2 papers
math.NA2024
A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn-Hilliard Equation
Rainey Lyons, Grigor Nika, Adrian Muntean
We present a finite-volume based numerical scheme for a nonlocal Cahn-Hilliard equation which combines ideas from recent numerical schemes for gradient flow equations and nonlocal…
math.NA2023
High Resolution Finite Difference Schemes for a Size Structured Coagulation-Fragmentation Model in the Space of Radon Measures
Azmy S. Ackleh, Rainey Lyons, Nicolas Saintier
In this paper we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space…