Research Output 1987 2020

2014
1 Citation (Scopus)

Planar nearrings on the Euclidean plane

Ke, W-F., Kiechle, H., Pilz, G. & Wendt, G., 2014 Oct 10, In : Journal of Geometry. 105, 3, p. 577-599 23 p.

Research output: Contribution to journalArticle

Near-ring
Euclidean plane
Group Action
Geometric Structure
Automorphisms
8 Citations (Scopus)

Pointwise behavior of the linearized Boltzmann equation on a torus

Wu, K. C., 2014 Mar 28, In : SIAM Journal on Mathematical Analysis. 46, 1, p. 639-656 18 p.

Research output: Contribution to journalArticle

Boltzmann equation
Boltzmann Equation
Torus
Kinetics
Decay Rate
9 Citations (Scopus)

Quantitative uniqueness estimates for the general second order elliptic equations

Lin, C-L. & Wang, J. N., 2014 Apr 15, In : Journal of Functional Analysis. 266, 8, p. 5108-5125 18 p.

Research output: Contribution to journalArticle

Second Order Elliptic Equations
Electric Potential
Uniqueness
Lower bound
Bootstrapping
3 Citations (Scopus)

Radical subgroups of the finite exceptional groups of Lie type E6

An, J., Dietrich, H. & Huang, S-C., 2014 Jul 1, In : Journal of Algebra. 409, p. 387-429 43 p.

Research output: Contribution to journalArticle

Groups of Lie Type
Subgroup
P-rank
Conjugacy
Frobenius
3 Citations (Scopus)

Rigidity of time-flat surfaces in the Minkowski spacetime

Chen, P. N., Wang, M. T. & Wang, Y. K., 2014 Jan 1, In : Mathematical Research Letters. 21, 6, p. 1227-1240 14 p.

Research output: Contribution to journalArticle

Rigidity
Space-time
Slice
Torsion
High-dimensional
2 Citations (Scopus)

Stochastic Wave Propagation in Maxwell’s Equations

Liu, G-R., 2014 Jan 1, In : Journal of Statistical Physics. 158, 5, p. 1126-1146 21 p.

Research output: Contribution to journalArticle

Source Terms
Maxwell's equations
Maxwell equation
Wave Propagation
Electromagnetic Fields

The lie derivative and the exterior derivative connecting with linear connection on algebra

Quang, N. H., Van, B. C. & Tuoi, D. T., 2014 Jan 1, In : Applied Mathematical Sciences. 8, 125-128, p. 6223-6235 13 p.

Research output: Contribution to journalArticle

Lie Derivative
Linear Connection
Algebra
Derivatives
Derivative
2013
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
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
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
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)

Augmented lagrange primal-dual approach for generalized fractional programming problems

Lin, J. Y., Chen, H. J. & Sheu, R. L., 2013 Sep 30, In : Journal of Industrial and Management Optimization. 9, 4, p. 723-741 19 p.

Research output: Contribution to journalArticle

Generalized Fractional Programming
Primal-dual
Min-max
Lagrange
Lagrange Method
1 Citation (Scopus)
Electroporation
Ventricular Tachycardia
Cardiac Myocytes
Computer Simulation
Shock
4 Citations (Scopus)

Doubling inequalities for anisotropic plate equations and applications to size estimates of inclusions

Di Cristo, M., Lin, C-L., Morassi, A., Rosset, E., Vessella, S. & Wang, J. N., 2013 Dec 1, In : Inverse Problems. 29, 12, 125012.

Research output: Contribution to journalArticle

Plate Equation
Doubling
Inclusion
Fourth Order Elliptic Equation
Estimate
6 Citations (Scopus)

Free Molecular Flow with Boundary Effect

Kuo, H. W., Liu, T. P. & Tsai, L. C., 2013 Feb 11, In : Communications in Mathematical Physics. 318, 2, p. 375-409 35 p.

Research output: Contribution to journalArticle

free molecular flow
Boundary Effect
boundary conditions
Bounded Symmetric Domain
Boundary conditions
3 Citations (Scopus)

Generalized Shalika models of p-adic SO4n and functoriality

Jiang, D., Nien, C. & Qin, Y., 2013 Jan 1, In : Israel Journal of Mathematics. 195, 1, p. 135-169 35 p.

Research output: Contribution to journalArticle

P-adic
Spherical Varieties
Dual Group
P-adic Fields
Local Field

Influence analysis on the direction of optimal response

Huang, Y. & Wang, S. W., 2013 Apr 1, In : Statistics and Probability Letters. 83, 4, p. 1287-1299 13 p.

Research output: Contribution to journalArticle

Influence Analysis
Ridge
Perturbation
Influence Function
Response Surface Methodology
2 Citations (Scopus)

Moduli Spaces and Grassmannian

Liou, J. M. F. & Schwarz, A., 2013 Jun 1, In : Letters in Mathematical Physics. 103, 6, p. 585-603 19 p.

Research output: Contribution to journalArticle

Moduli Space of Curves
Grassmannian
homology
Moduli Space
Weierstrass Point
2 Citations (Scopus)

On an Inequality of Andrews, De Lellis, and Topping

Kwong, K. K., 2013 Jan 1, In : Journal of Geometric Analysis. 25, 1, p. 108-121 14 p.

Research output: Contribution to journalArticle

Curvature Tensor
Calculus of variations
Mean Curvature
Submanifolds
Equality
6 Citations (Scopus)

On the Decomposition Numbers of Steinberg's Triality Groups 3D4(2n) in Odd Characteristics

Himstedt, F. & Huang, S. C., 2013 Apr 1, In : Communications in Algebra. 41, 4, p. 1484-1498 15 p.

Research output: Contribution to journalArticle

Modular Decomposition
Irreducible Representation
Odd
Classify
Decompose

On the F-rationality and cohomological properties of matrix schubert varieties

Hsiao, J-C., 2013, In : Illinois Journal of Mathematics. 57, 1, p. 1-15 15 p.

Research output: Contribution to journalArticle

Schubert Varieties
Rationality
Rational Singularities
Flag Variety
Complete Intersection
3 Citations (Scopus)

On the positivity of a quasi-local mass in general dimensions

Kwong, K. K., 2013 Aug 14, In : Communications in Analysis and Geometry. 21, 4, p. 847-871 25 p.

Research output: Contribution to journalArticle

Positivity
Spinor
Foliation
Higher Dimensions
Monotonicity
3 Citations (Scopus)

Perturbation analysis of the stochastic algebraic Riccati equation

Chiang, C. Y., Fan, H. Y., Lin, M. M. & Chen, H. A., 2013 Jan 1, In : Journal of Inequalities and Applications. 2013, 1, 580.

Research output: Contribution to journalArticle

Algebraic Riccati Equation
Riccati equations
Perturbation Analysis
Perturbation Bound
Condition number

Preface: Special issue of JOGO-GCM10

Mordukhovich, B. S., Popovici, N. & Sheu, R. L., 2013 Nov 1, In : Journal of Global Optimization. 57, 3, p. 613-615 3 p.

Research output: Contribution to journalEditorial

7 Citations (Scopus)

Quantitative uniqueness estimates for the shallow shell system and their application to an inverse problem

Di Cristo, M., Lin, C. L. & Wang, J. N., 2013, In : Annali della Scuola Normale - Classe di Scienze. 12, 1, p. 43-92 50 p.

Research output: Contribution to journalArticle

Shallow Shell
Inverse problems
Inverse Problem
Uniqueness
Carleman Estimate
5 Citations (Scopus)

Radical 3-subgroups and essential 3-rank of F4(q)

An, J. & Huang, S. C., 2013 Feb 5, In : Journal of Algebra. 376, p. 320-340 21 p.

Research output: Contribution to journalArticle

Subgroup
Frobenius
Odd
Classify
7 Citations (Scopus)

Size estimates of the inverse inclusion problem for the shallow shell equation

Di Cristo, M., Lin, C. L., Vessella, S. & Wang, J. N., 2013 Apr 17, In : SIAM Journal on Mathematical Analysis. 45, 1, p. 88-100 13 p.

Research output: Contribution to journalArticle

Shallow Shell
Inclusion
Doubling
Estimate
Restriction
2 Citations (Scopus)

Some results on scattering for log-subcritical and log-supercritical nonlinear wave equations

Shih, H-W., 2013 Aug 27, In : Analysis and PDE. 6, 1, p. 1-24 24 p.

Research output: Contribution to journalArticle

Nonlinear Wave Equation
Wave equations
Wave equation
Scattering
Energy
1 Citation (Scopus)

Strengthening the cohomological crepant resolution conjecture for Hilbert-Chow morphisms

Cheong, W. K., 2013 Jan 1, In : Mathematische Annalen. 356, 1, p. 45-72 28 p.

Research output: Contribution to journalArticle

Gromov-Witten Invariants
Strengthening
Morphisms
Hilbert
Cup Product

Tensor Spline Approximation in Economic Dynamics with Uncertainties

Chu, M. T., Kuo, C. H. & Lin, M. M., 2013 Aug 1, In : Computational Economics. 42, 2, p. 175-198 24 p.

Research output: Contribution to journalArticle

Splines
Tensors
Economics
Euler equations
Dynamical systems

The eigenvalue shift technique and its eigenstructure analysis of a matrix

Chiang, C. Y. & Lin, M. M., 2013 May 20, In : Journal of Computational and Applied Mathematics. 253, p. 235-248 14 p.

Research output: Contribution to journalArticle

Eigenvalue
Eigenvalues and eigenfunctions
Multiplicity
Jordan Canonical Form
Matrix Computation
6 Citations (Scopus)

The shift techniques for a nonsymmetric algebraic Riccati equation

Lin, M. M. & Chiang, C. Y., 2013 Jan 16, In : Applied Mathematics and Computation. 219, 10, p. 5083-5095 13 p.

Research output: Contribution to journalArticle

Nonsymmetric Algebraic Riccati Equation
Linear Convergence
Quadratic Convergence
Riccati equations
Speed of Convergence
1 Citation (Scopus)

Tightening a copositive relaxation for standard quadratic optimization problems

Xia, Y., Sheu, R. L., Sun, X. & Li, D., 2013 Jun 1, In : Computational Optimization and Applications. 55, 2, p. 379-398 20 p.

Research output: Contribution to journalArticle

Duality Gap
Quadratic Optimization
Semidefinite Programming Relaxation
Optimization Problem
Second-order Cone Programming

Turbulent flame speeds of G-equation models in unsteady cellular flows

Liu, Y. Y., Xin, J. & Yu, Y., 2013 Jun 28, In : Mathematical Modelling of Natural Phenomena. 8, 3, p. 198-205 8 p.

Research output: Contribution to journalArticle

Flame
Partial differential equations
Model
Curvature
Turbulent Combustion
11 Citations (Scopus)

Unique continuation property for the anomalous diffusion and its application

Cheng, J., Lin, C-L. & Nakamura, G., 2013 May 1, In : Journal of Differential Equations. 254, 9, p. 3715-3728 14 p.

Research output: Contribution to journalArticle

Unique Continuation
Anomalous Diffusion
Operator
Factorization
Carleman Estimate
2012
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

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
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
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
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
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

A second degree Newton method in inverse scattering problem for a crack

Lee, K. M., 2012 Apr 9, In : Journal of Mathematical Physics. 53, 4, 043503.

Research output: Contribution to journalArticle

Newton methods
Inverse Scattering Problem
inverse scattering
Newton Methods
integral equations
1 Citation (Scopus)

Combinatorial expressions for F-polynomials in classical types

Yang, S. W., 2012 Apr 1, In : Journal of Combinatorial Theory. Series A. 119, 3, p. 747-764 18 p.

Research output: Contribution to journalArticle

Cluster Algebra
Algebra
Polynomials
Polynomial
Directed graphs

Conditioning of state feedback pole assignment problems

Chu, E. K. W., Weng, C. Y., Wang, C-S. & Yen, C. C., 2012 Jan 1, In : Taiwanese Journal of Mathematics. 16, 1, p. 283-304 22 p.

Research output: Contribution to journalArticle

Pole Assignment
Assignment Problem
State Feedback
Conditioning
Norm
5 Citations (Scopus)

Contracting convex immersed closed plane curves with slow speed of curvature

Lin, Y. C., Poon, C. C. & Tsai, D. H., 2012 Jul 26, In : Transactions of the American Mathematical Society. 364, 11, p. 5735-5763 29 p.

Research output: Contribution to journalArticle

Closed curve
Self-similar Solutions
Plane Curve
Terminology
Curvature
2 Citations (Scopus)

Dade's Invariant Conjecture for the Ree Groups 2F 4(q 2) in Defining Characteristic

Himstedt, F. & Huang, S. C., 2012 Feb 1, In : Communications in Algebra. 40, 2, p. 452-496 45 p.

Research output: Contribution to journalArticle

Simple group
Invariant
Verify

Dehn twists and invariant classes

Xia, E. Z., 2012 Apr 1, In : Proceedings of the American Mathematical Society. 140, 4, p. 1173-1183 11 p.

Research output: Contribution to journalArticle

Dehn Twist
Invariant
Fibers
Torsional stress
Fiber
3 Citations (Scopus)

D-module structure of local cohomology modules of toric algebras

Hsiao, J. C., 2012 Feb 10, In : Transactions of the American Mathematical Society. 364, 5, p. 2461-2478 18 p.

Research output: Contribution to journalArticle

Local Cohomology Modules
D-module
Algebra
Ring of Differential Operators
Monomial Ideals
17 Citations (Scopus)

Duality and solutions for quadratic programming over single non-homogeneous quadratic constraint

Feng, J. M., Lin, G. X., Sheu, R-L. & Xia, Y., 2012 Oct 1, In : Journal of Global Optimization. 54, 2, p. 275-293 19 p.

Research output: Contribution to journalArticle

Quadratic Constraint
Quadratic programming
Quadratic Programming
Dual Solutions
Duality