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

• 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%

• 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%

• Construction of Mathematics Workshop and Emathschool on Pad Mobile Device

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

  1/08/16 → 31/07/17

  Project: Research

  • Computer program listings 100%
  • Mobile computing 61%
  • Websites 31%
  • Students 26%

• 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%

• On Generalized Euclidean Rings and Quasi-Euclidean Rings

  Leu, M.

  1/08/16 → 31/07/17

  Project: Research

  • Euclidean ring 100%
  • Ring 27%
  • Division 8%
  • Invertible 7%
  • Chain 6%

• 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%

• 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%

• 國小數學題型數位內容實作

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

  1/08/15 → 31/07/16

  Project: Research

  • mathematics 100%
  • website 59%
  • elementary school 59%
  • electronic learning 31%
  • teacher 30%

• 三維度Sarkisov Program有限性之估計與三維法諾(Fano)流形之線性系統維度上界估計

  Chen, J.

  1/08/15 → 31/07/16

  Project: Research

  • Three-dimensional 100%
  • Seshadri Constants 72%
  • Birational Maps 66%
  • Singularity 65%
  • Flip 53%

• 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%

• 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%

• 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

• 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(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%

• Mathematics research promotion center，Library service project(Taoyuan(1/3)

  Hong, J. M.

  1/12/16 → 31/12/17

  Project: Research

• 高斯過程之刻劃與應用

  Hsu, Y.

  1/08/15 → 31/07/16

  Project: Research

• 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%

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

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

  1/08/21 → 30/09/22

  Project: Research

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

• 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%

• 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%

• 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%

• A New Framework of Parallel Multiscale Finite Element Methods and their Applications

  Hwang, F.

  1/08/16 → 31/07/17

  Project: Research

  • Multiscale Methods 100%
  • Finite Element Method 63%
  • Basis Functions 59%
  • Interface Problems 57%
  • pulse detonation engines 49%

• 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%

• 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%

• 矩陣乘積的數值半徑極值之研究

  Gau, H.

  1/08/15 → 31/07/16

  Project: Research

  • Numerical Radius 100%
  • Equality 89%
  • Matrix Product 44%
  • Necessary Conditions 21%
  • Sufficient Conditions 18%

• 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%

• 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%

• 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%

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

  Shiu, S.

  1/08/19 → 31/07/21

  Project: Research

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

  Shiu, S.

  1/08/18 → 31/07/19

  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%

• 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%

• 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%

• Research on the Dynamical Behaviors of Discrete and Continuous Dynamical Systems(1/3)

  Hsu, C.

  1/08/15 → 31/07/16

  Project: Research

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

• 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%

• Primitive Root Problem on Elliptic Curves with Cm

  Chen, Y. J.

  1/08/19 → 31/07/20

  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

• 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

• Exact Isotropic Tori in Symplectic C^M

  Yau, M.

  1/08/16 → 30/11/17

  Project: Research

  • Torus 100%
  • Isotopy 59%
  • Monotone 29%
  • Topology 26%
  • Submanifolds 22%

• 勒讓德曲面之合痕與不變量

  Yau, M.

  1/08/15 → 30/11/16

  Project: Research

  • Submanifolds 100%
  • Isotopy 66%
  • Topology 39%
  • Contact Manifold 34%
  • Symplectic Manifold 30%

• The Study of (T,R) Broadcast Domination and Related Labeling Problems on Graphs

  Liaw, S.

  1/08/16 → 31/07/17

  Project: Research

  • Broadcast 100%
  • Vertex of a graph 87%
  • Grid Graph 67%
  • Domination 51%
  • Labeling 50%

• Topics on Singular Integral Operators over the Unit Disk(1/2)

  Fang, X.

  1/08/15 → 31/07/16

  Project: Research

  • Unit Disk 100%
  • Bounded Domain 60%
  • Potential Operators 50%
  • Riesz Potential 48%
  • Singular Integral Operator 43%

• Topics on Singular Integral Operators over the Unit Disk(2/2)

  Fang, X.

  1/08/16 → 31/07/17

  Project: Research

  • Unit Disk 100%
  • Bounded Domain 60%
  • Potential Operators 50%
  • Riesz Potential 48%
  • Singular Integral Operator 43%

• 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%

• Hyperbolic Systems of Balance Laws in Astrophysics and Biology Sciences

  Hong, J. M.

  1/08/16 → 31/07/17

  Project: Research

  • Astrophysics 100%
  • Balance Laws 94%
  • Hydrodynamics 75%
  • Hyperbolic Systems 75%
  • Biology 73%

• 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%

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

  Hong, J. M.

  1/01/19 → 31/12/19

  Project: Research

• 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%

• Free Boundary Problems Concerning the Interaction of Elastic Shells with Viscous or Invicid Fluids, the Flows in Porous Media with Non-Uniform Porosity(1/2)

  Cheng, C.

  1/08/16 → 31/07/17

  Project: Research

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