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math.AP2022
Convergence Analysis of the Geometric Thin-Film Equation
Lennon Ó Náraigh, Khang Ee Pang, Richard J. Smith
The Geometric Thin-Film equation is a mathematical model of droplet spreading in the long-wave limit, which includes a regularization of the contact-line singularity. We show that…
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…