4 citations · 9 across the 7 of their papers we have counts for
7 papers
The essential spectrum of periodically stationary pulses in lumped models of short-pulse fiber lasers
Vrushaly Shinglot, John Zweck
In modern short pulse fiber lasers there is significant pulse breathing over each round trip of the laser loop. Consequently, averaged models cannot be used for quantitative modeli…
Spatiotemporal dynamics in a twisted, circular waveguide array
Ross Parker, Yannan Shen, Alejandro Aceves +1
We consider the existence and spectral stability of nonlinear discrete localized solutions representing light pulses propagating in a twisted multi-core optical fiber. By consideri…
A higher order moment preserving reduction scheme for the Stochastic Weighted Particle Method
Sonam Lama, John Zweck, Matthew Goeckner
The Stochastic Weighted Particle Method (SWPM) is a Monte Carlo technique developed by Rjasanow and Wagner that generalizes Bird's Direct Simulation Monte Carlo (DSMC) method for s…
Spectral computation of low probability tails for the homogeneous Boltzmann equation
John Zweck, Yanping Chen, Matthew J. Goeckner +1
We apply the spectral-Lagrangian method of Gamba and Tharkabhushanam for solving the homogeneous Boltzmann equation to compute the low probability tails of the velocity distributio…
The essential spectrum of periodically-stationary solutions of the complex Ginzburg-Landau equation
John Zweck, Yuri Latushkin, Jeremy L. Marzuola +1
We establish the existence and regularity properties of a monodromy operator for the linearization of the cubic-quintic complex Ginzburg-Landau equation about a periodically-statio…
The de Rham-Federer Theory of Differential Characters and Character Duality
F. Reese Harvey, H. Blaine Lawson, John Zweck
The theory of differential characters is developed completely from a de Rham - Federer viewpoint. Characters are defined as equivalence classes of special currents, called sparks,…
Stiefel-Whitney Currents
Reese Harvey, John Zweck
A canonically defined mod 2 linear dependency current is associated to each collection of m sections of a real rank n vector bundle. This current is supported on the linear depende…