3 papers
math.NA2025
A unified convergence analysis framework of the energy-stable ETDRK3 schemes for the No-slope-selection thin film model
Jingwei Sun, Haifeng Wang, Hong Zhang +2
This paper establishes a unified framework for the space-time convergence analysis of the energy-stable third-order accurate exponential time differencing Runge-Kutta schemes. By e…
math.NA2024
An exponential-free Runge--Kutta framework for developing third-order unconditionally energy stable schemes for the Cahn--Hilliard equation
Haifeng Wang, Jingwei Sun, Hong Zhang +2
In this work, we develop a class of up to third-order energy-stable schemes for the Cahn--Hilliard equation. Building on Lawson's integrating factor Runge--Kutta method, which is w…
math.NA2024
High-order and Mass-conservative Regularized Implicit-explicit relaxation Runge-Kutta methods for the logarithmic Schrödinger equation
Jingye Yan, Hong Zhang, Yabing Wei +1
The non-differentiability of the singular nonlinearity (such as ) at presents significant challenges in devising accurate and efficient numerical schemes for the…