4 papers
Applications and Novel Regularization of the Thin-Film Equation
Khang Ee Pang
The classical no-slip boundary condition of the Navier-Stokes equations fails to describe the spreading motion of a droplet on a substrate due to the missing small-scale physics ne…
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…
A mathematical framework for determining the stability of steady states of reaction-diffusion equations with periodic source terms
Lennon Ó Náraigh, Khang Ee Pang
We develop a mathematical framework for determining the stability of steady states of generic nonlinear reaction-diffusion equations with periodic source terms, in one spatial dime…
cuPentBatch -- A batched pentadiagonal solver for NVIDIA GPUs
Andrew Gloster, Lennon Ó Náraigh, Khang Ee Pang
We introduce cuPentBatch -- our own pentadiagonal solver for NVIDIA GPUs. The development of cuPentBatch has been motivated by applications involving numerical solutions of parabol…