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TANG Tao
4
ZHANG Wei
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Maximum principle
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Allen-Cahn Equations
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Allen-Cahn equation
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Allen-Cahn equations
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Allen–Cahn Equations
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Allen–Cahn equations
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CSIAM Transactions on Appli...
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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:14/0
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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:44/6
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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
Uniform Lp-bound of the allen–cahn equation and its numerical discretization
Journal article
International Journal of Numerical Analysis and Modeling,2018, volume: 15, issue: 1, pages: 213-227
Authors:
Yang, Jiang
;
Du, Qiang
;
Zhang, Wei
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View/Download:10/0
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Submit date:2021/10/19
Allen–Cahn Equations
Fourier spectral methods
Maximum principle
Operator splitting
Uniform Lp-bound
Numerical Analysis of Fully Discretized Crank-Nicolson Scheme for Fractional-in-Space Allen-Cahn Equations
Journal article
Journal of Scientific Computing,2017, volume: 72, issue: 3, pages: 1214-1231
Authors:
Hou, Tianliang
;
Tang, Tao
;
Yang, Jiang
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View/Download:13/0
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Submit date:2021/08/05
Fractional derivatives
Allen–Cahn equations
Finite difference method
Maximum principle
Energy stability
Error analysis
Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle
Journal article
Journal of Computational Mathematics,2016, volume: 34, issue: 5, pages: 451-461
Authors:
Tang, Tao
;
Yang, Jiang
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View/Download:5/0
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Submit date:2021/05/10
Allen-Cahn Equations
Implicit-explicit scheme
Maximum principle
Nonlinear energy stability