173 citations · 813 across the 30 of their papers we have counts for
5 papers · 1 filter
Asymptotic Analysis on the Sharp Interface Limit of the Time-Fractional Cahn--Hilliard Equation
Tao Tang, Boyi Wang, Jiang Yang
In this paper, we aim to study the motions of interfaces and coarsening rates governed by the time-fractional Cahn--Hilliard equation (TFCHE). It is observed by many numerical expe…
Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials
Dong Li, Tao Tang
We consider the two-dimensional Cahn-Hilliard equation with logarithmic potentials and periodic boundary conditions. We employ the standard semi-implicit numerical scheme which tre…
Sharp convergence to steady states of Allen-Cahn
Dong Li, Chaoyu Quan, Tao Tang +1
In our recent work we found a surprising breakdown of symmetry conservation: using standard numerical discretization with very high precision the computed numerical solutions corre…
On symmetry breaking of Allen-Cahn
Dong Li, Chaoyu Quan, Tao Tang +1
We consider numerical solutions for the Allen-Cahn equation with standard double well potential and periodic boundary conditions. Surprisingly it is found that using standard numer…
A new discrete energy technique for multi-step backward difference formulas
Honglin Liao, Tao Tang, Tao Zhou
The backward differentiation formula (BDF) is a useful family of implicit methods for the numerical integration of stiff differential equations. It is well noticed that the stabili…