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楊肅煜

Yang, Suh-Yuh

syyang@math.ncu.edu.tw

高教深耕計畫

數學講座-侯一釗(數據中心)
1080101~1081231

國科會計畫統計

深度學習的數學影像處理
1160801~1170731
深度學習的數學影像處理
1150801~1160731
深度學習的數學影像處理
1140801~1150731
強度非均勻圖像分割的數值分析與計算
1130801~1150131
強度非均勻圖像分割的數值分析與計算
1120801~1130731
強度非均勻圖像分割的數值分析與計算
1110801~1120731
影像處理的自適應變分模型與數值計算
1100801~1120731
[影像處理,變分模型,自適應方法,影像對比強化,影像融合,影像超解析度重建 , image processing,variational model,adaptive method,image contrast enhancement,image fusion,image super-resolution reconstruction.]
自然科學及永續研究圖書服務計畫-數學領域(子計畫二)(1/5)
1100101~1111231
[圖書服務計畫 , library service project]
影像處理的自適應變分模型與數值計算
1090801~1100731
[影像處理,變分模型,自適應方法,影像對比強化,影像融合,影像超解析度重建 , image processing,variational model,adaptive method,image contrast enhancement,image fusion,image super-resolution reconstruction.]
數學圖書期刊服務計畫-桃園中壢地區
1081201~1091231
影像處理的自適應變分模型與數值計算
1080801~1090731
[影像處理,變分模型,自適應方法,影像對比強化,影像融合,影像超解析度重建 , image processing,variational model,adaptive method,image contrast enhancement,image fusion,image super-resolution reconstruction.]
數學學門 (應數組) 研究發展及推動計畫
1080101~1081231
[數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion, frontier research in mathematics, grant review]
模擬流構耦合動力行為的高效率數值方法之研究
1070801~1080731
[不可壓縮那維爾-史托克方程,流構耦合,沉浸邊界法,懲罰法,人工壓縮法,直接施力法,投影法, , incompressible Navier-Stokes equations, fluid-structure interaction, immersed boundary method, penalty method, artificial compressibility method, direct-forcing method, projection scheme,]
數學學門(應數組)研究發展及推動計畫
1070101~1071231
[數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion,frontier research in mathematics,grant review]
模擬流構耦合動力行為的高效率數值方法之研究
1060801~1070731
[不可壓縮那維爾-史托克方程,流構耦合,沉浸邊界法,懲罰法,人工壓縮法,直接施力法,投影法, , incompressible Navier-Stokes equations, fluid-structure interaction, immersed boundary method, penalty method, artificial compressibility method, direct-forcing method, projection scheme,]
數學學門(應數組)研究發展及推動計畫
1060101~1061231
[數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion,frontier research in mathematics,grant review]

產學合作計畫統計

開發用於針孔相機模型校準和低秩紋理缺陷檢測的計算最佳化方法
1110801~1120731
[相機校準,計算最佳化,非線性最小平方,缺陷檢測,低秩紋理,轉換不變,穩健主成份分析 , camera calibration,computational optimization,nonlinear least-squares,defect detection,low-rank texture,transform invariant,robust PCA]

期刊著作

Anisotropic pth-order TV-based Retinex decomposition with adaptive reflectance regularizer for low-light image enhancement
Pattern Recognition, 172, 2026-04-01
[ Low-light image enhancement,Noise suppression,Retinex decomposition,Total variation ]
Fractional Laplacian-Enhanced Local-Global Intensity Fitting Energy for Noisy and Inhomogeneous Image Segmentation
Journal of Scientific Computing, 104, 2, 2025-08-01
[ Fractional Laplacian,Intensity inhomogeneity,Iterative convolution-thresholding method,Variational image Segmentation ]
Additive-Bias-Correction Variational Model for Noisy and Intensity-Inhomogeneous Image Segmentation*
SIAM Journal on Imaging Sciences, 18, 2, 1235-1259, 2025-01-01
[ additive bias correction,intensity inhomogeneity,iterative convolution-thresholding method,noise removal,unconditional energy stability,variational image segmentation ]
Efficient variational segmentation with local intensity fitting for noisy and inhomogeneous images
Multimedia Systems, 30, 5, 2024-10-01
[ 65K10,68U10,Intensity inhomogeneity,Iterative convolution-thresholding method,Local intensity fitting energy,Noise,Variational image segmentation ]
An entropy-weighted local intensity clustering-based model for segmenting intensity inhomogeneous images
Multimedia Systems, 30, 1, 2024-02-01
[ Bias correction,Chan-Vese model,Image segmentation,Intensity clustering,Intensity inhomogeneity,Iterative convolution-thresholding scheme,Local entropy,Mumford-Shah model ]
A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems
Advances in Applied Mathematics and Mechanics, 15, 1, 1-29, 2023-01-01
[ direct-forcing method,Fluid-solid interaction,heat transfer,immersed boundary method,projection scheme ]
A simple and effective multi-focus image fusion method based on local standard deviations enhanced by the guided filter
Displays, 72, 2022-04-01
[ Guided filter,Local standard deviation,Local variance,Multi-focus image fusion ]
Adaptive variational model for contrast enhancement of low-light images
SIAM Journal on Imaging Sciences, 13, 1, 1-28, 2020-01-01
[ Adaptive variational model,Contrast enhancement,Image enhancement,Low-light images,Nonuniform illumination ]
A direct-forcing immersed boundary projection method for simulating the dynamics of freely falling solid bodies in an incompressible viscous fluid∗
Annals of Mathematical Sciences and Applications, 5, 1, 75-100, 2020-01-01
[ direct-forcing method,fluid-solid interaction,free falling body,immersed boundary method,Incompressible Navier-Stokes equations,projection scheme,sedimentation ]
Advection-enhanced gradient vector flow for active-contour image segmentation
Communications in Computational Physics, 26, 1, 206-232, 2019-01-01
A simple direct-forcing immersed boundary projection method with prediction-correction for fluid-solid interaction problems
Computers and Fluids, 176, 135-152, 2018-11-15
[ Direct-forcing method , Fluid-solid interaction , Immersed boundary method , Incompressible Navier–Stokes equations , Prediction-correction , Projection scheme ]
A regularization model with adaptive diffusivity for variational image denoising
Signal Processing, 149, 214-228, 2018-08-01
[ Adaptivity , Image denoising , Regularization , Split Bregman iteration , Total variation ]
A mixed H1-conforming finite element method for solving Maxwell's equations with non-H1 solution
SIAM Journal of Scientific Computing, 40, 1, A224-A250, 2018-01-01
[ Babuška-Brezzi inf-sup condition , C elements 1 , Coercivity , Error estimates , H -conforming finite element method 1 , Maxwell's equations , Non-H very weak solution 1 ]
A robust finite difference scheme for strongly coupled systems of singularly perturbed convection-diffusion equations
Numerical Methods for Partial Differential Equations, 34, 1, 121-144, 2018-01-01
[ boundary and interior layers , Il'in-Allen-Southwell scheme , magnetohydrodynamic duct flow , singularly perturbed convection-diffusion equation , strongly coupled system , uniform convergence ]
A new discrete cucker-smale flocking model under hierarchical leadership
Discrete and Continuous Dynamical Systems - Series B, 21, 8, 2587-2599, 2016-10-01
[ Cucker-Smale model , Discrete-Time system. , Emergence behavior , Flocking , Hierarchical lead-ership ]
A new stabilized linear finite element method for solving reaction-convection-diffusion equations
Computer Methods in Applied Mechanics and Engineering, 307, 362-382, 2016-08-01
[ Boundary layer , Interior layer , Reaction-convection-diffusion equation , Stabilization parameter , Stabilized finite element method ]
A Novel Technique for Constructing Difference Schemes for Systems of Singularly Perturbed Equations
Communications in Computational Physics, 19, 5, 1287-1301, 2016-05-01
[ boundary layer,formally second-order scheme,Il'in-Allen-Southwell scheme,interior layer,System of singularly perturbed equations,system of viscous Burgers' equations ]
Effects of network structure on the synchronizability of nonlinearly coupled Hindmarsh-Rose neurons
Physics Letters, Section A: General, Atomic and Solid State Physics, 379, 40-41, 2541-2548, 2015-10-23
[ Coupled dynamical network,Hindmarsh-Rose neuron,Modular network,Scale-free network,Small-world network,Synchronization ]
An Unconditionally Energy Stable Penalty Immersed Boundary Method for Simulating the Dynamics of an Inextensible Interface Interacting with a Solid Particle
Journal of Scientific Computing, 64, 2, 289-316, 2015-08-29
[ Immersed boundary method , Inextensible interface , Penalty method , Solid particle , Stability , Stokes flow ]
Eventual dissipativeness and synchronization of nonlinearly coupled dynamical network of Hindmarsh-Rose neurons
Applied Mathematical Modelling, 39, 21, 6631-6644, 2015-01-01
[ Coupled dynamical network , Eventual dissipativeness , Global synchronization , Hindmarsh-Rose neuron , Lyapunov function , Modular network ]
Computation of Maxwell singular solution by nodal-continuous elements
Journal of Computational Physics, 268, 63-83, 2014-07-01
[ Eigenvalue problem , Interface problem , Maxwell's equations , Nodal-continuous element ]
Analysis of the small viscosity and large reaction coefficient in the computation of the generalized Stokes problem by a novel stabilized finite element method
Computer Methods in Applied Mechanics and Engineering, 271, 23-47, 2014-04-01
[ Generalized Stokes problem , Large reaction coefficient , Small viscosity , Stabilization parameter , Stabilized finite element method ]
Error and attack tolerance of synchronization in Hindmarsh-Rose neural networks with community structure
Physics Letters, Section A: General, Atomic and Solid State Physics, 378, 18-19, 1239-1248, 2014-03-28
[ Centrality,Community structure,Complex network,Failure tolerance,Hindmarsh-Rose neuron,Synchronization ]
An SPD stabilized finite element method for the Stokes equations
IMA Journal of Numerical Analysis, 35, 4, 1812-1841, 2014-02-24
[ H norm -1 , linear finite element solution of the Poisson Dirichlet problem , stabilized finite element method , Stokes equations , symmetric positivedefiniteness ]
A high-accuracy finite difference scheme for solving reaction-convection-diffusion problemswith a small diffusivity
Advances in Applied Mathematics and Mechanics, 6, 5, 637-662, 2014-01-01
[ Boundary layer , Finite difference scheme , Incompressible Navier-Stokes equations , Interior layer , Reaction-convection-diffusion equation ]
Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks
Communications in Nonlinear Science and Numerical Simulation, 19, 4, 1042-1054, 2014-01-01
[ Community structure,Complex network,Epidemic model,Global stability,Lyapunov function ]
Effect of permeability-porosity functions on simulated morphological evolution of a chemical dissolution front
Hydrological Processes, 28, 1, 16-24, 2014-01-01
[ Chemical reaction front , Fair-Hatch model , Kozeny-Carman model , Permeability-porosity relationship , Verma-Pruess model ]
Analysis of a new stabilized finite element method for the reaction-convection-diffusion equations with a large reaction coefficient
Computer Methods in Applied Mechanics and Engineering, 247-248, 15-36, 2012-11-01
[ Boundary layer , Finite element method , Interior layer , Reaction-convection-diffusion equation , Stabilization method ]
Analysis of the permanence of an SIR epidemic model with logistic process and distributed time delay
Communications in Nonlinear Science and Numerical Simulation, 17, 9, 3696-3707, 2012-09-01
[ Asymptotic stability , Permanence , SIR epidemic model , Time delay ]
Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay
Applied Mathematics and Computation, 218, 5, 1682-1693, 2011-11-01
[ Asymptotic stability , Permanence , SIR epidemic model , Time delay ]
A tailored finite point method for solving steady MHD duct flow problems with boundary layers
Communications in Computational Physics, 10, 1, 161-182, 2011-01-01
[ Boundary layers,Convection-dominated problems,Finite difference methods,Hartmann numbers,Magnetohydrodynamic equations,Tailored finite point methods ]
A graph approach to synchronization in complex networks of asymmetrically nonlinear coupled dynamical systems
Journal of the London Mathematical Society, 83, 3, 711-732, 2011-01-01
Two new upwind difference schemes for a coupled system of convection-diffusion equations arising from the steady MHD duct flow problems
Journal of Computational Physics, 229, 24, 9216-9234, 2010-12-10
[ Boundary layers , Convection-diffusion equations , Duct flows , Hartmann numbers , Magnetohydrodynamic equations , Upwind difference schemes ]
A novel least-squares finite e lement method enriched with residual-free bubbles for solving convection-dominated problems
SIAM Journal of Scientific Computing, 32, 4, 2047-2073, 2010-08-23
[ Boundary and interior layers , Convection-dominated problems , Least-squares finite element methods , Residual-free bubbles , Stabilized methods ]
Stability and bifurcation of a two-neuron network with distributed time delays
Nonlinear Analysis: Real World Applications, 11, 3, 1472-1490, 2010-06-01
[ Characteristic equation , Distributed time delay , Hopf bifurcation , Neural network , Normal form , Pitchfork bifurcation ]
Existence of periodic solutions for a system of delay differential equations
Nonlinear Analysis, Theory, Methods and Applications, 71, 12, 6222-6231, 2009-12-15
[ Delay differential equation , Global exponential stability , Lyapunov functional , Periodic solution , Poincaré-Bendixson theorem ]
A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers
Journal of Computational Physics, 228, 22, 8301-8320, 2009-12-01
[ Convection-dominated problems , Finite element methods , Hartmann numbers , Least-squares , Magnetohydrodynamic equations , Residual-free bubbles ]
On efficient least-squares finite element methods for convection-dominated problems
Computer Methods in Applied Mechanics and Engineering, 199, 1-4, 183-196, 2009-12-01
[ Boundary and interior layers , Convection-dominated problems , Finite element methods , Least-squares , Stabilized methods , Streamline diffusion ]
Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays
Chaos, Solitons and Fractals, 41, 3, 1235-1244, 2009-08-15
On two iterative least-squares finite element schemes for the incompressible navier-stokes problem
Numerical Functional Analysis and Optimization, 30, 5-6, 436-461, 2009-05-01
[ Driven cavity flows , Finite element methods , Iterative methods , Least squares , Navier-Stokes equations , Oseen equations ]
Synchronization in delayed Cohen-Grossberg neural networks with bounded external inputs
IMA Journal of Applied Mathematics, 74, 2, 178-200, 2009-04-08
[ Cohen-Grossberg neural networks , Discrete time delays , Distributed time delays , Exponential synchronization , Lyapunov functionals ]
Global attractivity in delayed Cohen-Grossberg neural network models
Chaos, Solitons and Fractals, 39, 4, 1975-1987, 2009-02-28
Synchronization in linearly coupled dynamical networks with distributed time delays
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 18, 7, 2039-2047, 2008-01-01
[ Coupled Chua's circuits , Coupled Hindmarsh-Rose neurons , Distributed time delays , Exponential synchronization , Linearly coupled dynamical networks ]
Diversity of traveling wave solutions in delayed cellular neural networks
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 18, 12, 3515-3550, 2008-01-01
[ Comparison principle , Delayed cellular neural networks , Lattice dynamical systems , Method of step , Monotone iteration scheme , Traveling waves ]
Analysis of the [L2,L2,L2] least-squares finite element method for incompressible oseen-type problems
International Journal of Numerical Analysis and Modeling, 4, 3-4, 402-424, 2007-12-01
[ Finite element methods , Least squares , Navier-Stokes equations , Oseen-type equations ]
A further analysis on harmless delays in Cohen-Grossberg neural networks
Chaos, Solitons and Fractals, 34, 2, 646-653, 2007-10-01
Analysis of a splitting method for incompressible inviscid rotational flow problems
Journal of Computational and Applied Mathematics, 200, 1, 364-376, 2007-03-01
[ Finite element methods , Incompressible inviscid rotational flows , Least squares , Velocity-vorticity-pressure formulation ]
Analysis of the L2 least-squares finite element method for a velocity-vorticity problem arising in incompressible inviscid rotational flows
Applied Mathematics and Computation, 185, 1, 604-613, 2007-02-01
[ Finite element methods , Incompressible inviscid rotational flows , Least squares ]
Exponential synchronization in drive-response systems of hopfield-type neural networks with time delays
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 17, 11, 4167-4176, 2007-01-01
[ Discrete time delays , Distributed time delays , Drive-response systems , Exponential synchronization , Lyapunov functional , Neural networks ]
On periodic solutions of a two-neuron network system with sigmoidal activation functions
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 16, 5, 1405-1417, 2006-01-01
[ Contraction mapping theorem , Dulac's criterion , Liapunov functions , Neural networks , Periodic solutions , Poincaré-Bendixson theorem ]
On the velocity-vorticity-pressure least-squares finite element method for the stationary incompressible Oseen problem
Journal of Computational and Applied Mathematics, 182, 1, 211-232, 2005-10-01
[ Driven cavity flows , Least-squares finite element methods , Navier-stokes equations , Oseen equations , Velocity-vorticity-pressure formulation ]
On a conjecture in D-optimal designs with n ≡ 0 mod 4
Linear Algebra and Its Applications, 400, 1-3, 279-290, 2005-05-01
[ D-optimal designs , Fisher's inequality , Hadamard's inequality ]
Structure of a class of traveling waves in delayed cellular neural networks
Discrete and Continuous Dynamical Systems, 13, 2, 339-359, 2005-01-01
[ Delayed cellular neural network , Lattice dynamical system , Method of step , Traveling wave ]
Existence of monotonic traveling waves in lattice dynamical systems
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 15, 8, 2375-2394, 2005-01-01
[ Cellular neural networks , Lattice dynamical systems , Monotone iteration methods , Standing waves , Traveling waves ]
Analysis of [H-1, L2, L2] first-order system least squares for the incompressible Oseen type equations
Applied Numerical Mathematics, 52, 1, 77-88, 2005-01-01
[ Finite element methods , First-order system least squares , Navier-Stokes equations , Oseen type equations , Velocity-vorticity-Bernoulli pressure formulation , Velocity-vorticity-pressure formulation ]
Wave propagation in RTD-based cellular neural networks
Journal of Differential Equations, 204, 2, 339-379, 2004-09-20
[ Discrete Fisher equation , Discrete Nagumo equation , Lattice dynamical systems , Monotone iteration methods , RTD-based cellular neural networks , Standing waves , Traveling waves ]
On camel-like traveling wave solutions in cellular neural networks
Journal of Differential Equations, 196, 2, 481-514, 2004-01-20
[ Camel-like traveling waves , Cellular neural networks , Lattice dynamical systems , Oscillating traveling waves ]
Error analysis of the L2 least-Squares finite element method for incompressible inviscid rotational flows
Numerical Methods for Partial Differential Equations, 20, 6, 831-842, 2004-01-01
[ Euler equations,Incompressible inviscid rotational flows,Least-squares finite element methods,Standing vortex problems,Velocity-vorticity-pressure formulation ]
On the subdomain-Galerkin/least squares method for 2- and 3-D mixed elliptic problems with reaction terms
Numerical Methods for Partial Differential Equations, 18, 6, 738-751, 2002-11-01
[ Error estimates , Finite volume methods , Least-squares methods , Mixed elliptic problems , Raviart-Thomas spaces ]
Analysis of piecewise linear approximations to the generalized stokes problem in the velocity-stress-pressure formulation
Journal of Computational and Applied Mathematics, 147, 1, 53-73, 2002-10-01
[ Elasticity equations , Finite volume methods , Generalized stokes equations , Least squares , Velocity-stress-pressure formulation ]
Analysis of the L2 least-squares finite element method for the velocity-vorticity-pressure Stokes equations with velocity boundary conditions
Applied Mathematics and Computation, 130, 1, 121-144, 2002-07-25
[ A priori error estimates , Condition numbers , Convergence , Least-squares finite element methods , Stability , Velocity-vorticity-pressure Stokes equations ]
Analysis of least-squares approximations to second-order elliptic problems. I. Finite element method
Numerical Functional Analysis and Optimization, 23, 3-4, 419-432, 2002-05-01
[ A posteriori error estimates , A priori error estimates , Elliptic problems , Finite element methods , Least squares ]
Analysis of least-squares approximations to second-order elliptic problems. II. Finite volume method
Numerical Functional Analysis and Optimization, 23, 3-4, 433-451, 2002-05-01
[ A posteriori error estimates , A priori error estimates , Elliptic problems , Finite volume methods , Least squares ]
Least-squares finite element approximations to the Timoshenko beam problem
Applied Mathematics and Computation, 115, 1, 63-75, 2000-10-06
Analysis of a least squares finite element method for the circular arch problem
Applied Mathematics and Computation, 114, 2-3, 263-278, 2000-09-11
[ A posteriori error estimator , Circular arch problem , Finite element method , Least squares , Locking phenomenon ]
Analysis of a two-stage least-squares finite element method for the planar elasticity problem
Mathematical Methods in the Applied Sciences, 22, 9, 713-732, 1999-06-01
Analysis of least squares finite element methods for a parameter-dependent first-order system
Numerical Functional Analysis and Optimization, 19, 1-2, 191-213, 1998-01-01
[ Convergence , Elasticity equations , Error estimates , Finite elements , Least squares , Poisson's ratios , Stokes equations ]
Error analysis of a weighted least-squares finite element method for 2-D incompressible flows in velocity-stress-pressure formulation
Mathematical Methods in the Applied Sciences, 21, 18, 1637-1654, 1998-01-01
[ Finite element method , Generalized Stokes equations , Incompressible flow , Least-squares ]
A Two-Stage Least-Squares Finite Element Method for the Stress-Pressure-Displacement Elasticity Equations
Numerical Methods for Partial Differential Equations, 14, 3, 297-315, 1998-01-01
[ Elasticity equations , Error estimates , Finite elements , Least-squares ]
A unified analysis of a weighted least squares method for first-order systems
Applied Mathematics and Computation, 92, 1, 9-27, 1998-01-01
[ Adn elliptic systems , Boundary value problems , Convergence , Error estimates , First-order systems , Friedrichs' systems , Least squares methods ]
On the convergence and stability of the standard least squares finite element method for first-order elliptic systems
Applied Mathematics and Computation, 93, 1, 51-62, 1998-01-01
[ Convergence , Finite elements , Least squares , Stability ]
Least-squares finite element methods for the elasticity problem
Journal of Computational and Applied Mathematics, 87, 1, 39-60, 1997-12-18
[ Convergence , Elasticity , Elliptic systems , Error estimates , Finite elements , Least squares , Poisson ratios ]
A least-squares finite element method for incompressible flow in stress-velocity-pressure version
Computer Methods in Applied Mechanics and Engineering, 128, 1-2, 1-9, 1995-12-01

校內獲獎

115 研究傑出獎
114 優良論文貢獻獎
113 研究傑出獎
110 特聘教授
107 特聘教授
106 研究傑出獎

期刊編輯

106 ~ 109 Taiwanese Journal of Mathematics ISSN 1027-5487 EISSN 2224-6851
Editorial Board (2017/08-2020/07), Acting Editor-in-Chief (2018/10-2019/02)

楊肅煜

Yang, Suh-Yuh

現職

專長

專長簡述

最高學歷

相關連結

科技部學門領域

政府GRB研究專長領域

教育部學門領域

高教深耕計畫

數學講座-侯一釗(數據中心) 1080101~1081231

國科會計畫統計

深度學習的數學影像處理 1160801~1170731

深度學習的數學影像處理 1150801~1160731

深度學習的數學影像處理 1140801~1150731

強度非均勻圖像分割的數值分析與計算 1130801~1150131

強度非均勻圖像分割的數值分析與計算 1120801~1130731

強度非均勻圖像分割的數值分析與計算 1110801~1120731

自然科學及永續研究圖書服務計畫-數學領域(子計畫二)(1/5) 1100101~1111231 [圖書服務計畫 , library service project]

數學圖書期刊服務計畫-桃園中壢地區 1081201~1091231

數學學門 (應數組) 研究發展及推動計畫 1080101~1081231 [數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion, frontier research in mathematics, grant review]

數學學門(應數組)研究發展及推動計畫 1070101~1071231 [數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion,frontier research in mathematics,grant review]

數學學門(應數組)研究發展及推動計畫 1060101~1061231 [數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion,frontier research in mathematics,grant review]

產學合作計畫統計

期刊著作

Anisotropic pth-order TV-based Retinex decomposition with adaptive reflectance regularizer for low-light image enhancement Pattern Recognition, 172, 2026-04-01 [ Low-light image enhancement,Noise suppression,Retinex decomposition,Total variation ]

Fractional Laplacian-Enhanced Local-Global Intensity Fitting Energy for Noisy and Inhomogeneous Image Segmentation Journal of Scientific Computing, 104, 2, 2025-08-01 [ Fractional Laplacian,Intensity inhomogeneity,Iterative convolution-thresholding method,Variational image Segmentation ]

Efficient variational segmentation with local intensity fitting for noisy and inhomogeneous images Multimedia Systems, 30, 5, 2024-10-01 [ 65K10,68U10,Intensity inhomogeneity,Iterative convolution-thresholding method,Local intensity fitting energy,Noise,Variational image segmentation ]

A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems Advances in Applied Mathematics and Mechanics, 15, 1, 1-29, 2023-01-01 [ direct-forcing method,Fluid-solid interaction,heat transfer,immersed boundary method,projection scheme ]

A simple and effective multi-focus image fusion method based on local standard deviations enhanced by the guided filter Displays, 72, 2022-04-01 [ Guided filter,Local standard deviation,Local variance,Multi-focus image fusion ]

Adaptive variational model for contrast enhancement of low-light images SIAM Journal on Imaging Sciences, 13, 1, 1-28, 2020-01-01 [ Adaptive variational model,Contrast enhancement,Image enhancement,Low-light images,Nonuniform illumination ]

Advection-enhanced gradient vector flow for active-contour image segmentation Communications in Computational Physics, 26, 1, 206-232, 2019-01-01

A regularization model with adaptive diffusivity for variational image denoising Signal Processing, 149, 214-228, 2018-08-01 [ Adaptivity , Image denoising , Regularization , Split Bregman iteration , Total variation ]

A new discrete cucker-smale flocking model under hierarchical leadership Discrete and Continuous Dynamical Systems - Series B, 21, 8, 2587-2599, 2016-10-01 [ Cucker-Smale model , Discrete-Time system. , Emergence behavior , Flocking , Hierarchical lead-ership ]

Computation of Maxwell singular solution by nodal-continuous elements Journal of Computational Physics, 268, 63-83, 2014-07-01 [ Eigenvalue problem , Interface problem , Maxwell's equations , Nodal-continuous element ]

An SPD stabilized finite element method for the Stokes equations IMA Journal of Numerical Analysis, 35, 4, 1812-1841, 2014-02-24 [ H norm -1 , linear finite element solution of the Poisson Dirichlet problem , stabilized finite element method , Stokes equations , symmetric positivedefiniteness ]

Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks Communications in Nonlinear Science and Numerical Simulation, 19, 4, 1042-1054, 2014-01-01 [ Community structure,Complex network,Epidemic model,Global stability,Lyapunov function ]

Effect of permeability-porosity functions on simulated morphological evolution of a chemical dissolution front Hydrological Processes, 28, 1, 16-24, 2014-01-01 [ Chemical reaction front , Fair-Hatch model , Kozeny-Carman model , Permeability-porosity relationship , Verma-Pruess model ]

Analysis of the permanence of an SIR epidemic model with logistic process and distributed time delay Communications in Nonlinear Science and Numerical Simulation, 17, 9, 3696-3707, 2012-09-01 [ Asymptotic stability , Permanence , SIR epidemic model , Time delay ]

Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay Applied Mathematics and Computation, 218, 5, 1682-1693, 2011-11-01 [ Asymptotic stability , Permanence , SIR epidemic model , Time delay ]

A graph approach to synchronization in complex networks of asymmetrically nonlinear coupled dynamical systems Journal of the London Mathematical Society, 83, 3, 711-732, 2011-01-01

Stability and bifurcation of a two-neuron network with distributed time delays Nonlinear Analysis: Real World Applications, 11, 3, 1472-1490, 2010-06-01 [ Characteristic equation , Distributed time delay , Hopf bifurcation , Neural network , Normal form , Pitchfork bifurcation ]

Existence of periodic solutions for a system of delay differential equations Nonlinear Analysis, Theory, Methods and Applications, 71, 12, 6222-6231, 2009-12-15 [ Delay differential equation , Global exponential stability , Lyapunov functional , Periodic solution , Poincaré-Bendixson theorem ]

Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays Chaos, Solitons and Fractals, 41, 3, 1235-1244, 2009-08-15

Synchronization in delayed Cohen-Grossberg neural networks with bounded external inputs IMA Journal of Applied Mathematics, 74, 2, 178-200, 2009-04-08 [ Cohen-Grossberg neural networks , Discrete time delays , Distributed time delays , Exponential synchronization , Lyapunov functionals ]

Global attractivity in delayed Cohen-Grossberg neural network models Chaos, Solitons and Fractals, 39, 4, 1975-1987, 2009-02-28

Analysis of the [L2,L2,L2] least-squares finite element method for incompressible oseen-type problems International Journal of Numerical Analysis and Modeling, 4, 3-4, 402-424, 2007-12-01 [ Finite element methods , Least squares , Navier-Stokes equations , Oseen-type equations ]

A further analysis on harmless delays in Cohen-Grossberg neural networks Chaos, Solitons and Fractals, 34, 2, 646-653, 2007-10-01

Analysis of a splitting method for incompressible inviscid rotational flow problems Journal of Computational and Applied Mathematics, 200, 1, 364-376, 2007-03-01 [ Finite element methods , Incompressible inviscid rotational flows , Least squares , Velocity-vorticity-pressure formulation ]

Analysis of the L2 least-squares finite element method for a velocity-vorticity problem arising in incompressible inviscid rotational flows Applied Mathematics and Computation, 185, 1, 604-613, 2007-02-01 [ Finite element methods , Incompressible inviscid rotational flows , Least squares ]

On a conjecture in D-optimal designs with n ≡ 0 mod 4 Linear Algebra and Its Applications, 400, 1-3, 279-290, 2005-05-01 [ D-optimal designs , Fisher's inequality , Hadamard's inequality ]

Structure of a class of traveling waves in delayed cellular neural networks Discrete and Continuous Dynamical Systems, 13, 2, 339-359, 2005-01-01 [ Delayed cellular neural network , Lattice dynamical system , Method of step , Traveling wave ]

On camel-like traveling wave solutions in cellular neural networks Journal of Differential Equations, 196, 2, 481-514, 2004-01-20 [ Camel-like traveling waves , Cellular neural networks , Lattice dynamical systems , Oscillating traveling waves ]

Analysis of least-squares approximations to second-order elliptic problems. I. Finite element method Numerical Functional Analysis and Optimization, 23, 3-4, 419-432, 2002-05-01 [ A posteriori error estimates , A priori error estimates , Elliptic problems , Finite element methods , Least squares ]

Analysis of least-squares approximations to second-order elliptic problems. II. Finite volume method Numerical Functional Analysis and Optimization, 23, 3-4, 433-451, 2002-05-01 [ A posteriori error estimates , A priori error estimates , Elliptic problems , Finite volume methods , Least squares ]

Least-squares finite element approximations to the Timoshenko beam problem Applied Mathematics and Computation, 115, 1, 63-75, 2000-10-06

Analysis of a least squares finite element method for the circular arch problem Applied Mathematics and Computation, 114, 2-3, 263-278, 2000-09-11 [ A posteriori error estimator , Circular arch problem , Finite element method , Least squares , Locking phenomenon ]

Analysis of a two-stage least-squares finite element method for the planar elasticity problem Mathematical Methods in the Applied Sciences, 22, 9, 713-732, 1999-06-01

Analysis of least squares finite element methods for a parameter-dependent first-order system Numerical Functional Analysis and Optimization, 19, 1-2, 191-213, 1998-01-01 [ Convergence , Elasticity equations , Error estimates , Finite elements , Least squares , Poisson's ratios , Stokes equations ]

A Two-Stage Least-Squares Finite Element Method for the Stress-Pressure-Displacement Elasticity Equations Numerical Methods for Partial Differential Equations, 14, 3, 297-315, 1998-01-01 [ Elasticity equations , Error estimates , Finite elements , Least-squares ]

A unified analysis of a weighted least squares method for first-order systems Applied Mathematics and Computation, 92, 1, 9-27, 1998-01-01 [ Adn elliptic systems , Boundary value problems , Convergence , Error estimates , First-order systems , Friedrichs' systems , Least squares methods ]

On the convergence and stability of the standard least squares finite element method for first-order elliptic systems Applied Mathematics and Computation, 93, 1, 51-62, 1998-01-01 [ Convergence , Finite elements , Least squares , Stability ]

Least-squares finite element methods for the elasticity problem Journal of Computational and Applied Mathematics, 87, 1, 39-60, 1997-12-18 [ Convergence , Elasticity , Elliptic systems , Error estimates , Finite elements , Least squares , Poisson ratios ]

A least-squares finite element method for incompressible flow in stress-velocity-pressure version Computer Methods in Applied Mechanics and Engineering, 128, 1-2, 1-9, 1995-12-01

校內獲獎

期刊編輯

數學講座-侯一釗(數據中心)
1080101~1081231

深度學習的數學影像處理
1160801~1170731

深度學習的數學影像處理
1150801~1160731

深度學習的數學影像處理
1140801~1150731

強度非均勻圖像分割的數值分析與計算
1130801~1150131

強度非均勻圖像分割的數值分析與計算
1120801~1130731

強度非均勻圖像分割的數值分析與計算
1110801~1120731

自然科學及永續研究圖書服務計畫-數學領域(子計畫二)(1/5)
1100101~1111231
[圖書服務計畫 , library service project]

數學圖書期刊服務計畫-桃園中壢地區
1081201~1091231

數學學門 (應數組) 研究發展及推動計畫
1080101~1081231
[數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion, frontier research in mathematics, grant review]

數學學門(應數組)研究發展及推動計畫
1070101~1071231
[數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion,frontier research in mathematics,grant review]

數學學門(應數組)研究發展及推動計畫
1060101~1061231
[數學學門業務推展,數學學門重點研究領域,計畫審查 , Mathematical research and promotion,frontier research in mathematics,grant review]

Anisotropic pth-order TV-based Retinex decomposition with adaptive reflectance regularizer for low-light image enhancement
Pattern Recognition, 172, 2026-04-01
[ Low-light image enhancement,Noise suppression,Retinex decomposition,Total variation ]

Fractional Laplacian-Enhanced Local-Global Intensity Fitting Energy for Noisy and Inhomogeneous Image Segmentation
Journal of Scientific Computing, 104, 2, 2025-08-01
[ Fractional Laplacian,Intensity inhomogeneity,Iterative convolution-thresholding method,Variational image Segmentation ]

Efficient variational segmentation with local intensity fitting for noisy and inhomogeneous images
Multimedia Systems, 30, 5, 2024-10-01
[ 65K10,68U10,Intensity inhomogeneity,Iterative convolution-thresholding method,Local intensity fitting energy,Noise,Variational image segmentation ]

A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems
Advances in Applied Mathematics and Mechanics, 15, 1, 1-29, 2023-01-01
[ direct-forcing method,Fluid-solid interaction,heat transfer,immersed boundary method,projection scheme ]

A simple and effective multi-focus image fusion method based on local standard deviations enhanced by the guided filter
Displays, 72, 2022-04-01
[ Guided filter,Local standard deviation,Local variance,Multi-focus image fusion ]

Adaptive variational model for contrast enhancement of low-light images
SIAM Journal on Imaging Sciences, 13, 1, 1-28, 2020-01-01
[ Adaptive variational model,Contrast enhancement,Image enhancement,Low-light images,Nonuniform illumination ]

Advection-enhanced gradient vector flow for active-contour image segmentation
Communications in Computational Physics, 26, 1, 206-232, 2019-01-01

A regularization model with adaptive diffusivity for variational image denoising
Signal Processing, 149, 214-228, 2018-08-01
[ Adaptivity , Image denoising , Regularization , Split Bregman iteration , Total variation ]

A new discrete cucker-smale flocking model under hierarchical leadership
Discrete and Continuous Dynamical Systems - Series B, 21, 8, 2587-2599, 2016-10-01
[ Cucker-Smale model , Discrete-Time system. , Emergence behavior , Flocking , Hierarchical lead-ership ]

Computation of Maxwell singular solution by nodal-continuous elements
Journal of Computational Physics, 268, 63-83, 2014-07-01
[ Eigenvalue problem , Interface problem , Maxwell's equations , Nodal-continuous element ]

An SPD stabilized finite element method for the Stokes equations
IMA Journal of Numerical Analysis, 35, 4, 1812-1841, 2014-02-24
[ H norm -1 , linear finite element solution of the Poisson Dirichlet problem , stabilized finite element method , Stokes equations , symmetric positivedefiniteness ]

Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks
Communications in Nonlinear Science and Numerical Simulation, 19, 4, 1042-1054, 2014-01-01
[ Community structure,Complex network,Epidemic model,Global stability,Lyapunov function ]

Effect of permeability-porosity functions on simulated morphological evolution of a chemical dissolution front
Hydrological Processes, 28, 1, 16-24, 2014-01-01
[ Chemical reaction front , Fair-Hatch model , Kozeny-Carman model , Permeability-porosity relationship , Verma-Pruess model ]

Analysis of the permanence of an SIR epidemic model with logistic process and distributed time delay
Communications in Nonlinear Science and Numerical Simulation, 17, 9, 3696-3707, 2012-09-01
[ Asymptotic stability , Permanence , SIR epidemic model , Time delay ]

Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay
Applied Mathematics and Computation, 218, 5, 1682-1693, 2011-11-01
[ Asymptotic stability , Permanence , SIR epidemic model , Time delay ]

A graph approach to synchronization in complex networks of asymmetrically nonlinear coupled dynamical systems
Journal of the London Mathematical Society, 83, 3, 711-732, 2011-01-01

Stability and bifurcation of a two-neuron network with distributed time delays
Nonlinear Analysis: Real World Applications, 11, 3, 1472-1490, 2010-06-01
[ Characteristic equation , Distributed time delay , Hopf bifurcation , Neural network , Normal form , Pitchfork bifurcation ]

Existence of periodic solutions for a system of delay differential equations
Nonlinear Analysis, Theory, Methods and Applications, 71, 12, 6222-6231, 2009-12-15
[ Delay differential equation , Global exponential stability , Lyapunov functional , Periodic solution , Poincaré-Bendixson theorem ]

Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays
Chaos, Solitons and Fractals, 41, 3, 1235-1244, 2009-08-15

Synchronization in delayed Cohen-Grossberg neural networks with bounded external inputs
IMA Journal of Applied Mathematics, 74, 2, 178-200, 2009-04-08
[ Cohen-Grossberg neural networks , Discrete time delays , Distributed time delays , Exponential synchronization , Lyapunov functionals ]

Global attractivity in delayed Cohen-Grossberg neural network models
Chaos, Solitons and Fractals, 39, 4, 1975-1987, 2009-02-28

Analysis of the [L2,L2,L2] least-squares finite element method for incompressible oseen-type problems
International Journal of Numerical Analysis and Modeling, 4, 3-4, 402-424, 2007-12-01
[ Finite element methods , Least squares , Navier-Stokes equations , Oseen-type equations ]

A further analysis on harmless delays in Cohen-Grossberg neural networks
Chaos, Solitons and Fractals, 34, 2, 646-653, 2007-10-01

Analysis of a splitting method for incompressible inviscid rotational flow problems
Journal of Computational and Applied Mathematics, 200, 1, 364-376, 2007-03-01
[ Finite element methods , Incompressible inviscid rotational flows , Least squares , Velocity-vorticity-pressure formulation ]

Analysis of the L2 least-squares finite element method for a velocity-vorticity problem arising in incompressible inviscid rotational flows
Applied Mathematics and Computation, 185, 1, 604-613, 2007-02-01
[ Finite element methods , Incompressible inviscid rotational flows , Least squares ]

On a conjecture in D-optimal designs with n ≡ 0 mod 4
Linear Algebra and Its Applications, 400, 1-3, 279-290, 2005-05-01
[ D-optimal designs , Fisher's inequality , Hadamard's inequality ]

Structure of a class of traveling waves in delayed cellular neural networks
Discrete and Continuous Dynamical Systems, 13, 2, 339-359, 2005-01-01
[ Delayed cellular neural network , Lattice dynamical system , Method of step , Traveling wave ]

On camel-like traveling wave solutions in cellular neural networks
Journal of Differential Equations, 196, 2, 481-514, 2004-01-20
[ Camel-like traveling waves , Cellular neural networks , Lattice dynamical systems , Oscillating traveling waves ]

Analysis of least-squares approximations to second-order elliptic problems. I. Finite element method
Numerical Functional Analysis and Optimization, 23, 3-4, 419-432, 2002-05-01
[ A posteriori error estimates , A priori error estimates , Elliptic problems , Finite element methods , Least squares ]

Analysis of least-squares approximations to second-order elliptic problems. II. Finite volume method
Numerical Functional Analysis and Optimization, 23, 3-4, 433-451, 2002-05-01
[ A posteriori error estimates , A priori error estimates , Elliptic problems , Finite volume methods , Least squares ]

Least-squares finite element approximations to the Timoshenko beam problem
Applied Mathematics and Computation, 115, 1, 63-75, 2000-10-06

Analysis of a least squares finite element method for the circular arch problem
Applied Mathematics and Computation, 114, 2-3, 263-278, 2000-09-11
[ A posteriori error estimator , Circular arch problem , Finite element method , Least squares , Locking phenomenon ]

Analysis of a two-stage least-squares finite element method for the planar elasticity problem
Mathematical Methods in the Applied Sciences, 22, 9, 713-732, 1999-06-01

Analysis of least squares finite element methods for a parameter-dependent first-order system
Numerical Functional Analysis and Optimization, 19, 1-2, 191-213, 1998-01-01
[ Convergence , Elasticity equations , Error estimates , Finite elements , Least squares , Poisson's ratios , Stokes equations ]

A Two-Stage Least-Squares Finite Element Method for the Stress-Pressure-Displacement Elasticity Equations
Numerical Methods for Partial Differential Equations, 14, 3, 297-315, 1998-01-01
[ Elasticity equations , Error estimates , Finite elements , Least-squares ]

A unified analysis of a weighted least squares method for first-order systems
Applied Mathematics and Computation, 92, 1, 9-27, 1998-01-01
[ Adn elliptic systems , Boundary value problems , Convergence , Error estimates , First-order systems , Friedrichs' systems , Least squares methods ]

On the convergence and stability of the standard least squares finite element method for first-order elliptic systems
Applied Mathematics and Computation, 93, 1, 51-62, 1998-01-01
[ Convergence , Finite elements , Least squares , Stability ]

Least-squares finite element methods for the elasticity problem
Journal of Computational and Applied Mathematics, 87, 1, 39-60, 1997-12-18
[ Convergence , Elasticity , Elliptic systems , Error estimates , Finite elements , Least squares , Poisson ratios ]

A least-squares finite element method for incompressible flow in stress-velocity-pressure version
Computer Methods in Applied Mechanics and Engineering, 128, 1-2, 1-9, 1995-12-01