Department of Mathematics

Projects

Projects per year 2012 2015 2016 2017 2018 2019 2020 2021 2022 2910

• 10 Not started
• 28 Active
• 132 Finished

Projects per year

Search results

• Finished

  none

  Tseng, K.

  1/01/22 → 31/12/22

  Project: Research

• K穩定與對數規範邊界之計算(1/2)

  Chen, J.

  1/08/21 → 31/07/22

  Project: Research

• Q-多項式距離正則圖及加法雙仿射哈克代數(1/2)

  Huang, H.

  1/08/21 → 31/07/22

  Project: Research

  • modules 100%
  • algebra 76%
  • integers 39%
  • operators 28%
  • symmetry 23%

• Generalization and Applications of Research Methods of Type a Finite W-Superalgebras(2/2)

  Peng, Y.

  1/08/21 → 30/09/22

  Project: Research

  • Lie Superalgebra 100%
  • Superalgebra 58%
  • Tilting Modules 45%
  • Classify 27%
  • Character 26%

• Deep Inverse Reinforcement Learning for Informative Path Planning(3/3)

  Tseng, K.

  1/08/21 → 31/07/22

  Project: Research

  • Compressed Sensing 100%
  • Reinforcement learning 89%
  • Set theory 85%
  • Compressed sensing 84%
  • Motion planning 70%

• The Study of Vacuum States in Nonlinear Hyperbolic Balance Laws in Sciences and Engineering(2/2)

  Lee, H.

  1/08/21 → 31/07/22

  Project: Research

  • Vacuum 100%
  • Balance Laws 60%
  • Riemann Problem 39%
  • Hyperbolic PDEs 32%
  • Global Existence 31%

• 具有未知模式試驗誤差之群組試驗的穩健參數估計法(1/2)

  Huang, S.

  1/08/21 → 31/07/22

  Project: Research

• 雙曲型偏微分方程問題的平行化預處理時空迭代演算法(1/2)

  Hwang, F.

  1/08/21 → 31/07/22

  Project: Research

• Problems in Random Operator Theory(3/4)

  Fang, X.

  1/08/21 → 31/07/22

  Project: Research

  • Operator Theory 100%
  • Infinite-dimensional Spaces 74%
  • Random Operators 58%
  • Matrix Theory 25%
  • Random Sets 25%

• 非線性守恆律的廣域解(1/2)

  Hong, J. M.

  1/08/21 → 31/07/22

  Project: Research

• 反映擴散系統及網格型方程之動態行為(1/2)

  Hsu, C.

  1/08/21 → 31/07/22

  Project: Research

• The John-Stromberg Inequality and Vmo Type Spaces(2/3)

  Lin, C.

  1/08/21 → 31/07/22

  Project: Research

  • Affine Space 100%
  • Regularity Theory 54%
  • Monge-Ampère Equation 53%
  • Entire Solution 52%
  • Measure space 47%

• 古典李超代數的Whittaker範疇(1/3)

  Chen, C.

  1/08/21 → 31/07/22

  Project: Research

• Optimal Spherical Codes and Designs(2/4)

  Yu, W.

  1/08/21 → 31/07/22

  Project: Research

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

• FlagHardy空間理論(1/2)

  Lee, M.

  1/08/21 → 31/07/22

  Project: Research

• The Study of Vacuum States in Nonlinear Hyperbolic Balance Laws in Sciences and Engineering(1/2)

  Lee, H.

  1/08/20 → 31/07/21

  Project: Research

  • Vacuum 100%
  • Balance Laws 60%
  • Riemann Problem 39%
  • Hyperbolic PDEs 32%
  • Global Existence 31%

• Special Hamiltonian Circle Actions on Symplectic 4-Manifolds and Lagrangian Surfaces

  Yau, M.

  1/08/20 → 31/07/21

  Project: Research

  • 4-manifold 100%
  • Lagrangian Surfaces 88%
  • Circle Action 80%
  • Hamiltonian Actions 79%
  • Fibration 30%

• Adaptive Variational Models and Numerical Computations for Imaging Processing(2/3)

  Yang, S.

  1/08/20 → 31/07/21

  Project: Research

  • Image fusion 100%
  • Image processing 33%
  • Image denoising 25%
  • Image resolution 22%
  • Image segmentation 20%

• Problems in Random Operator Theory(2/4)

  Fang, X.

  1/08/20 → 31/07/21

  Project: Research

  • Random Sets 100%
  • Zero set 99%
  • Fock Space 88%
  • Operator Theory 43%
  • Sufficient Conditions 38%

• 昆克自轉的數學建模與數值方法

  Hu, W. F.

  1/08/20 → 31/07/22

  Project: Research

  • boundary integral method 100%
  • electrohydrodynamics 88%
  • metal spinning 69%
  • proposals 65%
  • broken symmetry 62%

• The John-Stromberg Inequality and Vmo Type Spaces(1/3)

  Lin, C.

  1/08/20 → 31/07/21

  Project: Research

  • Doubling 100%
  • Besov Spaces 96%
  • Embedding Theorem 53%
  • Affine Space 53%
  • Characterization 48%

• Deep Inverse Reinforcement Learning for Informative Path Planning(2/3)

  Tseng, K.

  1/08/20 → 31/07/21

  Project: Research

  • Unmanned Aerial Vehicle 100%
  • Telerobotics 66%
  • Learning 59%
  • Reinforcement Learning 48%
  • Unmanned aerial vehicles (UAV) 45%

• Analysis of the Fractional Sub-Laplacian I

  Nhieu, D.

  1/08/20 → 31/07/21

  Project: Research

  • Sub-Laplacian 100%
  • Fractional 54%
  • Harnack Inequality 45%
  • Nonnegative Solution 41%
  • Context 23%

• Interaction and Stability of Traveling Waves for Lattice Dynamical System and Reaction-Diffusion Equations(3/3)

  Hsu, C.

  1/08/20 → 31/07/21

  Project: Research

  • Lattice Dynamical System 100%
  • Traveling Wave 59%
  • Traveling Wave Solutions 41%
  • Asymptotic Behavior 36%
  • Global Attractivity 30%

• Generalization and Applications of Research Methods of Type a Finite W-Superalgebras(1/2)

  Peng, Y.

  1/08/20 → 31/07/21

  Project: Research

  • Superalgebra 100%
  • Lie Superalgebra 73%
  • Research Methods 31%
  • Affine Hecke Algebra 30%
  • Nilpotent Element 28%

• Convergence Rate and Invariant Measures of Spdes(1/2)

  Shiu, S.

  1/08/20 → 31/07/21

  Project: Research

  • Invariant Measure 100%
  • Convergence Rate 88%
  • Stochastic Heat Equation 69%
  • Allen-Cahn Equation 68%
  • Random Noise 67%

• Some Fluid-Structure Interacting and Incompressible Limit Problems in Mathematical Fluid Mechanics(1/2)

  Cheng, C.

  1/08/20 → 31/07/21

  Project: Research

  • Incompressible Limit 100%
  • Coriolis Force 68%
  • Diffeomorphism 44%
  • Vesicles 35%
  • Inextensible 32%

• On Problems Related to Euclid-Type Rings

  Leu, M.

  1/08/20 → 31/01/22

  Project: Research

  • Euclid 100%
  • Euclidean ring 76%
  • Ring 62%
  • Pairwise 21%
  • Open Problems 19%

• Nonlinear Hyperbolic Resonant Systems of Balance Laws(2/2)

  Hong, J. M.

  1/08/20 → 31/07/21

  Project: Research

  • Glimm Scheme 100%
  • Balance Laws 55%
  • Riemann Problem 49%
  • Composite 38%
  • Building Blocks 36%

• The Unversial Racah Algebra and Its Applications(4/4)

  Huang, H.

  1/08/20 → 31/07/21

  Project: Research

  • Affine Hecke Algebra 100%
  • Universal Algebra 88%
  • Irreducible Module 75%
  • F-algebra 73%
  • Module 57%

• Dimension Estimation in Sufficient Dimension Reduction through Pseudo-Covariates

  Huang, S.

  1/08/20 → 31/07/21

  Project: Research

  • Random Field 100%
  • Asymptotic Efficiency 95%
  • Principal Component Analysis 89%
  • Asymptotic Normality 87%
  • Sea Surface Temperature 81%

• Optimal Spherical Codes and Designs(1/4)

  Yu, W.

  1/08/20 → 31/07/21

  Project: Research

  • Spherical Codes 100%
  • Spherical Design 96%
  • Equiangular 60%
  • Optimal Codes 56%
  • Sphere packing 28%

• A Study on Some Spectral Invariants on Cauchy-Riemann Manifolds with Group Action(1/2)

  Huang, R.

  1/08/20 → 31/07/21

  Project: Research

  • CR Manifold 100%
  • Szegö Kernel 68%
  • Compact Lie Group 67%
  • kernel 62%
  • Invariant 59%

• The Atomic Decomposition of Flag Hardy Spaces(2/2)

  Lee, M.

  1/08/20 → 31/07/21

  Project: Research

  • Atomic Decomposition 100%
  • Hardy Space 76%
  • Homogeneous Groups 51%
  • Heisenberg Group 41%

• A Study on Numerical Radii of Tensor Products and Hadamard Products of Matrices

  Gau, H.

  1/08/20 → 31/07/21

  Project: Research

  • Numerical Range 100%
  • Numerical Radius 70%
  • Operator 39%
  • Unitary Operator 33%
  • Thing 28%

• 數學圖書期刊服務計畫-桃園中壢地區

  Yang, S.

  1/12/19 → 31/12/20

  Project: Research

• Character Formulae in Category O for Periplectic Lie Superalgebras(1/2)

  Chen, C.

  1/10/19 → 31/07/20

  Project: Research

  • Lie Superalgebra 100%
  • Brauer Algebra 23%
  • Character Formula 21%
  • Functor 21%
  • Character 18%

• Behaviors of Solutions to Stochastic Partial Differential Equations(2/2)

  Shiu, S.

  1/08/19 → 31/07/21

  Project: Research

• The Water Wave Equation and the Incompressible Limit Problems(2/2)

  Cheng, C.

  1/08/19 → 31/07/20

  Project: Research

• A Study on Matrices with Circular Numerical Ranges

  Gau, H.

  1/08/19 → 31/07/20

  Project: Research

  • Unit vector 100%
  • Numerical Radius 72%
  • Weighted Shift 70%
  • Numerical Range 65%
  • Invertible 50%

• Various Methods on Equiangular Lines(2/2)

  Yu, W.

  1/08/19 → 31/07/20

  Project: Research

  • Equiangular 100%
  • Forbidden Subgraph 92%
  • Angle 58%
  • Line 46%
  • Eigenvalue 43%

• Monge-Ampere Singular Integral Operators Acting on Triebel-Lizorkin Spaces

  Lin, C.

  1/08/19 → 31/07/21

  Project: Research

• The Atomic Decomposition of Flag Hardy Spaces(1/2)

  Lee, M.

  1/08/19 → 31/07/20

  Project: Research

  • Space of Homogeneous Type 100%
  • Besov Spaces 77%
  • Atomic Decomposition 47%
  • Hardy Space 36%
  • Quasi-metric 33%

• Interaction and Stability of Traveling Waves for Lattice Dynamical System and Reaction-Diffusion Equations(2/3)

  Hsu, C.

  1/08/19 → 31/07/20

  Project: Research

  • Traveling Wave Solutions 100%
  • Incidence 78%
  • Spatial Heterogeneity 58%
  • Pathogens 57%
  • Reaction-diffusion Equations 53%

• On Stable Rank of Rings, Ge-Rings and Quasi-Euclidean Rings Ii

  Leu, M.

  1/08/19 → 31/07/20

  Project: Research

• Problems in Random Operator Theory(1/4)

  Fang, X.

  1/08/19 → 31/07/20

  Project: Research

  • Operator Theory 100%
  • Infinite-dimensional Spaces 74%
  • Random Operators 58%
  • Matrix Theory 25%
  • Random Sets 25%

• Adaptive Variational Models and Numerical Computations for Imaging Processing(1/3)

  Yang, S.

  1/08/19 → 31/07/20

  Project: Research

  • Image fusion 100%
  • Image processing 33%
  • Image denoising 25%
  • Image resolution 22%
  • Image segmentation 20%

• Nonlinear Hyperbolic Resonant Systems of Balance Laws(1/2)

  Hong, J. M.

  1/08/19 → 31/07/20

  Project: Research

  • Compressible Euler Equations 100%
  • Euler equations 98%
  • Vacuum 86%
  • L1-convergence 57%
  • Approximate Solution 55%

• Discrete Green$S Functions and the Resistance Distances of Networks(3/3)

  Yeh, H.

  1/08/19 → 31/07/21

  Project: Research

• The Unversial Racah Algebra and Its Applications(3/4)

  Huang, H.

  1/08/19 → 31/07/20

  Project: Research

  • Irreducible Module 100%
  • algebra 76%
  • F-algebra 66%
  • Algebra 62%
  • modules 44%