Research Output 1987 2020

2001
3 Citations (Scopus)

Extensions of modules over supercurrent conformal algebras

Lam, N., 2001 Jan 1, In : Communications in Algebra. 29, 7, p. 3061-3068 8 p.

Research output: Contribution to journalArticle

Conformal Algebra
Classify
Current Algebra
Module
Irreducible Module
7 Citations (Scopus)

Finite conformal modules over N=2,3,4 superconformal algebras

Cheng, S. J. & Lam, N., 2001 Feb, In : Journal of Mathematical Physics. 42, 2, p. 906-933 28 p.

Research output: Contribution to journalArticle

algebra
modules
Module
Algebra
Singular Vectors
13 Citations (Scopus)

Nonequivalence transformation of λ-matrix eigenproblems and model embedding approach to model tuning

Ferng, W. R., Lin, W. W., Pierce, D. J. & Wang, C. S., 2001 Dec 1, In : Numerical Linear Algebra with Applications. 8, 1, p. 53-70 18 p.

Research output: Contribution to journalArticle

Eigenproblem
Tuning
Eigenvalue
Matrix Polynomial
Preservation
11 Citations (Scopus)

Numerical computation of the minimal H norm of the discrete-time output feedback control problem

Lin, W. W., Wang, C. S. & Xu, Q. F., 2001 Dec 1, In : SIAM Journal on Numerical Analysis. 38, 2, p. 515-547 33 p.

Research output: Contribution to journalArticle

Output Feedback Control
Numerical Computation
Feedback control
Control Problem
Discrete-time
5 Citations (Scopus)

On stop-loss strategies for stock investments

Shen, S. Y. & Wang, A. M., 2001 Apr 15, In : Applied Mathematics and Computation. 119, 2-3, p. 317-337 21 p.

Research output: Contribution to journalArticle

Boundary Value Problem
Loss Probability
Boundary value problems
Expected Value
Probability density function
7 Citations (Scopus)

Synchronization in lattices of coupled oscillators with various boundary conditions

Chiu, C. H., Lin, W. W. & Wang, C-S., 2001 Oct 1, In : Nonlinear Analysis, Theory, Methods and Applications. 46, 2, p. 213-229 17 p.

Research output: Contribution to journalArticle

Lattice System
Coupled Oscillators
Synchronization
Boundary conditions
Van Der Pol Oscillator
2000
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
9 Citations (Scopus)

Moduli of Vector Bundles on Curves in Positive Characteristics

Joshi, K. & Xia, E. Z., 2000 Jan 1, In : Compositio Mathematica. 122, 3, p. 315-321 7 p.

Research output: Contribution to journalArticle

Positive Characteristic
Frobenius
Vector Bundle
Modulus
Curve
5 Citations (Scopus)

Nonexistence of derivations on transformation near-rings

Fongand, Y., Ke, W. F. & Wang, C. S., 2000 Dec 1, In : Communications in Algebra. 28, 3, p. 1423-1428 6 p.

Research output: Contribution to journalArticle

Near-ring
Nonexistence
1 Citation (Scopus)

On Stekloff eigenvalue problem

Chen, R. & Sung, C. J., 2000 Oct, In : Pacific Journal of Mathematics. 195, 2, p. 277-296 20 p.

Research output: Contribution to journalArticle

Eigenvalue Problem
Second Fundamental Form
Lower bound
Eigenvalue
Unit normal vector
25 Citations (Scopus)

The moduli of flat PU(2,1) structures on Riemann surfaces

Xia, E. Z., 2000 Sep, In : Pacific Journal of Mathematics. 195, 1, p. 231-256 26 p.

Research output: Contribution to journalArticle

Riemann Surface
Modulus
Connected Components
Invariant
Higgs Bundles
7 Citations (Scopus)

Topological dynamics on moduli spaces, I

Previte, J. P. & Xia, E. Z., 2000 Apr, In : Pacific Journal of Mathematics. 193, 2, p. 397-417 21 p.

Research output: Contribution to journalArticle

Topological Dynamics
Mapping Class Group
Holonomy
Equivalence class
Moduli Space
1999

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

Harmonic Maps into the Moduli Spaces of Flat Connections

Hong, Y-J., 1999 Jan 1, In : Annals of Global Analysis and Geometry. 17, 5, p. 441-473 33 p.

Research output: Contribution to journalArticle

Flat Connection
Harmonic Maps
Moduli Space
Yang-Mills
Tend
16 Citations (Scopus)

Hyperbolic conservation laws with a moving source

Lien, W-C., 1999 Jan 1, In : Communications on Pure and Applied Mathematics. 52, 9, p. 1075-1098 24 p.

Research output: Contribution to journalArticle

Hyperbolic Conservation Laws
Conservation
Shock Waves
Shock waves
Glimm Scheme
47 Citations (Scopus)

Nonlinear stability of a self-similar 3-dimensional gas flow

Lien, W-C. & Liu, T. P., 1999 Jan 1, In : Communications in Mathematical Physics. 204, 3, p. 525-549 25 p.

Research output: Contribution to journalArticle

Nonlinear Stability
Gas Flow
gas flow
Supersonic Flow
Nonlinear Interaction
8 Citations (Scopus)

Numerical algorithms for undamped gyroscopic systems

Ferng, W. R., Lin, W. W. & Wang, C-S., 1999 Jan 1, In : Computers and Mathematics with Applications. 37, 1, p. 49-66 18 p.

Research output: Contribution to journalArticle

Numerical Algorithms
Lanczos Algorithm
Skew
Quadratic Eigenvalue Problem
Lanczos
37 Citations (Scopus)

Numerical study of inverse heat conduction problems

Shen, S. Y., 1999 Oct, In : Computers and Mathematics with Applications. 38, 7, p. 173-188 16 p.

Research output: Contribution to journalArticle

Inverse Heat Conduction Problem
Heat conduction
Numerical Study
Collocation Method
Singular value decomposition

On Heat Kernel Comparison Theorems

Chen, R., 1999 Jun 20, In : Journal of Functional Analysis. 165, 1, p. 59-79 21 p.

Research output: Contribution to journalArticle

Heat Kernel
Comparison Theorem
Minimal Submanifolds
Space Form
Symmetric Spaces
2 Citations (Scopus)

On semi-endomorphisms of groups

Beidar, K. I., Fong, Y., Ke, W. F. & Wu, W. R., 1999 Dec 1, In : Communications in Algebra. 27, 5, p. 2193-2205 13 p.

Research output: Contribution to journalArticle

Endomorphism
Endomorphisms
Near-ring
Automorphism
Finite Simple Group
3 Citations (Scopus)

On the computation of the optimal H norms for two feedback control problems

Lin, W. W., Wang, C-S. & Xu, Q. F., 1999 Jan 15, In : Linear Algebra and Its Applications. 287, 1-3, p. 223-255 33 p.

Research output: Contribution to journalArticle

State feedback
State Feedback
Feedback Control
Feedback control
Control Problem
11 Citations (Scopus)

Synchronization in coupled map lattices with periodic boundary condition

Lin, W. W., Peng, C. C. & Wang, C. S., 1999 Aug, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 9, 8, p. 1635-1652 18 p.

Research output: Contribution to journalArticle

Coupled Map Lattices
Periodic Boundary Conditions
Synchronization
Boundary conditions
Logistic map
7 Citations (Scopus)

The moduli of flat PGL(2, ℝ) connections on riemann surfaces

Xia, E. Z., 1999 Jan 1, In : Communications in Mathematical Physics. 203, 3, p. 531-549 19 p.

Research output: Contribution to journalArticle

Vector Bundle
Riemann Surface
Connected Components
Open set
Torus
1998
7 Citations (Scopus)

On Complemented Radicals

Beidar, K. I., Fong, Y. & Ke, W. F., 1998 Mar 1, In : Journal of Algebra. 201, 1, p. 328-356 29 p.

Research output: Contribution to journalArticle

Semisimple
Ring
Direct Sum
Finitely Generated
Cover

On global Schrödinger kernel estimate and eigenvalue problem

Chen, R., 1998 Jan, In : Mathematische Zeitschrift. 227, 1, p. 69-81 13 p.

Research output: Contribution to journalArticle

Kernel Estimate
Schrödinger
Eigenvalue Problem
10 Citations (Scopus)

Ruled manifolds with constant Hermitian scalar curvature

Hong, Y. J., 1998 Jan 1, In : Mathematical Research Letters. 5, 5, p. 657-673 17 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Synchronization in a lattice of coupled van der Pol systems

Chiu, C. H., Lin, W. W. & Wang, C. S., 1998 Dec, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 8, 12, p. 2353-2373 21 p.

Research output: Contribution to journalArticle

Synchronization
Coefficient
Dirichlet Boundary Conditions
Boundary conditions
Numerical Simulation
1997
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
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

1 Citation (Scopus)

Counting f such that f o g = g o f

Bouchard, P., Fong, Y., Ke, W-F. & Yeh, Y. N., 1997 Mar 1, In : Results in Mathematics. 31, 1-2, p. 14-27 14 p.

Research output: Contribution to journalArticle

Counting
Endomorphisms
Commute
Finite Set
24 Citations (Scopus)

Duality for fractional minimax programming

Liu, J. C., Wu, C. S. & Sheu, R-L., 1997 Jan 1, In : Optimization. 41, 2, p. 117-133 17 p.

Research output: Contribution to journalArticle

Generalized Convex Functions
Kuhn-Tucker Conditions
Quasiconvex Functions
Fractional Programming
Pseudoconvex

Gap estimates of Schrödinger operator

Chen, R., 1997 Apr, In : Pacific Journal of Mathematics. 178, 2, p. 225-240 16 p.

Research output: Contribution to journalArticle

Eigenfunctions
Moser Iteration
Operator
Neumann Boundary Conditions
Estimate
7 Citations (Scopus)

On computing stable Lagrangian subspaces of Hamiltonian matrices and symplectic pencils

Lin, W. W. & Wang, C. S., 1997 Jul, In : SIAM Journal on Matrix Analysis and Applications. 18, 3, p. 590-614 25 p.

Research output: Contribution to journalArticle

Hamiltonian Matrix
Subspace
Computing
Eigenvalue
Linear Quadratic Control
12 Citations (Scopus)

On poincaré type inequalities

Chen, R. & Peter, L. I., 1997 Dec 1, In : Transactions of the American Mathematical Society. 349, 4, p. 1561-1585 25 p.

Research output: Contribution to journalArticle

Heat Kernel
Stars
Star
Lower bound
Eigenvalue
11 Citations (Scopus)

Optimality and duality for complex nondifferentiable fractional programming

Liu, J. C., Lin, C. C. & Sheu, R-L., 1997 Jun 15, In : Journal of Mathematical Analysis and Applications. 210, 2, p. 804-824 21 p.

Research output: Contribution to journalArticle

Nondifferentiable Programming
Fractional Programming
Optimality
Duality
Generalized Convex Functions
1 Citation (Scopus)

Structure-preserving Lanczos-type algorithm with application to control problems

Ferng, W. R., Lin, W. W. & Wang, C-S., 1997 Dec 1, In : Proceedings of the IEEE Conference on Decision and Control. 4, p. 3855-3860 6 p.

Research output: Contribution to journalConference article

Hamiltonians
Lanczos
Continuous Time
Control Problem
Lanczos Algorithm
18 Citations (Scopus)

The shift-inverted J-Lanczos algorithm for the numerical solutions of large sparse algebraic Riccati equations

Ferng, W. R., Lin, W. W. & Wang, C-S., 1997 Jan 1, In : Computers and Mathematics with Applications. 33, 10, p. 23-40 18 p.

Research output: Contribution to journalArticle

Lanczos Algorithm
Algebraic Riccati Equation
Riccati equations
Hamiltonian Matrix
Numerical Solution
1996
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
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
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
42 Citations (Scopus)

Existence and uniqueness for boussinesq type equations on a circle

Fang, Y-F. & Grillakis, M. G., 1996 Jan 1, In : Communications in Partial Differential Equations. 21, 7-8, p. 1253-1277 25 p.

Research output: Contribution to journalArticle

Local Existence
Fourier series
Global Existence
Existence Results
Circle
3 Citations (Scopus)

On finite circular planar nearrings

Beidar, K., Fong, Y. & Ke, W. F., 1996 Nov 1, In : Journal of Algebra. 185, 3, p. 688-709 22 p.

Research output: Contribution to journalArticle

Near-ring
Free Group
Automorphisms
Fixed point
1995
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

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
3 Citations (Scopus)

Nearring Multiplications on Groups

Beidar, K., Ke, W. F. & Liang, S. Y., 1995 Jan, In : Communications in Algebra. 23, 3, p. 999-1015 17 p.

Research output: Contribution to journalArticle

Near-ring
Multiplication
Centralizer
Model Theory
Endomorphism
15 Citations (Scopus)

Nonequivalence deflation for the solution of matrix latent value problems

Guo, J. S., Lin, W. W. & Wang, C-S., 1995 Jan 1, In : Linear Algebra and Its Applications. 231, 1, p. 15-45 31 p.

Research output: Contribution to journalArticle

Deflation
Newton-Raphson method
Latent Root
Matrix Function
Newton Methods
20 Citations (Scopus)

Numerical solutions for large sparse quadratic eigenvalue problems

Guo, J. S., Lin, W. W. & Wang, C. S., 1995 Aug, In : Linear Algebra and Its Applications. 225, C, p. 57-89 33 p.

Research output: Contribution to journalArticle

Quadratic Eigenvalue Problem
Numerical Solution
Iterative methods
Eigenvalue
Eigenvalues and eigenfunctions

On arithmetical varieties of near-rings

Fong, Y., Kaarli, K. & Ke, W. F., 1995 May 1, In : Archiv der Mathematik. 64, 5, p. 385-392 8 p.

Research output: Contribution to journalArticle

Near-ring