Research Output 1987 2020

2018

The algebraic de rham cohomology of representation varieties

Xia, E. Z., 2018 Jun, In : Canadian Journal of Mathematics. 70, 3, p. 702-720 19 p.

Research output: Contribution to journalArticle

De Rham Cohomology
Torus
Locus
Theorem
Family
1 Citation (Scopus)

The predictive modeling for learning student results based on sequential rules

Nguyen, H. Q., Pham, T. T., Vo, V., Vo, B. & Quan, T. T., 2018 Dec, In : International Journal of Innovative Computing, Information and Control. 14, 6, p. 2129-2140 12 p.

Research output: Contribution to journalArticle

Predictive Modeling
Student Learning
Students
Choose
Information Technology

The strong monodromy conjecture for monomial ideals on toric varieties

Hsiao, J-C. & Lai, C-J., 2018 Mar 14, (Accepted/In press) In : Communications in Algebra. p. 1-10 10 p.

Research output: Contribution to journalArticle

Monomial Ideals
Toric Varieties
Monodromy
Riemann zeta function
Pole

The SU(2) -character variety of the closed surface of genus 2

Ho, N. K., Jeffrey, L. C., Nguyen, K. D. & Xia, E. Z., 2018 Feb 1, In : Geometriae Dedicata. 192, 1, p. 171-187 17 p.

Research output: Contribution to journalArticle

Character Variety
Moduli Space
Genus
Symplectic Geometry
Closed

Weighted Hsiung-Minkowski formulas and rigidity of umbilical hypersurfaces

Kwok-Kun, K., Lee, H. & Pyo, J., 2018 Jan 1, In : Mathematical Research Letters. 25, 2, p. 597-616 20 p.

Research output: Contribution to journalArticle

Rigidity
Hypersurface
Reflection Principle
Curvature Flow
Warped Product
2017

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)

Asymptotic Behavior for Rayleigh Problem Based on Kinetic Theory

Kuo, H. W., 2017 Mar 1, In : Journal of Statistical Physics. 166, 5, p. 1247-1275 29 p.

Research output: Contribution to journalArticle

Kinetic Theory
kinetic theory
Rayleigh
Asymptotic Behavior
Boltzmann Equation
1 Citation (Scopus)

Boltzmann systems for gas mixtures in 1d torus

Wu, K. C., 2017 Jan 1, In : Quarterly of Applied Mathematics. 75, 3, p. 415-431 17 p.

Research output: Contribution to journalArticle

Gas Mixture
Boltzmann equation
Boltzmann Equation
Ludwig Boltzmann
Gas mixtures
5 Citations (Scopus)

Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface

Di Cristo, M., Francini, E., Lin, C. L., Vessella, S. & Wang, J. N., 2017 Aug, In : Journal des Mathematiques Pures et Appliquees. 108, 2, p. 163-206 44 p.

Research output: Contribution to journalArticle

Carleman Estimate
Second Order Elliptic Equations
Lipschitz
Jump
Coefficient

Development of an intelligent module used in railway level crossings to solve the safety and punctuality issues in urban area

Lin, T. H., Shih, Y. L., Jong, J. C. & Suen, C. S., 2017 Jan 1, 2017 Joint Rail Conference, JRC 2017. American Society of Mechanical Engineers, (2017 Joint Rail Conference, JRC 2017).

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

German Federal Railways
urban area
Roadsides
Accidents
traffic
1 Citation (Scopus)

Double well potential function and its optimization in the n-dimensional real space - Part II

Xla, Y., Sheu, R. L., Fang, S. C. & Xing, W., 2017 Jul 1, In : Journal of Industrial and Management Optimization. 13, 3, p. 1307-1328 22 p.

Research output: Contribution to journalArticle

Double-well Potential
Potential Function
n-dimensional
Local Minimizer
Optimization
1 Citation (Scopus)
Landau Equation
Exponential Stability
Asymptotic stability
Nonlinear equations
Mechanics

Estimation of selected parameters

Pan, J. C., Huang, Y. & Hwang, J. T. G., 2017 May 1, In : Computational Statistics and Data Analysis. 109, p. 45-63 19 p.

Research output: Contribution to journalArticle

Maximum likelihood
Bayes Estimator
Estimator
Prior distribution
Genes
5 Citations (Scopus)
Dengue
Viremia
Blood Donors
Taiwan
Dengue Virus
1 Citation (Scopus)

Local well-posedness for the quantum Zakharov system in one spatial dimension

Fang, Y. F., Shih, H. W. & Wang, K. H., 2017 Mar 1, In : Journal of Hyperbolic Differential Equations. 14, 1, p. 157-192 36 p.

Research output: Contribution to journalArticle

Local Well-posedness
Quantum Systems
Sobolev Spaces
Electric Field
Deviation

Low regularity global well-posedness for the quantum Zakharov system in 1D

Chen, T. J., Fang, Y. F. & Wang, K. H., 2017 Jan 1, In : Taiwanese Journal of Mathematics. 21, 2, p. 341-361 21 p.

Research output: Contribution to journalArticle

Global Well-posedness
Quantum Systems
Regularity
Large Set
Counterexample
6 Citations (Scopus)

Minkowski formulae and Alexandrov theorems in space time

Wang, M. T., Wang, Y. K. & Zhang, X., 2017 Feb, In : Journal of Differential Geometry. 105, 2, p. 249-290 42 p.

Research output: Contribution to journalArticle

Submanifolds
Null
Mean Curvature
Codimension
Theorem
1 Citation (Scopus)

Monetary discount strategies for real-time promotion campaign

Lin, Y. C., Huang, C. H., Hsieh, C. C., Shu, Y. C. & Chuang, K. T., 2017 Jan 1, 26th International World Wide Web Conference, WWW 2017. International World Wide Web Conferences Steering Committee, p. 1123-1132 10 p. 3052616. (26th International World Wide Web Conference, WWW 2017).

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

Electronic mail
Search engines
Labels
Profitability
Sales

Multigraded Hilbert schemes parametrizing ideals in the weyl algebra

Hsiao, J. C., 2017 Jan 1, In : Rocky Mountain Journal of Mathematics. 47, 8, p. 2675-2692 18 p.

Research output: Contribution to journalArticle

Hilbert Scheme
Hilbert Function
Weyl Algebra
Grading
Abelian group

Multi-scaling limits for time-fractional relativistic diffusion equations with random initial data

Liu, G. R. & Shieh, N. R., 2017 Jan 1, In : Theory of Probability and Mathematical Statistics. 95, p. 109-130 22 p.

Research output: Contribution to journalArticle

Multiscaling
Scaling Limit
Diffusion equation
Fractional
Scaling
2 Citations (Scopus)

n × 1 local gamma factors and Gauss sums

Nien, C., 2017 Jul 1, In : Finite Fields and their Applications. 46, p. 255-270 16 p.

Research output: Contribution to journalArticle

Gauss Sums
Galois field
Character

On prime rings whose central closure is finitely generated

Chebotar, M., Ke, W-F., Lee, P. H. & Puczyłowski, E. R., 2017 Oct 15, In : Journal of Algebra. 488, p. 282-289 8 p.

Research output: Contribution to journalArticle

Prime Ring
Finitely Generated
Central Element
Closure
Extended Centroid
2 Citations (Scopus)

Phase retrieval by linear algebra

Chen, P., Fannjiang, A. & Liu, G. R., 2017 Jan 1, In : SIAM Journal on Matrix Analysis and Applications. 38, 3, p. 854-868 15 p.

Research output: Contribution to journalArticle

Phase Retrieval
Linear algebra
Null
Initialization
Error Bounds

Relief of spatiotemporal accessibility overloading with optimal resource placement

Chang, C. W., Chih, H. Y., Chou, D., Shu, Y. C. & Chuang, K. T., 2017 Jan 31, Proceedings - 16th IEEE International Conference on Data Mining, ICDM 2016. Bonchi, F., Wu, X., Baeza-Yates, R., Domingo-Ferrer, J. & Zhou, Z-H. (eds.). Institute of Electrical and Electronics Engineers Inc., p. 61-70 10 p. 7837830. (Proceedings - IEEE International Conference on Data Mining, ICDM).

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

Global warming
Viruses
3 Citations (Scopus)
Dengue
Taiwan
Disease Outbreaks
Odds Ratio
Intensive Care Units

Theory and application of p-regularized subproblems for p>2

Hsia, Y., Sheu, R. L. & Yuan, Y. X., 2017 Sep 3, In : Optimization Methods and Software. 32, 5, p. 1059-1077 19 p.

Research output: Contribution to journalArticle

Minimizer
Combinatorial optimization
Trust Region Subproblem
Linear systems
Necessary and Sufficient Optimality Conditions

Weierstrass cycles in moduli spaces and the Krichever map

Liou, J. M. F. & Schwarz, A., 2017 Jan 1, In : Mathematical Research Letters. 24, 6, p. 1739-1758 20 p.

Research output: Contribution to journalArticle

Moduli Space
Ring
Cycle
2016
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

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
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
1 Citation (Scopus)

Asymptotic limit of the Gross-Pitaevskii equation with general initial data

Li, F. C., Lin, C. K. & Wu, K. C., 2016 Jun 1, In : Science China Mathematics. 59, 6, p. 1113-1126 14 p.

Research output: Contribution to journalArticle

Gross-Pitaevskii Equation
Asymptotic Limit
Incompressible Euler Equations
Strong Solution
Justification
3 Citations (Scopus)

Bounding volumes of singular fano threefolds

Lai, C. J., 2016 Dec 1, In : Nagoya Mathematical Journal. 224, p. 37-73 37 p.

Research output: Contribution to journalArticle

Threefolds
Boundedness
Fano Variety
Upper bound
Factorial
4 Citations (Scopus)

Cauchy Problem and Exponential Stability for the Inhomogeneous Landau Equation

Carrapatoso, K., Tristani, I. & Wu, K. C., 2016 Jul 1, In : Archive for Rational Mechanics and Analysis. 221, 1, p. 363-418 56 p.

Research output: Contribution to journalArticle

Landau Equation
Exponential Stability
Asymptotic stability
Cauchy Problem
Semigroup
3 Citations (Scopus)

Doubling inequalities for the lamé system with rough coefficients

Koch, H., Lin, C. L. & Wang, J. N., 2016 Jan 1, In : Proceedings of the American Mathematical Society. 144, 12, p. 5309-5318 10 p.

Research output: Contribution to journalArticle

Doubling
Rough
Carleman Estimate
Unique Continuation
Coefficient
1 Citation (Scopus)

Erratum: Double well potential function and its optimization in the n-dimensional real space: Part I (Mathematics and Mechanics of Solids)

Fang, S. C., Gao, D. Y., Lin, G. X., Sheu, R. L. & Xing, W. X., 2016 Mar 1, In : Mathematics and Mechanics of Solids. 21, 3, p. NP66-NP80

Research output: Contribution to journalComment/debate

1 Citation (Scopus)

Erratum: Double well potential function and its optimization in the n-dimensional real space: Part II (Mathematics and Mechanics of Solids)

Xia, Y., Sheu, R. L., Fang, S. C. & Xing, W., 2016 Mar 1, In : Mathematics and Mechanics of Solids. 21, 3, p. NP83-NP103

Research output: Contribution to journalComment/debate

Fixed Ideals of Certain Cartier Algebras Over F-split Toric Algebras

Hsiao, J-C., 2016 Jun 2, In : Communications in Algebra. 44, 6, p. 2670-2684 15 p.

Research output: Contribution to journalArticle

Algebra

High-order discontinuous Galerkin method for solving Elliptic interface problems

Chen, M. H. & Wu, R. J., 2016 Jan 1, In : Taiwanese Journal of Mathematics. 20, 5, p. 1185-1202 18 p.

Research output: Contribution to journalArticle

Interface Problems
Discontinuous Galerkin Method
Elliptic Problems
Quadrilateral Element
Quadrature Rules
6 Citations (Scopus)

Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming

Nguyen, V. B., Sheu, R-L. & Xia, Y., 2016 Feb 1, In : Journal of Global Optimization. 64, 2, p. 399-416 18 p.

Research output: Contribution to journalArticle

Rayleigh quotient
Semidefinite Programming
Unit Sphere
Polynomials
Decomposition
3 Citations (Scopus)

Mixed, componentwise condition numbers and small sample statistical condition estimation for generalized spectral projections and matrix sign functions

Wang, W. G., Wang, C-S., Wei, Y. M. & Xie, P. P., 2016 Apr 1, In : Taiwanese Journal of Mathematics. 20, 2, p. 333-363 31 p.

Research output: Contribution to journalArticle

Mixed number
Matrix Sign Function
Generalized Projection
Spectral Projection
Condition number

Modeling Mobile Ticket Dispenser System with Impatient Clerk

Liu, G. R., Lin, P. & Lin, Y. B., 2016 Dec, In : IEEE Transactions on Vehicular Technology. 65, 12, p. 9931-9941 11 p., 7410089.

Research output: Contribution to journalArticle

Dispensers
Post offices
Customers
Modeling
Discrete event simulation
1 Citation (Scopus)

Non-fillable invariant contact structures on principal circle bundles and left-handed twists

Chiang, R., Ding, F. & Van Koert, O., 2016 Mar 1, In : International Journal of Mathematics. 27, 3, 1650024.

Research output: Contribution to journalArticle

Contact Structure
Left handed
Twist
Contact Manifold
Bundle
14 Citations (Scopus)

Preconditioned iterative methods for space-time fractional advection-diffusion equations

Zhao, Z., Jin, X. Q. & Lin, M. M., 2016 Aug 15, In : Journal of Computational Physics. 319, p. 266-279 14 p.

Research output: Contribution to journalArticle

Advection
Iterative methods
advection
boundary value problems
Fast Fourier transforms
3 Citations (Scopus)

Preconditioning random Toeplitz systems

Ke, W. F., Lai, K. F., Lee, T. L. & Wong, N. C., 2016 Jan 1, In : Journal of Nonlinear and Convex Analysis. 17, 4, p. 757-770 14 p.

Research output: Contribution to journalArticle

Toeplitz System
Random Systems
Conjugate gradient method
Preconditioning
Random Noise
1 Citation (Scopus)

Quadratic adaptive algorithm for solving cardiac action potential models

Chen, M. H., Chen, P. Y. & Luo, C. H., 2016 Oct 1, In : Computers in Biology and Medicine. 77, p. 261-273 13 p.

Research output: Contribution to journalArticle

Adaptive algorithms
Action Potentials
Membranes
Membrane Potentials
Dynamic models
1 Citation (Scopus)

Random Toeplitz operators and eigenvalue distribution

Ke, W. F., Lai, K. F., Lee, T. L. & Wong, N. C., 2016 Jan 1, In : Journal of Nonlinear and Convex Analysis. 17, 9, p. 1717-1728 12 p.

Research output: Contribution to journalArticle

Random Operators
Eigenvalue Distribution
Toeplitz Operator
Toeplitz matrix
Otto Toeplitz
1 Citation (Scopus)

Semigroup decay of the linearized Boltzmann equation in a torus

Li, F. & Wu, K-C., 2016 Feb 5, In : Journal of Differential Equations. 260, 3, p. 2729-2749 21 p.

Research output: Contribution to journalArticle

Boltzmann equation
Banach spaces
Boltzmann Equation
Decay Rate
Torus
10 Citations (Scopus)

Shape reconstructions from phaseless data

Lee, K. M., 2016 Oct 1, In : Engineering Analysis with Boundary Elements. 71, p. 174-178 5 p.

Research output: Contribution to journalArticle

Shape Reconstruction
Acoustic waves
Scattering
Far Field
Inverse Scattering Problem
18 Citations (Scopus)

S-lemma with equality and its applications

Xia, Y., Wang, S. & Sheu, R. L., 2016 Mar 1, In : Mathematical Programming. 156, 1-2, p. 513-547 35 p.

Research output: Contribution to journalArticle

Lemma
Equality
Quadratic Function
Trust Region Subproblem
Affine Function
6 Citations (Scopus)
Eigenvalue Estimates
Differential Forms
First Eigenvalue
Riemannian Manifold
Lower bound