12 citations · 12 across the 8 of their papers we have counts for
8 papers
Modelling Wave Attenuation by Mangroves: Effects of Root Morphology and Sea-Level Rise
Khang Ee Pang, Zhi Yung Tay
Mangroves are increasingly promoted as nature-based solutions for coastal protection, yet many existing models neglect the vertical variation of vegetation biomass, leading to over…
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…
Symmetry-Breaking in Point-Heated Droplets
Khang Ee Pang, Charles Cuvillier, Yutaku Kita +1
We investigate theoretically the stability of thermo-capillary convection within a droplet when heated by a point source from below. To model the droplet, we use a mathematical mod…
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…
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…
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…