3 papers
math.NA2024
Asymptotic stability of many numerical schemes for phase-field modeling
Pansheng Li, Dongling Wang
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…
math.NA2024
Mittag-Leffler stability of complete monotonicity-preserving schemes for time-dependent coefficients sub-diffusion equations
Wen Dong, Dongling Wang
A key characteristic of the anomalous sub-solution equation is that the solution exhibits algebraic decay rate over long time intervals, which is often refered to the Mittag-Leffle…
math.NA2024
Convergence analysis of exponential time differencing scheme for the nonlocal Cahn-Hilliard equation
Danni Zhang, Dongling Wang
In this paper, we present a rigorous proof of the convergence of first order and second order exponential time differencing (ETD) schemes for solving the nonlocal Cahn-Hilliard (NC…