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TANG Tao
8
MENG Xucheng
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Cahn-Hilliard equation
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Allen-Cahn equation
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Convergence analysis
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Crank-Nicolson scheme
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Implicit-explicit method
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The Convergence Analysis of a Class of Stabilized Semi-Implicit Isogeometric Methods for the Cahn-Hilliard Equation
Journal article
Journal of Scientific Computing,2025, volume: 102, issue: 1
Authors:
Meng, Xucheng
;
Qin, Yuzhe
;
Hu, Guanghui
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View/Download:4/0
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Submit date:2025/03/10
Cahn-Hilliard equation
Convergence analysis
Energy stability analysis
Isogeometric analysis
Stabilized semi-implicit scheme
Arbitrarily High Order and Fully Discrete Extrapolated RK–SAV/DG Schemes for Phase-field Gradient Flows
Journal article
Journal of Scientific Computing,2022, volume: 93, issue: 2
Authors:
Tang, Tao
;
Wu, Xu
;
Yang, Jiang
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View/Download:14/0
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Submit date:2023/02/14
Allen–Cahn equation
Cahn–Hilliard equation
Convergence and error analysis
Energy stability
Gradient flows
Phase-field models
STABILITY AND CONVERGENCE ANALYSIS FOR THE IMPLICIT-EXPLICIT METHOD TO THE CAHN-HILLIARD EQUATION
Journal article
Mathematics of Computation,2022, volume: 91, issue: 334, pages: 785-809
Authors:
Li, Dong
;
Quan, Chaoyu
;
Tang, Tao
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View/Download:29/0
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Submit date:2022/05/05
Cahn-hilliard equation
Implicit-explicit method
Stability of the Semi-Implicit Method for the Cahn-Hilliard Equation with Logarithmic Potentials
Journal article
Annals of Applied Mathematics,2021, volume: 37, issue: 1, pages: 31-60
Authors:
Li, Dong
;
Tang, Tao
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View/Download:9/0
  |  
Submit date:2022/05/23
Cahn-Hilliard equation
logarithmic kernel
semi-implicit scheme
energy stability
How to Define Dissipation-Preserving Energy for Time-Fractional Phase-Field Equations
Journal article
CSIAM Transactions on Applied Mathematics,2020, volume: 1, issue: 3, pages: 478-490
Authors:
Quan, Chaoyu
;
Tang, Tao
;
Yang, Jiang
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View/Download:13/0
  |  
Submit date:2021/08/05
Phase-field equation
energy dissipation
Caputo fractional derivative
Allen-Cahn equations
Cahn-Hilliard equations
positive definite kernel
On energy dissipation theory and numerical stability for time-fractional phase-field equations
Journal article
SIAM Journal on Scientific Computing,2019, volume: 41, issue: 6, pages: A3757-A3778
Authors:
Tang, Tao
;
Yu, Haijun
;
Zhou, Tao
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View/Download:41/5
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Submit date:2021/04/23
Allen-Cahn equation
Cahn-Hilliard equation
Energy dissipation law
Maximum principle
MBE model
Time-fractional phase-field equations
Convergence analysis of exponential time differencing schemes for the cahn-hilliard equation
Journal article
Communications in Computational Physics,2019, volume: 26, issue: 5, pages: 1510-1529
Authors:
Li, Xiao
;
Ju, Lili
;
Meng, Xucheng
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View/Download:6/0
  |  
Submit date:2022/05/17
Cahn-Hilliard equation
Convergence analysis
Exponential time differencing
Uniform L∞ boundedness
Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
Journal article
Communications in Computational Physics,2016, volume: 19, issue: 5, pages: 1542-1563
Authors:
Luo, Fuesheng
;
Tang, Tao
;
Xie, Hehu
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View/Download:17/0
  |  
Submit date:2021/05/10
Adaptive time-stepping method
Cahn-Hilliard equation
Crank-Nicolson scheme
convex splitting method
Fast and stable explicit operator splitting methods for phase-field models
Journal article
Journal of Computational Physics,2015, volume: 303, pages: 45-65
Authors:
Cheng, Yuanzhen
;
Kurganov, Alexander
;
Qu, Zhuolin
;
Tang, Tao
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View/Download:5/0
  |  
Submit date:2021/05/10
Adaptive time-stepping
Cahn-Hilliard equation
Large stability domain explicit Runge-Kutta methods
Molecular beam epitaxy equation
Operator splitting methods
Phase-field models
Pseudo-spectral methods
Semi-discrete finite-difference schemes
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models
Journal article
East Asian Journal on Applied Mathematics,2013, volume: 3, issue: 1, pages: 59-80
Authors:
Feng, Xinlong
;
Tang, Tao
;
Yang, Jiang
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View/Download:4/0
  |  
Submit date:2021/05/10
Adams-Bashforth scheme
Allen-Cahn equation
Cahn-Hilliard equation
Crank-Nicolson scheme
Error estimates
Implicit-explicit method