Asymptotic stability of many numerical schemes for phase-field modeling
Asymptotic stability of many numerical schemes for phase-field modeling
In the recent breakthrough work \cite{xu2023lack}, a rigorous numerical analysis was conducted on the numerical solution of a scalar ODE containing a cubic polynomial derived from the Allen-Cahn equation. It was found that only the implicit Euler method converge to the correct steady state for any given initial value $u_0$ …