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Allen-Cahn equation
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Analysis and numerical methods for nonlocal-in-time Allen-Cahn equation
期刊论文
Numerical Methods for Partial Differential Equations,2024, 卷号: 40, 期号: 6
作者:
Li, Hongwei
;
Yang, Jiang
;
Zhang, Wei
收藏
  |  
浏览/下载:17/0
  |  
提交时间: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
期刊论文
Journal of Computational and Applied Mathematics,2024, 卷号: 448
作者:
Hu, Bingqing
;
Zhang, Wei
;
Zhao, Xuan
收藏
  |  
浏览/下载:15/0
  |  
提交时间: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
期刊论文
Communications in Computational Physics,2023, 卷号: 33, 期号: 4, 页码: 962-991
作者:
Quan, Chaoyu
;
Tang, Tao
;
Wang, Boyi
;
Yang, Jiang
收藏
  |  
浏览/下载:21/0
  |  
提交时间: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
期刊论文
Journal of Scientific Computing,2022, 卷号: 93, 期号: 2
作者:
Tang, Tao
;
Wu, Xu
;
Yang, Jiang
收藏
  |  
浏览/下载:33/0
  |  
提交时间: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
期刊论文
Journal of Scientific Computing,2022, 卷号: 92, 期号: 3
作者:
Fu, Zhaohui
;
Tang, Tao
;
Yang, Jiang
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  |  
浏览/下载:25/0
  |  
提交时间: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
期刊论文
SIAM Journal on Scientific Computing,2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
作者:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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  |  
浏览/下载:14/0
  |  
提交时间: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
期刊论文
Journal of Computational Physics,2020, 卷号: 414
作者:
Liao, Hong lin
;
Tang, Tao
;
Zhou, Tao
收藏
  |  
浏览/下载:93/0
  |  
提交时间: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
期刊论文
SIAM Journal on Numerical Analysis,2020, 卷号: 58, 期号: 4, 页码: 2294–2314
作者:
Liao, Honglin
;
Tang, Tao
;
Zhou, Tao
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  |  
浏览/下载:29/0
  |  
提交时间: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
期刊论文
CSIAM Transactions on Applied Mathematics,2020, 卷号: 1, 期号: 3, 页码: 478-490
作者:
Quan, Chaoyu
;
Tang, Tao
;
Yang, Jiang
收藏
  |  
浏览/下载:23/0
  |  
提交时间: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
期刊论文
SIAM Journal on Scientific Computing,2019, 卷号: 41, 期号: 6, 页码: A3757-A3778
作者:
Tang, Tao
;
Yu, Haijun
;
Zhou, Tao
Adobe PDF(1073Kb)
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收藏
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浏览/下载:72/23
  |  
提交时间:2021/04/23
Allen-Cahn equation
Cahn-Hilliard equation
Energy dissipation law
Maximum principle
MBE model
Time-fractional phase-field equations