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Faculty of Science and Tech...
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TANG Tao
4
MENG Xucheng
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Journal article
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2025
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Energy stability
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convergence analysis
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energy stability
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Allen-Cahn equation
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Allen–Cahn equation
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Allen–Cahn equations
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Journal of Scientific Compu...
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Science China Mathematics
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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
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
Journal article
Science China Mathematics,2021, volume: 64, pages: 887–902
Authors:
Liao, Hong Lin
;
Song, Xuehua
;
Tang, Tao
;
Zhou, Tao
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View/Download:448/0
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Submit date:2021/04/23
convergence analysis
discrete orthogonal convolution kernels
energy stability
molecular beam epitaxial growth
variable-step BDF2 scheme
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
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:11/0
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Submit date:2021/08/05
Fractional derivatives
Allen–Cahn equations
Finite difference method
Maximum principle
Energy stability
Error analysis