activity
20142021
most citedThe Linear KdV Equation with an Interface

35 citations · 94 across the 7 of their papers we have counts for

collaborators

9 papers

cs.LG2021

Benchmarking AutoML Frameworks for Disease Prediction Using Medical Claims

Roland Albert A. Romero, Mariefel Nicole Y. Deypalan, Suchit Mehrotra +4

We ascertain and compare the performances of AutoML tools on large, highly imbalanced healthcare datasets. We generated a large dataset using historical administrative claims inclu…

cs.LG2021★ 1 cited

Modeling differential rates of aging using routine laboratory data; Implications for morbidity and health care expenditure

Alix Jean Santos, Xavier Eugenio Asuncion, Camille Rivero-Co +4

Aging is a multidimensional process where phenotypes change at varying rates. Longitudinal studies of aging typically involve following a cohort of individuals over the course of s…

math-ph2018

Revivals and Fractalisation in the Linear Free Space Schrödinger Equation

Peter J Olver, Natalie E Sheils, David A Smith

We consider the one-dimensional linear free space Schrödinger equation on a bounded interval subject to homogeneous linear boundary conditions. We prove that, in the case of pseudo…

math.AP2017

Dispersive Lamb Systems

Peter Olver, Natalie Sheils

Under periodic boundary conditions, a one-dimensional dispersive medium driven by a Lamb oscillator exhibits a smooth response when the dispersion relation is asymptotically linear…

math.AP2017

The time-dependent Schrödinger equation with piecewise constant potentials

Natalie E Sheils, Bernard Deconinck

The linear Schrödinger equation with piecewise constant potential in one spatial dimension is a well-studied textbook problem. It is one of only a few solvable models in quantum me…

math.NA2016

Multilayer diffusion in a composite medium with imperfect contact

Natalie E. Sheils

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in ea…

math.AP2015★ 35 cited

The Linear KdV Equation with an Interface

Bernard Deconinck, Natalie E. Sheils, David A. Smith

The interface problem for the linear Korteweg-de Vries (KdV) equation in one-dimensional piecewise homogeneous domains is examined by constructing an explicit solution in each doma…

math.AP2015★ 26 cited

Heat equation on a network using the Fokas method

N. E. Sheils, D. A. Smith

The problem of heat conduction on networks of multiply connected rods is solved by providing an explicit solution of the one-dimensional heat equation in each domain. The size and…

math-ph2014★ 32 cited

Non-steady state heat conduction in composite walls

Bernard Deconinck, Beatrice Pelloni, Natalie Sheils

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in ea…