2 papers
math.NA2024
IMEX methods for thin-film equations and Cahn-Hilliard equations with variable mobility
Saulo Orizaga, Thomas Witelski
We explore a class of splitting schemes employing implicit-explicit (IMEX) time-stepping to achieve accurate and energy-stable solutions for thin-film equations and Cahn-Hilliard m…
math.AP2024
A Three-dimensional tumor growth model and its boundary instability
Jian-Guo Liu, Thomas Witelski, Xiaoqian Xu +1
In this paper, we investigate the tumor instability by employing both analytical and numerical techniques to validate previous results and extend the analytical findings presented…