82 citations · 876 across the 71 of their papers we have counts for
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Energy-, momentum-, density-, and positivity-preserving spatio-temporal discretizations for the nonlinear Landau collision operator with exact H-theorems
Eero Hirvijoki, Joshua W. Burby, Michael Kraus
This paper explores energy-, momentum-, density-, and positivity-preserving spatio-temporal discretizations for the nonlinear Landau collision operator. We discuss two approaches,…
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…
A low-frequency variational model for energetic particle effects in the pressure-coupling scheme
Alexander R. D. Close, Joshua W. Burby, Cesare Tronci
Energetic particle effects in magnetic confinement fusion devices are commonly studied by hybrid kinetic-fluid simulation codes whose underlying continuum evolution equations often…
Degenerate Variational Integrators for Magnetic Field Line Flow and Guiding Center Trajectories
C. Leland Ellison, John M. Finn, Joshua W. Burby +3
Symplectic integrators offer many advantages for the numerical solution of Hamiltonian differential equations, including bounded energy error and the preservation of invariant sets…