12 citations · 18 across the 2 of their papers we have counts for
3 papers
math.NA2017
High-Order Accurate FDTD Schemes for Dispersive Maxwell's Equations in Second-Order Form Using Recursive Convolutions
Michael J. Jenkinson, Jeffrey W. Banks
We propose a novel finite-difference time-domain (FDTD) scheme for the solution of the Maxwell's equations in which linear dispersive effects are present. The method uses high-orde…
nlin.PS2016★ 12 cited
Discrete Solitary Waves in Systems with Nonlocal Interactions and the Peierls-Nabarro Barrier
Michael Jenkinson, Michael I. Weinstein
We study a class of discrete focusing nonlinear Schr{ö}dinger equations (DNLS) with general nonlocal interactions. We prove the existence of onsite and offsite discrete solitary wa…
nlin.PS2014★ 6 cited
On-Site and Off-Site Bound States of the Discrete Nonlinear Schrödinger Equation and the Peierls-Nabarro Barrier
Michael Jenkinson, Michael I. Weinstein
We construct multiple families of solitary standing waves of the discrete cubically nonlinear Schrödinger equation (DNLS) in dimensions and . These states are obtained v…