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ENERGY DIMINISHING IMPLICIT-EXPLICIT RUNGE–KUTTA METHODS FOR GRADIENT FLOWS
Journal article
Mathematics of Computation,2024, volume: 93, issue: 350, pages: 2745-2767
Authors:
Fu, Zhaohui
;
Tang, Tao
;
Yang, Jiang
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View/Download:9/0
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Submit date:2024/11/04
energy stability
gradient flows
IMEX Runge–Kutta
phase field equations
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:43/6
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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
On effective numerical methods for phase-field models
Conference paper
Proceedings of the International Congress of Mathematicians, ICM 2018, Rio de Janeiro, 2018.8.1-2018.8.9
Authors:
Tang, Tao
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View/Download:21/0
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Submit date:2021/05/10
Adaptivity
Energy stability
Phase field equations
A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows
Journal article
Communications in Computational Physics,2008, volume: 3, issue: 3, pages: 582-602
Authors:
Di, Yana
;
Li, Ruo
;
Tang, Tao
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View/Download:10/0
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Submit date:2021/05/10
Finite element method
Moving mesh methods
Multi-phase flows
Navier-Stokes equations
Phase field model
Unstructured tetrahedra
A simple moving mesh method for one- and two-dimensional phase-field equations
Conference paper
Journal of Computational and Applied Mathematics, City Univ Hong Kong, Hong Kong, PEOPLES R CHINA, 28 May 2004 through 31 May 2004
Authors:
Tan, Zhijun
;
Tang, Tao
;
Zhang, Zhengru
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Submit date:2021/07/14
Computation of free boundaries
Finite volume method
Moving mesh method
Phase-field equations