數學系

研究成果

每年研究成果 1989 2002 2003 2004 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023

• 6404 引文
• 33 h-指數
• 647 期刊論文
• 31 會議論文篇章
• 6 評論/辯論
• 3 回顧評介論文
• 5 更多
  • 3 會議論文
  • 2 篇章

每年研究成果

每年研究成果

搜尋結果

• 2023

  [1,2]-dimension of graphs

  Chang, F. H., Chia, M. L., Kuo, D., Liaw, S. C. & Lin, Y. X., 15 10月 2023, 於: Discrete Applied Mathematics. 337, p. 232-245 14 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Computational complexity 100%
  • Metric Dimension 95%
  • Graph in graph theory 56%
  • Vertex of a graph 55%
  • Shortest path 25%

• A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems

  You, C. S., Hsieh, P. W. & Yang, S. Y., 2023, 於: Advances in Applied Mathematics and Mechanics. 15, 1, p. 1-29 29 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Fluid-solid Interaction 100%
  • Immersed Boundary Method 95%
  • Projection Method 64%
  • Forcing 61%
  • Fluids 39%

• An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

  Hu, W. F., Lin, T. S., Tseng, Y. H. & Lai, M. C., 4月 2023, 於: Communications in Computational Physics. 33, 4, p. 1090-1105 16 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Interface Problems 100%
  • Difference Method 94%
  • Hybrid Method 92%
  • Neural Networks 76%
  • Elliptic Problems 74%

• Composition Operators on the Bergman Space with Quasiconformal Symbols

  Fang, X., Guo, K. & Wang, Z., 4月 2023, 於: Journal of Geometric Analysis. 33, 4, 125.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Schatten Class 100%
  • Essential Norm 97%
  • Quasiconformal 89%
  • Bergman Space 83%
  • Composition Operator 79%

• Fractional Integration on Mixed Norm Spaces. II

  Zhu, X., Fang, X., Guo, F. & Hou, S., 5月 2023, 於: Journal of Geometric Analysis. 33, 5, 158.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Mixed Norm Space 100%
  • Fractional Integration 91%
  • Boundedness 27%
  • Unit Disk 15%
  • Cover 12%

• Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts

  Chu, J., Hong, J. M., Lee, H-Y. & Lin, Y. C., 6月 2023, 於: Research in Mathematical Sciences. 10, 2, 17.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Global Classical Solution 100%
  • Euler equations 95%
  • Boundary value problems 86%
  • Vacuum 81%
  • Ducts 77%

• Global existence of classical solutions for the gas flows near vacuum through ducts expanding with space and time

  Chou, S. W., Hong, J. M. & Lee, H. Y., 1 11月 2023, 於: Journal of Mathematical Analysis and Applications. 527, 1, 127345.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Gas Flow 100%
  • Vacuum 84%
  • Ducts 79%
  • Classical Solution 77%
  • Flow of gases 76%

• Improvement of Submodular Maximization Problems With Routing Constraints via Submodularity and Fourier Sparsity

  Lin, P. T. & Tseng, K. S., 1 4月 2023, 於: IEEE Robotics and Automation Letters. 8, 4, p. 1927-1934 8 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Submodularity 100%
  • Routing 73%
  • Sparsity 70%
  • Optimal Solution 56%
  • Costs 36%

• Inference for the dimension of a regression relationship using pseudo-covariates

  Huang, S. H., Shedden, K. & Chang, H. W., 9月 2023, 於: Biometrics. 79, 3, p. 2394-2403 10 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Covariates 100%
  • Regression 90%
  • Dimension 88%
  • Sufficient Dimension Reduction 84%
  • Relationships 71%

• Numerical computation of triangular complex spherical designs with small mesh ratio

  Wang, Y. G., Womersley, R. S., Wu, H. T. & Yu, W. H., 15 3月 2023, 於: Journal of Computational and Applied Mathematics. 421, 114796.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Spherical Design 100%
  • Numerical Computation 64%
  • Triangular 58%
  • Mesh 52%
  • Unit Sphere 50%

• On Semisimplicity of Jantzen Middles for the Periplectic Lie Superalgebra

  Chen, C. W., 1 3月 2023, 於: International Mathematics Research Notices. 2023, 7, p. 5660-5684 25 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Simple Module 53%
  • If and only if 27%

• Saturation of multidimensional 0-1 matrices

  Tsai, S. F., 2023, 於: Discrete Mathematics Letters. 11, p. 91-95 5 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • (0, 1)-matrices 100%
  • Saturation 87%
  • Unit matrix 16%
  • Necessary Conditions 7%
  • Generalization 6%

• Semidefinite programming bounds for binary codes from a split Terwilliger algebra

  Tseng, P. C., Lai, C. Y. & Yu, W. H., 2023, (已被接受) 於: Designs, Codes, and Cryptography.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Terwilliger Algebra 100%
  • Binary codes 79%
  • Semidefinite Programming 72%
  • Binary Code 70%
  • Algebra 66%

• SOME HOMOLOGICAL PROPERTIES OF CATEGORY FOR LIE SUPERALGEBRAS

  Chen, C. W. & Mazorchuk, V., 21 2月 2023, 於: Journal of the Australian Mathematical Society. 114, 1, p. 50-77 28 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Injective Dimension 24%
  • Projective Dimension 22%
  • Socle 21%
  • Injective 16%

• The Clebsch–Gordan Rule for U(sl₂), the Krawtchouk Algebras and the Hamming Graphs

  Huang, H. W., 2023, 於: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 19, 017.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Hamming Graph 100%
  • algebra 66%
  • D-module 44%
  • Denote 43%
  • Algebra 39%
  1 引文 斯高帕斯（Scopus）

• Two problems on random analytic functions in Fock spaces

  Fang, X. & Tien, P. T., 8 8月 2023, 於: Canadian Journal of Mathematics. 75, 4, p. 1176-1198 23 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Fock Space 100%
  • Random Function 99%
  • Analytic function 69%
  • Randomisation 38%
  • Mixed Norm Space 25%

• Upside and downside correlated jump risk premia of currency options and expected returns

  He, J. C., Chang, H. H., Chen, T. F. & Lin, S. K., 12月 2023, 於: Financial Innovation. 9, 1, 90.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Currency Options 100%
  • Jump Risk 99%
  • Risk Premia 83%
  • Expected Returns 72%
  • Jump 50%

• Wave propagation in N-species Lotka-Volterra competition systems with diffusion

  Hsu, C. H. & Lin, J. J., 15 10月 2023, 於: Journal of Mathematical Analysis and Applications. 526, 2, 127255.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Competition System 100%
  • Lotka-Volterra System 87%
  • Wave Propagation 80%
  • Wave propagation 78%
  • Traveling Wave Solutions 73%

• Whittaker Categories, Properly Stratified Categories and Fock Space Categorification for Lie Superalgebras

  Chen, C. W., Cheng, S. J. & Mazorchuk, V., 7月 2023, 於: Communications in Mathematical Physics. 401, 1, p. 717-768 52 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Categorification 100%
  • Fock Space 83%
  • Lie Superalgebra 81%
  • quotients 42%
  • Functor 28%
• 2022

  3D Map Exploration Using Topological Fourier Sparse Set

  Lu, B. X. & Tseng, K. S., 4月 2022, 於: Journal of Intelligent and Robotic Systems: Theory and Applications. 104, 4, 75.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Set theory 100%
  • Unmanned aerial vehicles (UAV) 36%
  • Robotics 29%
  • Experiments 13%
  1 引文 斯高帕斯（Scopus）

• Adaptive submodular inverse reinforcement learning for spatial search and map exploration

  Wu, J. J. & Tseng, K. S., 2月 2022, 於: Autonomous Robots. 46, 2, p. 321-347 27 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Reinforcement learning 100%
  • NP-hard 32%
  • Learning algorithms 27%
  • Experiments 11%
  1 引文 斯高帕斯（Scopus）

• A discontinuity capturing shallow neural network for elliptic interface problems

  Hu, W. F., Lin, T. S. & Lai, M. C., 15 11月 2022, 於: Journal of Computational Physics. 469, 111576.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Interface Problems 100%
  • Neural Networks 76%
  • Elliptic Problems 74%
  • Discontinuity 72%
  • discontinuity 72%
  4 引文 斯高帕斯（Scopus）

• A GAUSSIAN VERSION OF LITTLEWOOD'S THEOREM FOR RANDOM POWER SERIES

  Cheng, G., Fang, X., Guo, K. & Liu, C., 1 8月 2022, 於: Proceedings of the American Mathematical Society. 150, 8, p. 3525-3536 12 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Random Function 100%
  • Gaussian Process 86%
  • Power series 82%
  • Functional Analysis 46%
  • Bounded Operator 44%

• A hybrid-line-and-curve search globalization technique for inexact Newton methods

  Cai, S. R. & Hwang, F. N., 3月 2022, 於: Applied Numerical Mathematics. 173, p. 79-93 15 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Inexact Newton Methods 100%
  • Globalization 99%
  • Newton-Raphson method 79%
  • Damping 55%
  • Line Search 53%

• A Littlewood-Type Theorem for Random Bergman Functions

  Cheng, G., Fang, X. & Liu, C., 1 7月 2022, 於: International Mathematics Research Notices. 2022, 14, p. 11056-11091 36 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Hardy Space 100%
  • Regularity 71%
  • Dirichlet Space 65%
  • Theorem 61%
  • Bergman Space 59%
  1 引文 斯高帕斯（Scopus）

• A NONLINEAR ELIMINATION PRECONDITIONED INEXACT NEWTON ALGORITHM

  Liu, L., Hwang, F. N., Luo, L., Cai, X. C. & Keyes, D. E., 2022, 於: SIAM Journal on Scientific Computing. 44, 3, p. A1579-A1605

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Transonic flow 100%
  • Elimination 74%
  • Newton-Raphson method 42%
  • Ducts 37%
  • Mach number 37%
  1 引文 斯高帕斯（Scopus）

• A NOTE ON THE PROPAGATION DYNAMICS IN A NONLOCAL DISPERSAL HIV INFECTION MODEL

  Yang, Y., Hsu, C. H., Zou, L. & Zhou, J., 1 11月 2022, 於: Proceedings of the American Mathematical Society. 150, 11, p. 4867-4877 11 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • HIV Infection 100%
  • Traveling Wave 74%
  • Propagation 67%
  • Wave Speed 43%
  • Asymptotic Behavior 39%

• Applications of an extended geometric Brownian motion degradation model

  Hsu, Y. S., Chen, P. C., Lee, M. Y. & Wu, C. H., 2022, 於: Communications in Statistics - Theory and Methods. 51, 7, p. 2139-2153 15 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Geometric Brownian Motion 100%
  • Degradation 91%
  • Brightness 65%
  • First Passage Time 34%
  • Model 24%

• A reduced model for a phoretic swimmer

  Farutin, A., Rizvi, M. S., Hu, W. F., Lin, T. S., Rafaï, S. & Misbah, C., 10 12月 2022, 於: Journal of Fluid Mechanics. 952, A6.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Reduced Model 100%
  • Model 25%
  • locomotion 19%
  • Straight 18%
  • Ordinary differential equations 16%
  2 引文 斯高帕斯（Scopus）

• A shallow Ritz method for elliptic problems with singular sources

  Lai, M. C., Chang, C. C., Lin, W. S., Hu, W. F. & Lin, T. S., 15 11月 2022, 於: Journal of Computational Physics. 469, 111547.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Delta functions 100%
  • Ritz Method 93%
  • Delta Function 82%
  • Elliptic Problems 63%
  • delta function 61%
  3 引文 斯高帕斯（Scopus）

• A simple and effective multi-focus image fusion method based on local standard deviations enhanced by the guided filter

  You, C. S. & Yang, S. Y., 4月 2022, 於: Displays. 72, 102146.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Image fusion 100%
  • Pixels 64%
  5 引文 斯高帕斯（Scopus）

• Asymptotics of G-equivariant Szegő kernels

  Huang, R. T. & Shao, G., 6月 2022, 於: Annals of Global Analysis and Geometry. 61, 4, p. 869-893 25 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Equivariant 100%
  • kernel 73%
  • CR Manifold 34%
  • Group 32%
  • Compact Lie Group 29%

• BLOCKS AND CHARACTERS OF D(2|1; ζ)-MODULES OF NON-INTEGRAL WEIGHTS

  Chen, C. W., Cheng, S. J. & Luo, L., 12月 2022, 於: Transformation Groups. 27, 4, p. 1223-1250 28 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Character 69%
  • Module 60%
  • Reduction Method 50%
  • Classify 35%

• Combined Acupoints for the Treatment of Patients with Obesity: An Association Rule Analysis

  Lu, P. H., Chen, Y. Y., Tsai, F. M., Liao, Y. L., Huang, H. F., Yu, W. H. & Kuo, C. Y., 2022, 於: Evidence-based Complementary and Alternative Medicine. 2022, 7252213.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Acupuncture Points 100%
  • Obesity 56%
  • Randomized Controlled Trials 20%
  • Boidae 14%
  • Therapeutics 13%
  2 引文 斯高帕斯（Scopus）

• CRITICAL TRAVELING WAVE SOLUTIONS FOR A VACCINATION MODEL WITH GENERAL INCIDENCE

  Yang, Y., Zhou, J. & Hsu, C. H., 3月 2022, 於: Discrete and Continuous Dynamical Systems - Series B. 27, 3, p. 1209-1225 17 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Vaccination 100%
  • Traveling Wave Solutions 82%
  • Incidence 80%
  • Wave Speed 39%
  • Model 27%
  2 引文 斯高帕斯（Scopus）

• Double-barrier option pricing equations under extended geometric Brownian motion with bankruptcy risk

  Hsu, Y. S., Chen, P. C. & Wu, C. H., 5月 2022, 於: Statistics and Probability Letters. 184, 109383.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Double Barrier Options 100%
  • Bankruptcy 91%
  • Barrier Options 87%
  • Geometric Brownian Motion 80%
  • Option Pricing 70%
  1 引文 斯高帕斯（Scopus）

• Finite-dimensional irreducible modules of the universal DAHA of type (C ₁^∨,C ₁)

  Huang, H. W., 2022, 於: Linear and Multilinear Algebra. 70, 15, p. 2856-2883 28 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Affine Hecke Algebra 100%
  • Irreducible Module 90%
  • Generator 11%
  • Module 10%
  • Roots of Unity 8%
  3 引文 斯高帕斯（Scopus）

• GLOBAL ATTRACTIVITY OF A NONLOCAL REACTION-DIFFUSION VIRAL INFECTION MODEL

  Yang, Y., Zou, L. & Hsu, C. H., 2022, 於: Proceedings of the American Mathematical Society. 150, 7, p. 2901-2911 11 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Global Attractivity 100%
  • Reaction-diffusion 92%
  • Infection 82%
  • Cell 41%
  • Endemic Equilibrium 30%

• GLOBAL ENTROPY SOLUTIONS AND ZERO RELAXATION LIMIT FOR GREENBERG-KLAR-RASCLE MULTILANE TRAFFIC FLOW MODEL

  Chou, S. W., Hong, J. M., Lee, H-Y. & Lin, Y. C., 12月 2022, 於: SIAM Journal on Mathematical Analysis. 54, 6, p. 5949-5980 32 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Traffic Flow Model 100%
  • Relaxation Limit 99%
  • Entropy Solution 76%
  • Relaxation 61%
  • Entropy 55%

• Green’s function of heat equation for heterogeneous media in 3-D

  Cheng, C. H. A., Liu, T. P. & Yu, S. H., 2022, (已被接受) 於: Communications in Partial Differential Equations.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Heterogeneous Media 100%
  • Green's function 90%
  • Conductivity 83%
  • 3D 82%
  • Heat 74%

• Hardy spaces associated to self-adjoint operators on general domains

  Duong, X. T., Lee, M-Y., Li, J. & Lin, C. C., 2022, (已被接受) 於: Collectanea Mathematica.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Self-adjoint Operator 100%
  • Hardy Space 99%
  • Interpolation 86%
  • Boundedness 80%
  • Singular Integrals 73%

• Machine Learning-Based Technique for the Severity Classification of Sublingual Varices according to Traditional Chinese Medicine

  Lu, P. H., Chiang, C. C., Yu, W. H., Yu, M. C. & Hwang, F. N., 2022, 於: Computational and Mathematical Methods in Medicine. 2022, 3545712.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Traditional Chinese Medicine 100%
  • Sublingual 98%
  • Veins 80%
  • Machine Learning 67%
  • Varicose Veins 67%
  2 引文 斯高帕斯（Scopus）

• Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting

  Han, Y., Lee, M. Y., Li, J. & Wick, B. D., 9月 2022, 於: Memoirs of the American Mathematical Society. 279, 1373, p. 1-117 117 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Littlewood-Paley Theory 100%
  • Atomic Decomposition 87%
  • Riesz Transform 85%
  • Maximal Function 77%
  • Mathematical transformations 71%

• Numerical range of the Foguel–Halmos operator

  Gau, H. L., Wang, K. Z. & Wu, P. Y., 2022, 於: Studia Mathematica. 263, 3, p. 267-292 26 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Numerical Range 100%
  • Numerical Radius 55%
  • Thing 42%
  • Operator 39%
  • Upper and Lower Bounds 35%
  1 引文 斯高帕斯（Scopus）

• Numerical ranges of Hankel matrices

  Gau, H. L. & Wu, P. Y., 1 10月 2022, 於: Linear Algebra and Its Applications. 650, p. 60-74 15 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Hankel Operator 100%
  • Hankel Matrix 98%
  • Numerical Range 96%
  • Line segment 57%
  • Hermitian Operators 35%

• On the Coefficients of the Equivariant Szegő Kernel Asymptotic Expansions

  Hsiao, C. Y., Huang, R. T. & Shao, G., 1月 2022, 於: Journal of Geometric Analysis. 32, 1, 31.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Equivariant 100%
  • Asymptotic Expansion 92%
  • kernel 73%
  • Coefficient 53%
  • CR Manifold 46%

• On threefold canonical thresholds

  Chen, J. J., 6 8月 2022, 於: Advances in Mathematics. 404, 108447.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Threefolds 100%
  • Chain Condition 28%
  • Interval 13%

• Parabolic Category for Periplectic Lie Superalgebras

  Chen, C. W. & Peng, Y. N., 2022, (已被接受) 於: Transformation Groups.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Tilting Modules 80%
  • Classify 47%
  • Character 46%
  • Kazhdan-Lusztig Polynomial 43%
  1 引文 斯高帕斯（Scopus）

• People search via deep compressed sensing techniques

  Lu, B. X., Tsai, Y. C. & Tseng, K. S., 2 7月 2022, 於: Robotica. 40, 7, p. 2320-2348 29 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Compressed Sensing 100%
  • Compressed sensing 84%
  • Set theory 47%
  • Search Problems 36%
  • Sparse Coding 27%
  1 引文 斯高帕斯（Scopus）

• Peripherality in networks: theory and applications

  Geneson, J. & Tsai, S. F., 6月 2022, 於: Journal of Mathematical Chemistry. 60, 6, p. 1021-1079 59 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Network theory (graphs) 100%
  • Chemical reactions 81%
  • Computational complexity 66%
  • Centrality 65%
  • Graph in graph theory 28%
  2 引文 斯高帕斯（Scopus）