Showing 2021Show all
2 papers · 1 filter
math.AP2021
A new convergence analysis of the particle method for the Camassa-Holm equation
Lennon Ó Náraigh, Khang Ee Pang, Richard J. Smith
We present a new self-contained convergence analysis of the particle method that can be applied to a range of PDEs, including the Camassa-Holm equation. It is a development of the…
physics.flu-dyn2021
A mathematical model and mesh-free numerical method for contact-line motion in lubrication theory
Khang Ee Pang, Lennon Ó Náraigh
We introduce a mathematical model with a mesh-free numerical method to describe contact-line motion in lubrication theory. We show how the model resolves the singularity at the con…