-Stokes System with Capillary Effects

Jüngel, A., Lin, C. K. & Wu, K. C., 2014 Jul, In : Communications in Mathematical Physics. 329, 2, p. 725-744 20 p.

Research output: Contribution to journalArticle

Navier-Stokes System
Asymptotic Limit
Density-dependent Viscosity
Quasi-geostrophic Equations
Coriolis Force
4 Citations (Scopus)

An empirical Bayes approach to evaluation of results for a specific region in multiregional clinical trials

Huang, Y., Chang, W. J. & Hsiao, C. F., 2013 Mar 1, In : Pharmaceutical Statistics. 12, 2, p. 59-64 6 p.

Research output: Contribution to journalArticle

Empirical Bayes
Clinical Trials
Evaluation
Pharmaceutical Preparations
Treatment Effects
10 Citations (Scopus)

A new monotone quantity along the inverse mean curvature flow in ℝn

Kwong, K. K. & Miao, P., 2014 Jan 1, In : Pacific Journal of Mathematics. 267, 2, p. 417-422 6 p.

Research output: Contribution to journalArticle

Mean Curvature Flow
Hypersurface
Monotone
Geometric Inequalities
Sharp Inequality
6 Citations (Scopus)

An example of a right q-ring

Beidar, K. I., Fong, Y., Ke, W-F. & Jain, S. K., 2002 Jan 1, In : Israel Journal of Mathematics. 127, p. 303-316 14 p.

Research output: Contribution to journalArticle

Ring

An expansion theorem for two-dimensional elastic waves and its application

Chen, K. C. & Lin, C. L., 2006 Oct 1, In : Mathematical Methods in the Applied Sciences. 29, 15, p. 1849-1860 12 p.

Research output: Contribution to journalArticle

Elastic Waves
Elastic waves
Helmholtz equation
Phase Velocity
Scattering Amplitude
4 Citations (Scopus)

An Extension of Hsiung–Minkowski Formulas and Some Applications

Kwong, K. K., 2016 Jan 1, In : Journal of Geometric Analysis. 26, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

Hypersurface
Eigenvalue Estimates
Mean Curvature
Submanifolds
Riemannian Manifold
3 Citations (Scopus)

An indirect elastodynamic boundary element method with analytic bases

Shen, S-Y., 2003 Jun 14, In : International Journal for Numerical Methods in Engineering. 57, 6, p. 767-794 28 p.

Research output: Contribution to journalArticle

Elastodynamics
Boundary element method
Boundary Elements
Rayleigh waves
Numerical methods
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
3 Citations (Scopus)

An inverse scattering problem from an impedance obstacle

Lee, K-M., 2007 Nov 10, In : Journal of Computational Physics. 227, 1, p. 431-439 9 p.

Research output: Contribution to journalArticle

inverse scattering
Newton-Raphson method
Inverse problems
Integral equations
Boundary conditions

An inversion formula for some Fock spaces

Cao, B. & Lam, N., 2016 Oct 1, In : Journal of Pure and Applied Algebra. 220, 10, p. 3476-3497 22 p.

Research output: Contribution to journalArticle

Canonical Basis
Inversion Formula
Fock Space
Bilinear form
Computing
15 Citations (Scopus)

An in vitro monitoring system for simulated thermal process in cryosurgery

Yang, W-H., Peng, H. H., Chang, H-C., Shen, S-Y., Wu, C-L. & Chang, C-H., 2000 Jan 1, In : Cryobiology. 40, 2, p. 159-170 12 p.

Research output: Contribution to journalArticle

Cryosurgery
cryosurgery
Hot Temperature
heat
Temperature

An iterative method for solving the stable subspace of a matrix pencil and its application

Lin, M. M. & Chiang, C. Y., 2018 Jul 3, In : Linear and Multilinear Algebra. 66, 7, p. 1279-1298 20 p.

Research output: Contribution to journalArticle

Matrix Pencil
Subspace
Iteration
Square root
Matrix Square Root

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
1 Citation (Scopus)

A note on a generalization of the multiple cover formula and the simple flop

Cheong, W-K., 2012 Dec 1, In : Communications in Algebra. 40, 12, p. 4575-4587 13 p.

Research output: Contribution to journalArticle

Genus
Cover
Stable Map
Gromov-Witten Invariants
Curve
2 Citations (Scopus)

A note on Sylvester-type equations

Lin, M. M. & Chiang, C. Y., 2015 May 1, In : Journal of the Franklin Institute. 352, 5, p. 2171-2186 16 p.

Research output: Contribution to journalArticle

Sylvester Matrix Equation
Subspace
Sylvester Equation
Matrix Pencil
Generalized Eigenvalue Problem
7 Citations (Scopus)

An SDP approach for quadratic fractional problems with a two-sided quadratic constraint

Nguyen, V. B., Sheu, R-L. & Xia, Y., 2016 Jul 3, In : Optimization Methods and Software. 31, 4, p. 701-719 19 p.

Research output: Contribution to journalArticle

Quadratic Constraint
Fractional Programming
Quadratic Function
Lemma
Equality
4 Citations (Scopus)

A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows

Liu, Y-Y., Xin, J. & Yu, Y., 2013 Jan 15, In : Physica D: Nonlinear Phenomena. 243, 1, p. 20-31 12 p.

Research output: Contribution to journalArticle

turbulent flames
curvature
partial differential equations
parabolic differential equations
Hamilton-Jacobi equation
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
12 Citations (Scopus)

Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves

Lin, Y-C. & Tsai, D. H., 2012 Jun 27, In : Journal of Evolution Equations. 12, 4, p. 833-854 22 p.

Research output: Contribution to journalArticle

Convex Curve
Plane Curve
Circle
Curvature
Converge
14 Citations (Scopus)

Application of polynomial method to on-line list colouring of graphs

Huang, P-Y., Wong, T. L. & Zhu, X., 2012 Jul 1, In : European Journal of Combinatorics. 33, 5, p. 872-883 12 p.

Research output: Contribution to journalArticle

List Coloring
Polynomial Methods
Graph in graph theory
Complete multipartite Graph
Monomial
6 Citations (Scopus)

A primal-dual infeasible-interior-point algorithm for linear semi-infinite programming

Sheu, R-L., Wu, S. Y. & Fang, S. C., 1995 Jan 1, In : Computers and Mathematics with Applications. 29, 8, p. 7-18 12 p.

Research output: Contribution to journalArticle

Linear Semi-infinite Programming
Interior-point Algorithm
Primal-dual
Infeasible Interior Point Method
Computational efficiency
1 Citation (Scopus)

Apriori estimates for the 2-D wave equation

Fang, Y. F. & Grillakis, M. G., 1996 Dec 1, In : Communications in Partial Differential Equations. 21, 9-10, p. 1643-1665 23 p.

Research output: Contribution to journalArticle

Wave equations
Wave equation
Estimate
11 Citations (Scopus)

A proof of the finite field analogue of Jacquet's conjecture

Nien, C., 2014 Jan 1, In : American Journal of Mathematics. 136, 3, p. 653-674 22 p.

Research output: Contribution to journalArticle

Galois field
Denote
Analogue
General Linear Group
Irreducible Representation
2 Citations (Scopus)

A property of the Brown-York mass in Schwarzschild manifolds

Fan, X. Q. & Kwong, K. K., 2013 Apr 15, In : Journal of Mathematical Analysis and Applications. 400, 2, p. 615-623 9 p.

Research output: Contribution to journalArticle

Radius
Family
7 Citations (Scopus)

A pseudospectral penalty scheme for 2D isotropic elastic wave computations

Feng, K. A., Teng, C. H. & Chen, M. H., 2007 Dec 1, In : Journal of Scientific Computing. 33, 3, p. 313-348 36 p.

Research output: Contribution to journalArticle

Elastic Waves
Elastic waves
Penalty
Boundary conditions
Wave equations
4 Citations (Scopus)
Tangent Bundle
Projective Variety
Simplicity
Ring of Differential Operators
Ring
1 Citation (Scopus)

A remark on the harnack inequality for non-self-adjoint evolution equations

Chen, R. R-C., 2001 Dec 1, In : Proceedings of the American Mathematical Society. 129, 7, p. 2163-2173 11 p.

Research output: Contribution to journalArticle

Harnack Inequality
Adjoint Equation
Manifolds with Boundary
Neumann Boundary Conditions
Compact Manifold

A remark on the two dimensional water wave problem with surface tension

Shao, S. & Shih, H-W., 2019 Apr 15, In : Journal of Differential Equations. 266, 9, p. 5748-5771 24 p.

Research output: Contribution to journalArticle

Water waves
Water Waves
Surface Tension
Surface tension
Air