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math.NA2025
Long-time stability analysis of an explicit exponential Runge-Kutta scheme for Cahn-Hilliard equations
Jing Guo
In this paper, we present a comprehensive long-time stability analysis of a second-order explicit exponential Runge--Kutta (ERK2) method for the Cahn--Hilliard (CH) equation. By em…
math.NA2025
An Efficient Unconditionally Energy-Stable Numerical Scheme for Bose--Einstein Condensate
Jing Guo, Cheng Wang, Dong Wang
A numerical framework is proposed and analyzed for computing the ground state of Bose--Einstein condensates. A gradient flow approach is developed, incorporating both a Lagrange mu…
math.NA2024
A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation
Jing Guo, Cheng Wang, Yue Yan +1
In this article we present a refined convergence analysis for a second order accurate in time, fourth order finite difference numerical scheme for the 3-D Cahn-Hilliard equation, w…