Research Output 1987 2020

2020

Diffuse to fuse EEG spectra – Intrinsic geometry of sleep dynamics for classification

Liu, G. R., Lo, Y. L., Malik, J., Sheu, Y. C. & Wu, H. T., 2020 Jan, In : Biomedical Signal Processing and Control. 55, 101576.

Research output: Contribution to journalArticle

Electric fuses
Electroencephalography
Sleep
Geometry
Telemetry

Projective modules over classical Lie algebras of infinite rank in the parabolic category

Chen, C. W. & Lam, N., 2020 Jan, In : Journal of Pure and Applied Algebra. 224, 1, p. 125-148 24 p.

Research output: Contribution to journalArticle

Projective Module
Lie Algebra
Irreducible Module
Lie Superalgebra
Truncation

Solving a Type of the Tikhonov Regularization of the Total Least Squares by a New S-Lemma

Nguyen, H. Q., Sheu, R-L. & Xia, Y., 2020 Jan 1, Optimization of Complex Systems: Theory, Models, Algorithms and Applications, 2019. Le Thi, H. A., Le, H. M. & Pham Dinh, T. (eds.). Springer Verlag, p. 221-227 7 p. (Advances in Intelligent Systems and Computing; vol. 991).

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

Polynomials
2019

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

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

CYCLIC ACTIONS ON RATIONAL RULED SYMPLECTIC FOUR-MANIFOLDS

Chiang, R. & Kessler, L., 2019 Jan 1, In : Transformation Groups.

Research output: Contribution to journalArticle

Four-manifolds
Circle Action
Hamiltonian Actions
Trivial
Restriction

Diffusion operators for multimodal data analysis

Shnitzer, T., Lederman, R. R., Liu, G-R., Talmon, R. & Wu, H. T., 2019 Jan 1, Handbook of Numerical Analysis. Kimmel, R. & Tai, X-C. (eds.). Elsevier B.V., p. 1-39 39 p. (Handbook of Numerical Analysis; vol. 20).

Research output: Chapter in Book/Report/Conference proceedingChapter

Modality
Data analysis
Data-driven
Geometry
Operator

Effect of abrupt change of the wall temperature in the kinetic theory

Kuo, H-W., 2019 Jan 1, In : Kinetic and Related Models. 12, 4, p. 765-789 25 p.

Research output: Contribution to journalArticle

Open Access
Kinetic theory
Kinetic Theory
Gases
Rarefied Gas
Temperature

Explicit structure of the Fokker-Planck equation with potential

Lin, Y. C., Wang, H. & Wu, K. C., 2019 Jan 1, In : Quarterly of Applied Mathematics. 77, 4, p. 727-766 40 p.

Research output: Contribution to journalArticle

Fokker Planck equation
Large Time Behavior
Potential Function
Fokker-Planck Equation
Asymptotic Behavior
1 Citation (Scopus)

Gamma factors and quadratic extension over finite fields

Nien, C., 2019 Jan 7, In : Manuscripta Mathematica. 158, 1-2, p. 31-54 24 p.

Research output: Contribution to journalArticle

Galois field

Geometric properties for level sets of quadratic functions

Nguyen, H. Q. & Sheu, R. L., 2019 Feb 15, In : Journal of Global Optimization. 73, 2, p. 349-369 21 p.

Research output: Contribution to journalArticle

Quadratic Function
Level Set
Intermediate value theorem
Control theory
Sensitivity analysis

Inverse transmission scattering problem via a Dirichlet-to-Neumann map

Lee, K-M., 2019 Apr 1, In : Engineering Analysis with Boundary Elements. 101, p. 214-220 7 p.

Research output: Contribution to journalArticle

Dirichlet-to-Neumann Map
Transmission Problem
Scattering Problems
Scattering
Inverse Scattering Problem

Liouville-type theorem for the lamÉ system with singular coefficients

Davey, B., Lin, C. L. & Wang, J. N., 2019 Jan 1, In : Proceedings of the American Mathematical Society. 147, 6, p. 2619-2624 6 p.

Research output: Contribution to journalArticle

Singular Coefficients
Liouville Type Theorem
Byproducts
Unique Continuation
Rough

Local Gamma Factors, Converse Theorems and Related Problems

Nien, C., 2019 Jan 1, Progress in Mathematics. Springer Basel, p. 191-205 15 p. (Progress in Mathematics; vol. 328).

Research output: Chapter in Book/Report/Conference proceedingChapter

P-adic Fields
General Linear Group
Converse
Theorem
Review

Minimum variance allocation among constrained intervals

Sun, H. M. & Sheu, R-L., 2019 May 15, In : Journal of Global Optimization. 74, 1, p. 21-44 24 p.

Research output: Contribution to journalArticle

Minimum Variance
Interval
Divisible
Uniform distribution
Efficient Algorithms

On decay rate of solutions for the stationary Navier–Stokes equation in an exterior domain

Kow, P. Z. & Lin, C-L., 2019 Mar 5, In : Journal of Differential Equations. 266, 6, p. 3279-3309 31 p.

Research output: Contribution to journalArticle

Exterior Domain
Decay Rate
Navier-Stokes Equations
Schauder Estimates
Scalar

On invertible matrices over a near-field

Boykett, T., Ke, W-F. & Meyer, J. H., 2019 May 15, In : Journal of Algebra. 526, p. 345-355 11 p.

Research output: Contribution to journalArticle

Invertible matrix
Near-field
Bijective

Optimal estimation for the Fujino–Morley interpolation error constants

Liao, S. K., Shu, Y. C. & Liu, X., 2019 Jul 1, In : Japan Journal of Industrial and Applied Mathematics. 36, 2, p. 521-542 22 p.

Research output: Contribution to journalArticle

Interpolation Error
Optimal Estimation
Mathematical operators
Interpolation
Triangle

Platelet factor 4 as a novel exosome marker in MALDI-MS analysis of exosomes from human serum

Nguyen, H. Q., Lee, D., Kim, Y., Paek, M., Kim, M., Jang, K. S., Oh, J., Lee, Y. S., Yeon, J. E., Lubman, D. M. & Kim, J., 2019 Jan 1, (Accepted/In press) In : Analytical chemistry.

Research output: Contribution to journalArticle

Platelet Factor 4
Cyclotron resonance
Ionization
Mass spectrometry
Desorption

Quasi-local mass at axially symmetric null infinity

Chen, P. N., Wang, M. T., Wang, Y-K. & Yau, S. T., 2019 Jun 1, In : International Journal of Modern Physics D. 28, 8, 1930013.

Research output: Contribution to journalReview article

infinity
Null
Space-time
Infinity
Unit

Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems

Chiang, C. Y., Lin, M. M. & Jin, X. Q., 2019 Sep 1, In : BIT Numerical Mathematics. 59, 3, p. 675-694 20 p.

Research output: Contribution to journalArticle

Inexact Newton Methods
Newton-Raphson method
Singular Values
Eigenvalue
Inverse problems

Strong duality in minimizing a quadratic form subject to two homogeneous quadratic inequalities over the unit sphere

Nguyen, V. B., Nguyen, T. N. & Sheu, R. L., 2019 Jan 1, (Accepted/In press) In : Journal of Global Optimization.

Research output: Contribution to journalArticle

Strong Duality
Unit Sphere
Quadratic form
Decomposition
Quadratic Constraint

Strong unique continuation for two-dimensional anisotropic elliptic systems

Kuan, R-L., Nakamura, G., Sasayama, S. & Hitrik, M., 2019 May 1, In : Proceedings of the American Mathematical Society. 147, 5, p. 2171-2183 13 p.

Research output: Contribution to journalArticle

Carleman Estimate
Unique Continuation
Elliptic Systems
Gevrey Classes
Second-order Systems
1 Citation (Scopus)

Unique continuation property for multi-terms time fractional diffusion equations

Lin, C. L. & Nakamura, G., 2019 Apr 1, In : Mathematische Annalen. 373, 3-4, p. 929-952 24 p.

Research output: Contribution to journalArticle

Unique Continuation
Fractional Diffusion Equation
Term
Carleman Estimate
Zero set
2018
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

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
1 Citation (Scopus)

Bernstein-Sato polynomials on normal toric varieties

Hsiao, J-C. & Matusevich, L. F., 2018 Mar 1, In : Michigan Mathematical Journal. 67, 1, p. 117-132 16 p.

Research output: Contribution to journalArticle

Multiplier Ideals
Semigroup Ring
Monomial Ideals
Bernstein Polynomials
Toric Varieties
1 Citation (Scopus)

Brendle’s Inequality on Static Manifolds

Wang, X. & Wang, Y. K., 2018 Jan 1, In : Journal of Geometric Analysis. 28, 1, p. 152-169 18 p.

Research output: Contribution to journalArticle

Geometric Inequalities
Hyperbolic Manifold
Mean Curvature
Hypersurface
Reverse
1 Citation (Scopus)

Classification of some 3-subgroups of the finite groups of Lie type E6

An, J., Dietrich, H. & Huang, S-C., 2018 Dec 1, In : Journal of Pure and Applied Algebra. 222, 12, p. 4020-4039 20 p.

Research output: Contribution to journalArticle

Finite Groups of Lie Type
Subgroup
Conjugacy
Groups of Lie Type
Modular Representations

Distributed and load adaptive energy management algorithm for ethernet green routers

Awad, M. K., Lin, P. & Liu, G-R., 2018 Jan 1, In : Journal of Internet Technology. 19, 3, p. 781-794 14 p.

Research output: Contribution to journalArticle

Energy management
Ethernet
Routers
Energy conservation
Energy utilization

Energy Bound for Kapustin–Witten Solutions on S3×R+

Leung, N. C. & Takahashi, R., 2018 Aug 20, In : International Mathematics Research Notices. rny198

Research output: Contribution to journalArticle

1 Citation (Scopus)

Explicit Solutions to the mean field equations on hyperelliptic curves of genus two

Liou, J-M., 2018 Feb 1, In : Differential Geometry and its Application. 56, p. 173-186 14 p.

Research output: Contribution to journalArticle

Mean Field Equation
Hyperelliptic Curves
Explicit Solution
Genus
Total curvature
1 Citation (Scopus)

Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions

Chiang, R. & Kessler, L., 2018 Jan 1, (Accepted/In press) In : Journal of Topology and Analysis.

Research output: Contribution to journalArticle

Circle Action
Hamiltonian Actions
Trivial
Four-manifolds
Cyclic group

Index theorem for Z/2-harmonic spinors

Takahashi, R., 2018 Jan 1, In : Mathematical Research Letters. 25, 5, p. 1645-1671

Research output: Contribution to journalArticle

Integer Matrix Approximation and Data Mining

Dong, B., Lin, M. M. & Park, H., 2018 Apr 1, In : Journal of Scientific Computing. 75, 1, p. 198-224 27 p.

Research output: Contribution to journalArticle

Matrix Approximation
Integer Matrix
Data mining
Data Mining
Integer
2 Citations (Scopus)

Modeling Energy Saving Mechanism for Green Routers

Liu, G-R., Lin, P. & Awad, M. K., 2018 Sep 1, In : IEEE Transactions on Green Communications and Networking. 2, 3, p. 817-829 13 p., 8304600.

Research output: Contribution to journalArticle

Routers
Energy conservation
Energy utilization
Internet
Packet loss

Nonlinear stability of the 1D Boltzmann equation in a periodic box

Wu, K-C., 2018 Apr 9, In : Nonlinearity. 31, 5, p. 2173-2191 19 p.

Research output: Contribution to journalArticle

Knudsen number
Knudsen flow
Boltzmann equation
Nonlinear Stability
Boltzmann Equation
2 Citations (Scopus)

On polynomial rings over nil rings in several variables and the central closure of prime nil rings

Chebotar, M., Ke, W-F., Lee, P. H. & Puczyłowski, E. R., 2018 Feb 1, In : Israel Journal of Mathematics. 223, 1, p. 309-322 14 p.

Research output: Contribution to journalArticle

Nil
Several Variables
Polynomial ring
Closure
Ring
1 Citation (Scopus)

On the standing waves of quantum Zakharov system

Fang, Y-F., Segata, J. I. & Wu, T. F., 2018 Feb 15, In : Journal of Mathematical Analysis and Applications. 458, 2, p. 1427-1448 22 p.

Research output: Contribution to journalArticle

Standing Wave
Quantum Systems
Ion acoustic waves
Nonlinear Interaction
Acoustic Waves
8 Citations (Scopus)

Phase Retrieval with One or Two Diffraction Patterns by Alternating Projections with the Null Initialization

Chen, P., Fannjiang, A. & Liu, G-R., 2018 Jun 1, In : Journal of Fourier Analysis and Applications. 24, 3, p. 719-758 40 p.

Research output: Contribution to journalArticle

Alternating Projections
Phase Retrieval
Initialization
Diffraction patterns
Null
1 Citation (Scopus)

Quantitative pointwise estimate of the solution of the linearized Boltzmann equation

Lin, Y. C., Wang, H. & Wu, K. C., 2018 Jan 1, In : Journal of Statistical Physics. 171, 5, p. 927-964 38 p.

Research output: Contribution to journalArticle

Pointwise Estimates
Boltzmann Equation
estimates
Mach number
Molecules
1 Citation (Scopus)

Quasi-local energy with respect to a static spacetime

Chen, P. N., Wang, M. T., Wang, Y. K. & Yau, S. T., 2018 Jan 1, In : Advances in Theoretical and Mathematical Physics. 22, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

Space-time
Energy
Hilbert
Albert Einstein
energy
1 Citation (Scopus)

Radical 3-subgroups of the finite groups of Lie type E6

An, J., Dietrich, H. & Huang, S-C., 2018 Dec 1, In : Journal of Pure and Applied Algebra. 222, 12, p. 4040-4067 28 p.

Research output: Contribution to journalArticle

Finite Groups of Lie Type
Subgroup
Groups of Lie Type
Conjugacy
Frobenius

Smoothing effects and decay estimate of the solution of the linearized two species Landau equation

Lin, Y. C., Wang, H. & Wu, K. C., 2018 Jan 1, In : Communications in Mathematical Sciences. 16, 8, p. 2261-2300 40 p.

Research output: Contribution to journalArticle

Landau Equation
Smoothing Effect
Decay Estimates
Large Time Behavior
Smooth Solution

Symmetric structure for the endomorphism algebra of projective-injective module in parabolic category

Hu, J. & Lam, N., 2018 Dec 1, In : Journal of Algebra. 515, p. 173-201 29 p.

Research output: Contribution to journalArticle

Injective Module
Projective Module
Endomorphism
Symmetric Algebra
Algebra

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

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