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

• Development and Promotion of Applied Mathematics Research in Mathematics Division

  Yang, S.

  1/01/18 → 31/12/18

  Project: Research

  • mathematics 100%
  • Taiwan 18%

• Realization of Finite W-Superalgebras by Super Yangians(3/4)

  Peng, H. M. N. E. T. J.

  1/08/18 → 31/07/19

  Project: Research

• Analytic Torsion and Geometric Quantization on Complex and Cr Manifolds(1/2)

  Huang, R.

  1/08/18 → 31/07/19

  Project: Research

• Informative Canonical Correlation Analysis with Applications to Image Data(1/2)

  Huang, S.

  1/09/18 → 31/07/19

  Project: Research

• Bmo Spaces Associated with a Family of General Sets(2/3)

  Lin, C.

  1/08/18 → 31/07/19

  Project: Research

  • Hardy Space 100%
  • Singular Integrals 92%
  • Boundedness 63%
  • Singular Integral Operator 38%
  • Product Space 37%

• Design and Analysis of Algorithms for (T,R) Broadcast Domination Problems(2/2)

  Liaw, S.

  1/08/18 → 31/07/19

  Project: Research

  • Subdivision 100%
  • Labeling 99%
  • Graph in graph theory 49%
  • Vertex of a graph 37%
  • Broadcast 34%

• Various Methods on Equiangular Lines(1/2)

  Yu, W.

  1/10/18 → 31/07/19

  Project: Research

• Properties of Quasismooth Weighted Complete Intersections and the Study of Seshadri Constants

  Chen, J.

  1/08/18 → 31/07/19

  Project: Research

  • Seshadri Constants 100%
  • Complete Intersection 70%
  • Calabi-Yau 24%
  • Flip 24%
  • Projective plane 22%

• Nonlinear Balance Laws in Applied Sciences(2/2)

  Hong, J. M.

  1/08/18 → 31/07/19

  Project: Research

  • Nonlinear systems 100%
  • Gradient 89%
  • Singular Perturbation 83%
  • gradients 76%
  • System theory 66%

• A Study on Equality Case of Some Numerical Radius Inequalities

  Gau, H.

  1/08/18 → 31/07/19

  Project: Research

  • Numerical Radius 100%
  • Equality 59%
  • Aluthge Transform 39%
  • Polar decomposition 33%
  • Characterization 13%

• Behaviors of Solutions to Stochastic Partial Differential Equations(1/2)

  Shiu, S.

  1/08/18 → 31/07/19

  Project: Research

• Interaction and Stability of Traveling Waves for Lattice Dynamical System and Reaction-Diffusion Equations(1/3)

  Hsu, C.

  1/08/18 → 31/07/19

  Project: Research

  • Cooperative Systems 100%
  • Traveling Wavefronts 99%
  • Competitive System 96%
  • cooperatives 75%
  • Lattice Dynamical System 36%

• The Water Wave Equation and the Incompressible Limit Problems(1/2)

  Cheng, C.

  1/08/18 → 31/07/19

  Project: Research

• Random Weighted Shifts(2/2)

  Fang, X.

  1/08/18 → 31/07/19

  Project: Research

  • Weighted Shift 100%
  • Fock Space 77%
  • Random Sets 77%
  • Zero set 76%
  • Operator Theory 35%

• Characterization of Flag Hardy Space by Maximal Functions(2/2)

  Lee, M.

  1/08/18 → 31/07/19

  Project: Research

  • Singular Integral Operator 100%
  • Doubling 71%
  • Boundedness 70%
  • Hardy Space 64%
  • Triebel-Lizorkin Space 54%

• Discrete Green$S Functions and the Resistance Distances of Networks(2/3)

  Yeh, H.

  1/08/18 → 31/07/19

  Project: Research

• The Unversial Racah Algebra and Its Applications(2/4)

  Huang, H.

  1/08/18 → 31/07/19

  Project: Research

• On Efficient Numerical Methods for Simulating the Dynamics of Fluid-Structure Interaction Problems(2/2)

  Yang, S.

  1/08/18 → 31/07/19

  Project: Research

  • Contrast Enhancement 100%
  • Variational Model 74%
  • Image denoising 62%
  • advection 61%
  • Pixels 40%

• Near-Optimal Search Using Uavs in 3d Environments

  Tseng, K.

  1/10/18 → 30/09/19

  Project: Research

  • Telerobotics 100%
  • Unmanned Aerial Vehicle 90%
  • Remote control 76%
  • Reinforcement Learning 73%
  • Robotics 64%

• Trajectory Optimization Problem: Parallel Aglorithm Developement and Its Application in Space Mission(2/2)

  Hwang, F.

  1/08/18 → 31/10/19

  Project: Research

  • Trajectories 100%
  • Launch vehicles 53%
  • Newton-Raphson method 52%
  • Constrained optimization 52%
  • Ordinary differential equations 51%

• Development and Promotion of Applied Mathematics Research in Mathematics Division

  Yang, S.

  1/01/19 → 31/12/19

  Project: Research

• Mathematics research promotion center，Library service project(Taoyuan(3/3)

  Hong, J. M.

  1/01/19 → 31/12/19

  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%

• 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%

• 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%

• 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%

• Deep Inverse Reinforcement Learning for Informative Path Planning(1/3)

  Tseng, K.

  1/08/19 → 31/07/20

  Project: Research

  • Robotics 100%
  • Compressed sensing 93%
  • Remote control 84%
  • Robots 59%
  • Robot applications 54%

• 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%

• The Study of Blocking Dominating Sets and Related Labeling Problems on Cartesian Product of Graphs

  Liaw, S.

  1/08/19 → 31/07/20

  Project: Research

  • Domination number 100%
  • Graph in graph theory 44%
  • Multiset 18%
  • Bipartite Graph 14%
  • Connected graph 12%

• 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%

• 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%

• 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%

• Primitive Root Problem on Elliptic Curves with Cm

  Chen, Y. J.

  1/08/19 → 31/07/20

  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%

• Extension, Restriction of Sub-Elliptic Besov Space on Domains

  Nhieu, D.

  1/08/19 → 31/07/20

  Project: Research

• Realization of Finite W-Superalgebras by Super Yangians(4/4)

  Peng, H. M. N. E. T. J.

  1/08/19 → 31/07/20

  Project: Research

  • Lie Superalgebra 100%
  • Superalgebra 68%
  • Nilpotent Element 38%
  • Tilting Modules 26%
  • Subalgebra 25%

• Informative Canonical Correlation Analysis with Applications to Image Data(2/2)

  Huang, S.

  1/08/19 → 31/10/20

  Project: Research

  • Testing 100%
  • Binary Response Model 93%
  • Random Field 90%
  • Asymptotic Efficiency 85%
  • Principal Component Analysis 81%

• 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

• Birationality of Pluricanonical System |5k| on Irregular Projective Threefolds of General Type

  Chen, J.

  1/08/19 → 31/07/21

  Project: Research

• 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%

• 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%

• 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%

• 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%

• Bmo Spaces Associated with a Family of General Sets(3/3)

  Lin, C.

  1/08/19 → 31/07/21

  Project: Research

  • Singular Integral Operator 100%
  • Besov Spaces 78%
  • Doubling 54%
  • Space of Homogeneous Type 50%
  • Triebel-Lizorkin Space 46%

• 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%

• Invariant Measure for Semi-Discrete Stochastic Heat Equation

  Shiu, S.

  1/08/19 → 31/07/21

  Project: Research

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

  Peng, H. M. N. E. T. J.

  1/08/20 → 31/07/21

  Project: Research

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