82 citations · 876 across the 71 of their papers we have counts for
6 papers · 1 filter
Neural Network Representations of Multiphase Equations of State
George A. Kevrekidis, Daniel A. Serino, Alexander Kaltenborn +3
Equations of State model relations between thermodynamic variables and are ubiquitous in scientific modelling, appearing in modern day applications ranging from Astrophysics to Cli…
Coarse-Graining Hamiltonian Systems Using WSINDy
Daniel A. Messenger, Joshua W. Burby, David M. Bortz
The Weak-form Sparse Identification of Nonlinear Dynamics algorithm (WSINDy) has been demonstrated to offer coarse-graining capabilities in the context of interacting particle syst…
Metriplectic particle-in-cell integrators for the Landau collision operator
Eero Hirvijoki, Michael Kraus, Joshua W. Burby
In this paper, we present a new framework for addressing the nonlinear Landau collision operator in terms of particle-in-cell methods. We employ the underlying metriplectic structu…
Comment on "Symplectic integration of magnetic systems": a proof that the Boris algorithm is not variational
C. L. Ellison, J. W. Burby, H. Qin
The Boris algorithm for integrating charged particle trajectories in electric and magnetic fields is popular due to its simple implementation, rapid iteration, and observed long-te…
Initializing and stabilizing variational multistep algorithms for modeling dynamical systems
C. L. Ellison, J. W. Burby, J. M. Finn +2
Backward error initialization and parasitic mode control are well-suited for use in algorithms that arise from a discrete variational principle on phase-space dynamics. Dynamical s…
VEST: abstract vector calculus simplification in Mathematica
Jonathan Squire, Joshua Burby, Hong Qin
We present a new package, VEST (Vector Einstein Summation Tools), that performs abstract vector calculus computations in Mathematica. Through the use of index notation, VEST is abl…