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Faculty of Science and Tec...
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TANG Tao
10
ZHANG Wei
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Allen-Cahn equation
5
Maximum principle
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Allen–Cahn equation
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Analysis and numerical methods for nonlocal-in-time Allen-Cahn equation
Journal article
Numerical Methods for Partial Differential Equations,2024, volume: 40, issue: 6
Authors:
Li, Hongwei
;
Yang, Jiang
;
Zhang, Wei
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View/Download:5/0
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Submit date:2024/11/04
asymptotic compatibility
energy dissipation law
maximum principle
nonlocal-in-time Allen-Cahn equation
well-posedness
Convergence analysis of the maximum principle preserving BDF2 scheme with variable time-steps for the space fractional Allen–Cahn equation
Journal article
Journal of Computational and Applied Mathematics,2024, volume: 448
Authors:
Hu, Bingqing
;
Zhang, Wei
;
Zhao, Xuan
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View/Download:4/0
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Submit date:2024/11/04
Adaptive time-stepping strategy
Convergence
Modified discrete energy
Space fractional Allen–Cahn equation
Variable-step BDF2
A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations
Journal article
Communications in Computational Physics,2023, volume: 33, issue: 4, pages: 962-991
Authors:
Quan, Chaoyu
;
Tang, Tao
;
Wang, Boyi
;
Yang, Jiang
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View/Download:10/0
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Submit date:2023/06/30
energy dissipation
L1 approximation
L2 approximation
Time-fractional Allen-Cahn equation
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
Energy Plus Maximum Bound Preserving Runge–Kutta Methods for the Allen–Cahn Equation
Journal article
Journal of Scientific Computing,2022, volume: 92, issue: 3
Authors:
Fu, Zhaohui
;
Tang, Tao
;
Yang, Jiang
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View/Download:12/0
  |  
Submit date:2022/09/05
Allen–Cahn equation
Energy dissipation law
Maximum principle
Runge–Kutta methods
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation
Journal article
SIAM Journal on Scientific Computing,2021, volume: 43, issue: 5, pages: A3503-A3526
Authors:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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View/Download:3/0
  |  
Submit date:2022/05/23
time-fractional Allen--Cahn equation
asymptotic preserving
energy stability
maximum principle
adaptive time stepping
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
Journal article
Journal of Computational Physics,2020, volume: 414
Authors:
Liao, Hong lin
;
Tang, Tao
;
Zhou, Tao
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View/Download:78/0
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Submit date:2021/04/23
Adaptive time-stepping strategy
Alikhanov formula
Discrete maximum principle
Sharp error estimate
Time-fractional Allen-Cahn equation
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
Journal article
SIAM Journal on Numerical Analysis,2020, volume: 58, issue: 4, pages: 2294–2314
Authors:
Liao, Honglin
;
Tang, Tao
;
Zhou, Tao
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View/Download:16/0
  |  
Submit date:2021/08/05
Allen-Cahn equation
nonuniform BDF2 scheme
energy stability
discrete maximum principle
convergence analysis
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
Adobe PDF(1073Kb)
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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