Research Output 1987 2020

2005
8 Citations (Scopus)

Modified Dinkelbach-type algorithm for generalized fractional programs with infinitely many ratios

Lin, J. Y. & Sheu, R-L., 2005 Aug 1, In : Journal of Optimization Theory and Applications. 126, 2, p. 323-343 21 p.

Research output: Contribution to journalArticle

Fractional
Min-max Problem
Linear Convergence
Regularization Method
Min-max

On a system of Dirac-Klein-Gordon type in 1+1 dimensions

Chen, T. J. & Fang, Y-F., 2005 Jan 1, In : Taiwanese Journal of Mathematics. 9, 3, p. 489-499 11 p.

Research output: Contribution to journalArticle

Bilinear form
Type Systems
Global Existence
Paul Adrien Maurice Dirac
Existence Results
1 Citation (Scopus)

On certain power-associative, Lie-admissible subalgebras of matrix algebras

Beidar, K. I., Chebotar, M. A., Fong, Y. & Ke, W-F., 2005 Dec 1, In : Journal of Mathematical Sciences. 131, 5, p. 5939-5947 9 p.

Research output: Contribution to journalArticle

Matrix Algebra
Subalgebra
Functional Identity
Lie Ideal
Algebra
11 Citations (Scopus)

On maps preserving products

Chebotar, M. A., Ke, W. F., Lee, P. H. & Shiao, L. S., 2005 Sep, In : Canadian Mathematical Bulletin. 48, 3, p. 355-369 15 p.

Research output: Contribution to journalArticle

Functional Analysis
Linear algebra
Ring
Relationships
17 Citations (Scopus)

On maps preserving square-zero matrices

Chebotar, M. A., Ke, W-F. & Lee, P. H., 2005 Jul 15, In : Journal of Algebra. 289, 2, p. 421-445 25 p.

Research output: Contribution to journalArticle

Zero matrix
Square matrix
7 Citations (Scopus)

On the Dirac-Klein-Gordon equations in three space dimensions

Fang, Y. FU. & Grillakis, M., 2005 Aug 18, In : Communications in Partial Differential Equations. 30, 4-6, p. 783-812 30 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Local Existence
Dirac Equation
Existence Results
Null
8 Citations (Scopus)

Strong unique continuation for the Lamé system with Lipschitz coefficients

Lin, C. L. & Wang, J. N., 2005 Mar 1, In : Mathematische Annalen. 331, 3, p. 611-629 19 p.

Research output: Contribution to journalArticle

Unique Continuation
Lipschitz
Carleman Estimate
First-order System
Elliptic Systems
4 Citations (Scopus)
Unique Continuation
Hyperbolic Systems
Hypersurface
Curve
Coefficient
2004
12 Citations (Scopus)
Klein-Gordon Equation
Local Existence
Dirac Equation
Global Existence
Existence Results
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
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
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
4 Citations (Scopus)

Low regularity solutions for Dirac-Klein-Gordon equations in one space dimension

Fang, Y-F., 2004 Aug 27, In : Electronic Journal of Differential Equations. 2004, p. 1-19 19 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Local Solution
Dirac Equation
Global Solution
Null
77 Citations (Scopus)

Maps characterized by action on zero products

Chebotar, M. A., Ke, W. F. & Lee, P. H., 2004 Oct, In : Pacific Journal of Mathematics. 216, 2, p. 217-228 12 p.

Research output: Contribution to journalArticle

Prime Ring
Zero
Bijective
Idempotent
16 Citations (Scopus)

New lagrangian submanifolds of ℂℙn

Chiang, M-J., 2004 Dec 1, In : International Mathematics Research Notices. 45, p. 2437-2441 5 p.

Research output: Contribution to journalArticle

Lagrangian Submanifold

On matrix rings and subhereditary radicals

Beidar, K. I., Ke, W. F. & Puczylowski, E. R., 2004 Dec 1, In : Communications in Algebra. 32, 7, p. 2827-2839 13 p.

Research output: Contribution to journalArticle

Matrix Ring
Prime Radical
Free Algebras
Open Problems
Ring
141 Citations (Scopus)

On the convergence of a population-based global optimization algorithm

Ilker Birbil, Ş., Fang, S. C. & Sheu, R. L., 2004 Nov 1, In : Journal of Global Optimization. 30, 2-3, p. 301-318 18 p.

Research output: Contribution to journalArticle

Electromagnetism
Global optimization
Global Optimization
Optimization Algorithm
Sample point

On the Dirac-Klein-Gordon Equations in One Space Dimension

Fang, Y-F., 2004, In : Differential and Integral Equations. 17, 11-12, p. 1321-1346

Research output: Contribution to journalArticle

16 Citations (Scopus)

Solving continuous min-max problems by an iterative entropic regularization method

Sheu, R. L. & Lin, J. Y., 2004 Jun 1, In : Journal of Optimization Theory and Applications. 121, 3, p. 597-612 16 p.

Research output: Contribution to journalArticle

Min-max Problem
Regularization Method
Regularization
Outer Approximation
Interior-point Algorithm
6 Citations (Scopus)

Strong unique continuation for an elasticity system with residual stress

Lin, C. L., 2004 Jul 12, In : Indiana University Mathematics Journal. 53, 2, p. 557-582 26 p.

Research output: Contribution to journalArticle

Unique Continuation
Residual Stress
Elasticity
Carleman Estimate
Singularity
64 Citations (Scopus)

Structure-preserving algorithms for periodic discrete-time algebraic Riccati equations

Chu, E. K. W., Fan, H. Y., Lin, W. W. & Wang, C-S., 2004 May 20, In : International Journal of Control. 77, 8, p. 767-788 22 p.

Research output: Contribution to journalArticle

Riccati equations
9 Citations (Scopus)

The speed of ice growth as an important indicator in cryosurgery.

Yang, W-H., Liao, S. T., Shen, S-Y. & Chang, H-C., 2004 Jan 1, In : The Journal of urology. 172, 1, p. 345-348 4 p.

Research output: Contribution to journalArticle

Cryosurgery
Ice
Growth
Cell Death
Temperature
16 Citations (Scopus)

Zero product preserving maps of operator-valued functions

Ke, W. F., Li, B. R. & Wong, N. C., 2004 Jul 1, In : Proceedings of the American Mathematical Society. 132, 7, p. 1979-1985 7 p.

Research output: Contribution to journalArticle

Banach algebra
Algebra
Mathematical operators
W-algebras
Compact Hausdorff Space
2003
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
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
7 Citations (Scopus)

Ergodicity of mapping class group actions on representation varieties, II. Surfaces with boundary

Pickrell, D. & Xia, E. Z., 2003 Jan 1, In : Transformation Groups. 8, 4, p. 397-402 6 p.

Research output: Contribution to journalArticle

Mapping Class Group
Compact Lie Group
Conjugacy class
Ergodicity
Group Action
4 Citations (Scopus)

Exceptional discrete mapping class group orbits in moduli spaces

Previte, J. P. & Xia, E. Z., 2003 Jan 1, In : Forum Mathematicum. 15, 6, p. 949-954 6 p.

Research output: Contribution to journalArticle

Equivalence classes
Mapping Class Group
Moduli Space
Gages
Orbits
16 Citations (Scopus)

Extension of unitary virasoro vertex operator algebra by a simple module

Lam, C. H., Lam, N. & Yamauchi, H., 2003 Jan 1, In : International Mathematics Research Notices. 11, p. 577-611 35 p.

Research output: Contribution to journalArticle

Vertex Operator Algebras
Simple Module
9 Citations (Scopus)

Infinite-dimensional Lie superalgebras and hook Schur functions

Cheng, S. J. & Lam, N., 2003 Jul, In : Communications in Mathematical Physics. 238, 1-2, p. 95-118 24 p.

Research output: Contribution to journalArticle

Schur Functions
hooks
Lie Superalgebra
Character Formula
modules
30 Citations (Scopus)

Integral equation methods for scattering from an impedance crack

Kress, R. & Lee, K. M., 2003 Dec 1, In : Journal of Computational and Applied Mathematics. 161, 1, p. 161-177 17 p.

Research output: Contribution to journalArticle

Trigonometric Interpolation
Double Layer Potential
Single Layer Potential
System of Integral Equations
Integral Equation Method
76 Citations (Scopus)

Mappings preserving zero products

Chebotar, M. A., Ke, W. F., Lee, P. H. & Wong, N. C., 2003 Jan 1, In : Studia Mathematica. 155, 1, p. 77-94 18 p.

Research output: Contribution to journalArticle

Standard Operator Algebra
Central Element
W-algebras
Algebra
Matrix Algebra
2 Citations (Scopus)

Maximum feasibility problem for continuous linear inequalities with applications to fuzzy linear programming

Jan, G. M., Sheu, R. L. & Wu, S. Y., 2003 Dec 1, In : Fuzzy Optimization and Decision Making. 2, 4, p. 297-316 20 p.

Research output: Contribution to journalArticle

Fuzzy Linear Programming
Linear programming
Linear Inequalities
Bisection Method
Bisection
1 Citation (Scopus)

On bi-additive maps of some Lie algebras

Ke, W-F. & Chebotar, M. A., 2003 Jan 1, In : Russian Mathematical Surveys. 58, 1, p. 183-184 2 p.

Research output: Contribution to journalReview article

Lie Algebra
12 Citations (Scopus)

On skew-symmetric maps on Lie algebras

Chebotar, M. A. & Ke, W-F., 2003 Dec 1, In : Royal Society of Edinburgh - Proceedings A. 133, 6, p. 1273-1281 9 p.

Research output: Contribution to journalArticle

Associative Algebra
Skew
Subalgebra
Lie Algebra
7 Citations (Scopus)

The Moduli of Flat U(p, 1) Structures on Riemann Surfaces

Xia, E. Z., 2003 Mar 1, In : Geometriae Dedicata. 97, 1, p. 33-43 11 p.

Research output: Contribution to journalArticle

Riemann Surface
Connected Components
Modulus
Invariant
Semisimple
9 Citations (Scopus)

Transformations, regression geometry and R2

Huang, Y. & Draper, N. R., 2003 Apr 28, In : Computational Statistics and Data Analysis. 42, 4, p. 647-664 18 p.

Research output: Contribution to journalArticle

Regression
Statistics
Statistic
Geometry
Least Squares
13 Citations (Scopus)

Uniqueness in inverse problems for an elasticity system with residual stress by a single measurement

Lin, C-L. & Wang, J. N., 2003 Aug, In : Inverse Problems. 19, 4, p. 807-820 14 p.

Research output: Contribution to journalArticle

Residual Stress
Inverse problems
Elasticity
Residual stresses
Inverse Problem
2002
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
13 Citations (Scopus)

Ergodicity of mapping class group actions on representation varieties, I. Closed surfaces

Pickrell, D. & Xia, E. Z., 2002 Jan 1, In : Commentarii Mathematici Helvetici. 77, 2, p. 339-362 24 p.

Research output: Contribution to journalArticle

Mapping Class Group
Compact Lie Group
Ergodicity
Group Action
Connected Components
10 Citations (Scopus)

Gauge-fixing constant scalar curvature equations on ruled manifolds and the futaki invariants

Hong, Y-J., 2002 Jan 1, In : Journal of Differential Geometry. 60, 3, p. 389-453 65 p.

Research output: Contribution to journalArticle

Constant Scalar Curvature
Gauge
Invariant
Kaehler Manifold
Holomorphic Vector Field
1 Citation (Scopus)

Maximal Right Nearring of Quotients and Semigroup Generalized Polynomial Identity

Beidar, K. I., Fong, Y. & Ke, W-F., 2002 Aug 1, In : Results in Mathematics. 42, 1-2, p. 12-27 16 p.

Research output: Contribution to journalArticle

Generalized Polynomial Identity
Near-ring
Quotient
Semigroup
Polynomials
10 Citations (Scopus)

On essential extensions of direct sums of injective modules

Beidar, K. I. & Ke, W-F., 2002 Feb 1, In : Archiv der Mathematik. 78, 2, p. 120-123 4 p.

Research output: Contribution to journalArticle

Injective Module
Direct Sum
Injective
Module
Noetherian
4 Citations (Scopus)

On graded polynomial identities with an antiautomorphism

Beidar, K. I., Chen, T. S., Fong, Y. & Ke, W. F., 2002 Oct 15, In : Journal of Algebra. 256, 2, p. 542-555 14 p.

Research output: Contribution to journalArticle

Polynomial Identities
Graded Algebra
Associative Algebra
Grading
Monoid
3 Citations (Scopus)

On nil subsemigroups of rings with group identities

Beidar, K. I., Ke, W-F. & Liu, C. H., 2002 Jan 1, In : Communications in Algebra. 30, 1, p. 347-352 6 p.

Research output: Contribution to journalArticle

Nil
Ring
Unital
Integer
1 Citation (Scopus)

On subhereditary radicals and reduced rings

Beidar, K. I., Ke, W. F. & Puczyłowski, E. R., 2002 Dec 1, In : Royal Society of Edinburgh - Proceedings A. 132, 2, p. 255-266 12 p.

Research output: Contribution to journalArticle

Reduced Ring
Open Problems
Ring
Closed
Class
11 Citations (Scopus)

The moduli of flat PU(p, p)-structures with large Toledo invariants

Markman, E. & Xia, E. Z., 2002 May 1, In : Mathematische Zeitschrift. 240, 1, p. 95-109 15 p.

Research output: Contribution to journalArticle

Modulus
Chern Classes
Invariant
Riemann Surface
Moduli Space
7 Citations (Scopus)

Topological dynamics on moduli spaces II

Previte, J. P. & Xia, E. Z., 2002 Jan 1, In : Transactions of the American Mathematical Society. 354, 6, p. 2475-2494 20 p.

Research output: Contribution to journalArticle

Topological Dynamics
Equivalence classes
Mapping Class Group
Holonomy
Equivalence class
2001
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 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
3 Citations (Scopus)

Dynamic optimal control policy in advertising price and quality

Lin, C., Shen, S. Y., Yeh, Y. J. & Ding, J. R., 2001 Feb, In : International Journal of Systems Science. 32, 2, p. 175-184 10 p.

Research output: Contribution to journalArticle

Dynamic Control
Control Policy
Optimal Policy
Profit
Marketing