104 citations · 1.6k across the 103 of their papers we have counts for
8 papers · 1 filter
Hamiltonian formulation of the gyrokinetic Vlasov-Maxwell equations
J. W. Burby, A. J. Brizard, P. J. Morrison +1
The gyrokinetic Vlasov-Maxwell equations are cast as an infinite-dimensional Hamiltonian system. The gyrokinetic Poisson bracket is remarkably simple and similar to the Morrison-Ma…
Variational integration for ideal magnetohydrodynamics with built-in advection equations
Yao Zhou, Hong Qin, J. W. Burby +1
Newcomb's Lagrangian for ideal magnetohydrodynamics (MHD) in Lagrangian labeling is discretized using discrete exterior calculus. Variational integrators for ideal MHD are derived…
Equivalence of two independent calculations of the higher order guiding center Lagrangian
F. I. Parra, I. Calvo, J. W. Burby +2
The difference between the guiding center phase-space Lagrangians derived in [J.W. Burby, J. Squire, and H. Qin, Phys. Plasmas {\bf 20}, 072105 (2013)] and [F.I. Parra, and I. Calv…
Variational integrators for perturbed non-canonical Hamiltonian systems
J. W. Burby, C. L. Ellison, H. Qin
Finite-dimensional non-canonical Hamiltonian systems arise naturally from Hamilton's principle in phase space. We present a method for deriving variational integrators that can be…
Hamiltonian mechanics of generalized eikonal waves
J. W. Burby, H. Qin
In accordance with the Keller-Maslov global WKB theory, a semiclassical scalar wave field is best encoded as a triple consisting of (i) a Lagrangian submanifold in the ray phas…
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…