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

• 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

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

  Huang, R.

  1/08/19 → 31/07/21

  Project: Research

  • Morse Inequalities 100%
  • Equivariant 62%
  • CR Manifold 56%
  • kernel 45%
  • Index Theorem 41%

• 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%

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

  Lin, C.

  1/08/19 → 31/07/21

  Project: Research

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

  Nhieu, D.

  1/08/19 → 31/07/20

  Project: Research

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

  Yeh, H.

  1/08/19 → 31/07/21

  Project: Research

• 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%

• 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%

• 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

• Various Methods on Equiangular Lines(1/2)

  Yu, W.

  1/10/18 → 31/07/19

  Project: Research

• 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%

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

  Huang, S.

  1/09/18 → 31/07/19

  Project: Research

• 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

• 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%

• 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%

• 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%

• 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%

• Mathematics research promotion center，Library service project(Taoyuan(2/3)

  Hong, J. M.

  1/01/18 → 31/12/18

  Project: Research

• Development and Promotion of Applied Mathematics Research in Mathematics Division

  Yang, S.

  1/01/18 → 31/12/18

  Project: Research

  • mathematics 100%
  • Taiwan 18%

• Nonlinear Balance Laws in Applied Sciences(1/2)

  Hong, J. M.

  1/08/17 → 31/07/18

  Project: Research

  • Euler-Poisson Equations 100%
  • Balance Laws 89%
  • Heating 85%
  • Small Parameter 66%
  • Gravitation 47%

• Free Boundary Problems Concerning the Interaction of Elastic Shells with Viscous or Invicid Fluids, the Flows in Porous Media with Non-Uniform Porosity(2/2)

  Cheng, C.

  1/08/17 → 31/07/18

  Project: Research

  • Free Boundary Problem 100%
  • Viscous Fluid 95%
  • Shell 94%
  • Diffeomorphism 89%
  • Interaction 68%

• A Study on Some Geometric Invariants on Manifolds(2/2)

  Huang, R.

  1/08/17 → 31/07/18

  Project: Research

  • Analytic Torsion 100%
  • Manifolds with Boundary 72%
  • CR Manifold 69%
  • Morse Inequalities 47%
  • Index Theorem 39%

• A Study on Operators with Real Parts at Least - I

  Gau, H.

  1/08/17 → 31/07/18

  Project: Research

  • Numerical Range 100%
  • Diagonal of a matrix 65%
  • Line segment 45%
  • One Dimension 41%
  • Half-plane 40%

• Existence and Uniqueness of Solutions to the Variational Non-Linear Neumann Problem

  Nhieu, D.

  1/08/17 → 31/07/18

  Project: Research

  • Variational Solution 100%
  • Sub-Laplacian 98%
  • Neumann Problem 77%
  • Vector Field 60%
  • Existence and Uniqueness 54%

• Discrete Green$S Functions and the Resistance Distances of Networks(1/3)

  Yeh, H.

  1/08/17 → 31/07/18

  Project: Research

• On Efficient Numerical Methods for Simulating the Dynamics of Fluid-Structure Interaction Problems(1/2)

  Yang, S.

  1/08/17 → 31/07/18

  Project: Research

  • Fluid structure interaction 100%
  • Fluids 56%
  • Compressibility 40%
  • Boundary conditions 27%
  • Navier Stokes equations 17%

• Measurement of Singularities via the Birational Map in the Three Dimensional Minimal Model Program

  Chen, J.

  1/08/17 → 31/08/18

  Project: Research

  • Singularity 100%
  • Curve 87%
  • Contraction 80%
  • Birational Maps 67%
  • Minimal Model 55%

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

  Leu, M.

  1/08/17 → 31/07/18

  Project: Research

  • Euclidean ring 100%
  • Ring 85%
  • Stable Rank 30%
  • Integer 11%
  • Concepts 11%

• Design and Analysis of Algorithms for (T,R) Broadcast Domination Problems(1/2)

  Liaw, S.

  1/08/17 → 31/07/18

  Project: Research

  • Broadcast 100%
  • Vertex of a graph 80%
  • Domination 38%
  • Grid Graph 33%
  • Resources 24%

• Random Weighted Shifts(1/2)

  Fang, X.

  1/08/17 → 31/07/18

  Project: Research

  • Operator Theory 100%
  • Weighted Shift 76%
  • Random Operators 38%
  • Matrix Theory 34%
  • Infinite-dimensional Spaces 33%

• Trajectory Optimization Problem: Parallel Aglorithm Developement and Its Application in Space Mission(1/2)

  Hwang, F.

  1/08/17 → 31/07/18

  Project: Research

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

• Characterization of Flag Hardy Space by Maximal Functions(1/2)

  Lee, M.

  1/08/17 → 31/07/18

  Project: Research

  • Hardy Space 100%
  • Littlewood-Paley Function 50%
  • Riesz Transform 42%
  • Surface integral 41%
  • Square Functions 41%

• Research on the Dynamical Behaviors of Discrete and Continuous Dynamical Systems(3/3)

  Hsu, C.

  1/08/17 → 31/10/18

  Project: Research

  • Dynamical Behavior 100%
  • Dynamical system 72%
  • Lattice Dynamical System 71%
  • Travelling Fronts 65%
  • Attractivity 64%

• Realization of Finite W-Superalgebras by Super Yangians(2/4)

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

  1/08/17 → 31/07/18

  Project: Research

• Bmo Spaces Associated with a Family of General Sets(1/3)

  Lin, C.

  1/08/17 → 31/07/18

  Project: Research

• The Unversial Racah Algebra and Its Applications(1/4)

  Huang, H.

  1/08/17 → 31/07/18

  Project: Research