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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
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
收藏
  |  
浏览/下载:13/0
  |  
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
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  |  
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
A High Order Semi-Lagrangian Discontinuous Galerkin Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model Without Operator Splitting
期刊论文
Journal of Scientific Computing,2019, 卷号: 79, 期号: 2, 页码: 1111-1134
作者:
Cai, Xiaofeng
;
Guo, Wei
;
Qiu, Jing-Mei
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  |  
浏览/下载:25/0
  |  
提交时间:2022/05/10
Adaptive time-stepping method
Discontinuous Galerkin
Guiding center Vlasov model
Incompressible Euler equations
Mass conservative
Non-splitting
Semi-Lagrangian
Numerical Blow-Up of Nonlinear Parabolic Integro-Differential Equations on Unbounded Domain
期刊论文
Journal of Scientific Computing,2016, 卷号: 68, 期号: 3, 页码: 1281-1298
作者:
Brunner, Hermann
;
Tang, Tao
;
Zhang, Jiwei
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  |  
浏览/下载:12/0
  |  
提交时间:2021/05/11
Adaptive time-stepping
Finite time blow-up
Nonlinear absorbing boundary conditions
Nonlinear parabolic integro-differential PDEs
Unbounded spatial domains
Unified approach
Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
期刊论文
Communications in Computational Physics,2016, 卷号: 19, 期号: 5, 页码: 1542-1563
作者:
Luo, Fuesheng
;
Tang, Tao
;
Xie, Hehu
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  |  
浏览/下载:28/0
  |  
提交时间: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
期刊论文
Journal of Computational Physics,2015, 卷号: 303, 页码: 45-65
作者:
Cheng, Yuanzhen
;
Kurganov, Alexander
;
Qu, Zhuolin
;
Tang, Tao
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  |  
浏览/下载:14/0
  |  
提交时间: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
An adaptive time-stepping strategy for the molecular beam epitaxy models
期刊论文
SIAM Journal on Scientific Computing,2011, 卷号: 33, 期号: 3, 页码: 1395-1414
作者:
Qiao, Zhonghua
;
Zhang, Zhengru
;
Tang, Tao
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  |  
浏览/下载:20/0
  |  
提交时间:2021/05/10
Adaptive time-stepping method
Finite difference schemes
Molecular beam epitaxy
Unconditionally energy stable