研究成果 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 一月, 於 : Biomedical Signal Processing and Control. 55, 101576.

研究成果: Article

Electric fuses
Electroencephalography
Sleep
Geometry
Telemetry
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 一月 1, Optimization of Complex Systems: Theory, Models, Algorithms and Applications, 2019. Le Thi, H. A., Le, H. M. & Pham Dinh, T. (編輯). Springer Verlag, p. 221-227 7 p. (Advances in Intelligent Systems and Computing; 卷 991).

研究成果: Conference contribution

Polynomials
2019
1 引文 (Scopus)
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 四月 15, 於 : Journal of Differential Equations. 266, 9, p. 5748-5771 24 p.

研究成果: Article

Water waves
Water Waves
Surface Tension
Surface tension
Air

CYCLIC ACTIONS ON RATIONAL RULED SYMPLECTIC FOUR-MANIFOLDS

Chiang, R. & Kessler, L., 2019 十二月 1, 於 : Transformation Groups. 24, 4, p. 987-1000 14 p.

研究成果: Article

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 一月 1, Handbook of Numerical Analysis. Kimmel, R. & Tai, X-C. (編輯). Elsevier B.V., p. 1-39 39 p. (Handbook of Numerical Analysis; 卷 20).

研究成果: Chapter

Modality
Data analysis
Data-driven
Geometry
Operator
開啟存取
Kinetic theory
Kinetic Theory
Gases
Rarefied Gas
Temperature

Effects of Matrices and Additives on Multiple Charge Formation of Proteins in MALDI–MS Analysis

Choi, H., Lee, D., Kim, Y., Nguyen, H. Q., Han, S. & Kim, J., 2019 七月 15, 於 : Journal of the American Society for Mass Spectrometry. 30, 7, p. 1174-1178 5 p.

研究成果: Article

Spectrometry
Desorption
Spectrum Analysis
Lasers
Proteins

Explicit structure of the Fokker-Planck equation with potential

Lin, Y. C., Wang, H. & Wu, K. C., 2019 一月 1, 於 : Quarterly of Applied Mathematics. 77, 4, p. 727-766 40 p.

研究成果: Article

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

Gamma factors and quadratic extension over finite fields

Nien, C., 2019 一月 7, 於 : Manuscripta Mathematica. 158, 1-2, p. 31-54 24 p.

研究成果: Article

Galois field
Quadratic Function
Level Set
Intermediate value theorem
Control theory
Sensitivity analysis
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 一月 1, 於 : Proceedings of the American Mathematical Society. 147, 6, p. 2619-2624 6 p.

研究成果: Article

Singular Coefficients
Liouville Type Theorem
Byproducts
Unique Continuation
Rough

Local Gamma Factors, Converse Theorems and Related Problems

Nien, C., 2019 一月 1, Progress in Mathematics. Springer Basel, p. 191-205 15 p. (Progress in Mathematics; 卷 328).

研究成果: Chapter

P-adic Fields
General Linear Group
Converse
Theorem
Review

Minimum variance allocation among constrained intervals

Sun, H. M. & Sheu, R-L., 2019 五月 15, 於 : Journal of Global Optimization. 74, 1, p. 21-44 24 p.

研究成果: Article

Minimum Variance
Interval
Divisible
Uniform distribution
Efficient Algorithms
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 五月 15, 於 : Journal of Algebra. 526, p. 345-355 11 p.

研究成果: Article

Invertible matrix
Near-field
Bijective

Optimal estimation for the Fujino–Morley interpolation error constants

Liao, S. K., Shu, Y. C. & Liu, X., 2019 七月 1, 於 : Japan Journal of Industrial and Applied Mathematics. 36, 2, p. 521-542 22 p.

研究成果: Article

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 一月 1, (Accepted/In press) 於 : Analytical chemistry.

研究成果: Article

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 六月 1, 於 : International Journal of Modern Physics D. 28, 8, 1930013.

研究成果: Review 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 九月 1, 於 : BIT Numerical Mathematics. 59, 3, p. 675-694 20 p.

研究成果: Article

Inexact Newton Methods
Newton-Raphson method
Singular Values
Eigenvalue
Inverse problems
Strong Duality
Unit Sphere
Quadratic form
Decomposition
Quadratic Constraint

Strong unique continuation for two-dimensional anisotropic elliptic systems

Kuan, R., Nakamura, G., Sasayama, S. & Hitrik, M., 2019 五月, 於 : Proceedings of the American Mathematical Society. 147, 5, p. 2171-2183 13 p.

研究成果: Article

Carleman Estimate
Unique Continuation
Elliptic Systems
Gevrey Classes
Second-order Systems
開啟存取
Fatal Outcome
Dengue
Alanine Transaminase
Platelet Count
Liver
1 引文 (Scopus)

Unique continuation property for multi-terms time fractional diffusion equations

Lin, C. L. & Nakamura, G., 2019 四月 1, 於 : Mathematische Annalen. 373, 3-4, p. 929-952 24 p.

研究成果: Article

Unique Continuation
Fractional Diffusion Equation
Term
Carleman Estimate
Zero set
2018
1 引文 (Scopus)
Positive Definite Solution
Algebraic Riccati Equation
Riccati equations
Discrete-time
Critical Case
Weierstrass Point
Mean Field Equation
Hyperelliptic Curves
Pi
Genus
Matrix Pencil
Subspace
Iteration
Square root
Matrix Square Root
1 引文 (Scopus)

Bernstein-Sato polynomials on normal toric varieties

Hsiao, J. C. & Matusevich, L. F., 2018 三月, 於 : Michigan Mathematical Journal. 67, 1, p. 117-132 16 p.

研究成果: Article

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

Brendle’s Inequality on Static Manifolds

Wang, X. & Wang, Y. K., 2018 一月 1, 於 : Journal of Geometric Analysis. 28, 1, p. 152-169 18 p.

研究成果: Article

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

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

An, J., Dietrich, H. & Huang, S. C., 2018 十二月, 於 : Journal of Pure and Applied Algebra. 222, 12, p. 4020-4039 20 p.

研究成果: Article

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 一月 1, 於 : Journal of Internet Technology. 19, 3, p. 781-794 14 p.

研究成果: Article

Energy management
Ethernet
Routers
Energy conservation
Energy utilization
1 引文 (Scopus)
Mean Field Equation
Hyperelliptic Curves
Explicit Solution
Genus
Total curvature
1 引文 (Scopus)
Circle Action
Hamiltonian Actions
Trivial
Four-manifolds
Cyclic group

Index theorem for Z/2-harmonic spinors

Takahashi, R., 2018 一月 1, 於 : Mathematical Research Letters. 25, 5, p. 1645-1671

研究成果: Article

Integer Matrix Approximation and Data Mining

Dong, B., Lin, M. M. & Park, H., 2018 四月 1, 於 : Journal of Scientific Computing. 75, 1, p. 198-224 27 p.

研究成果: Article

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

Modeling Energy Saving Mechanism for Green Routers

Liu, G-R., Lin, P. & Awad, M. K., 2018 九月 1, 於 : IEEE Transactions on Green Communications and Networking. 2, 3, p. 817-829 13 p., 8304600.

研究成果: Article

Routers
Energy conservation
Energy utilization
Internet
Packet loss

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

Wu, K-C., 2018 四月 9, 於 : Nonlinearity. 31, 5, p. 2173-2191 19 p.

研究成果: Article

Knudsen number
Knudsen flow
Boltzmann equation
Nonlinear Stability
Boltzmann Equation
2 引文 (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 二月 1, 於 : Israel Journal of Mathematics. 223, 1, p. 309-322 14 p.

研究成果: Article

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

On the standing waves of quantum Zakharov system

Fang, Y-F., Segata, J. I. & Wu, T. F., 2018 二月 15, 於 : Journal of Mathematical Analysis and Applications. 458, 2, p. 1427-1448 22 p.

研究成果: Article

Standing Wave
Quantum Systems
Ion acoustic waves
Nonlinear Interaction
Acoustic Waves
8 引文 (Scopus)
Alternating Projections
Phase Retrieval
Initialization
Diffraction patterns
Null
2 引文 (Scopus)
Pointwise Estimates
Boltzmann Equation
estimates
Mach number
Molecules
2 引文 (Scopus)

Quasi-local energy with respect to a static spacetime

Chen, P. N., Wang, M. T., Wang, Y. K. & Yau, S. T., 2018 一月 1, 於 : Advances in Theoretical and Mathematical Physics. 22, 1, p. 1-23 23 p.

研究成果: Article

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

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

An, J., Dietrich, H. & Huang, S. C., 2018 十二月, 於 : Journal of Pure and Applied Algebra. 222, 12, p. 4040-4067 28 p.

研究成果: Article

Finite Groups of Lie Type
Subgroup
Groups of Lie Type
Conjugacy
Frobenius
Landau Equation
Smoothing Effect
Decay Estimates
Large Time Behavior
Smooth Solution
Injective Module
Projective Module
Endomorphism
Symmetric Algebra
Algebra