2 papers
math.NA2026
A Convex Splitting Spectral Method for the Phase Field Crystal Equation: Energy Stability, Computational Stability Maps, and Three-Dimensional GPU Simulations
Saulo Orizaga, Peimeng Yin, Deep Choudhuri
We present an efficient Fourier spectral method based on the convex splitting framework of Eyre~\cite{eyre1998unconditionally} for the phase field crystal (PFC) equation. The propo…
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…