189 citations · 385 across the 18 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,…
Variational Integrators for Inertial Magnetohydrodynamics
Michael Kraus
Recently, an extended version of magnetohydrodynamics that incorporates electron inertia, dubbed inertial magnetohydrodynamics, has been proposed. This model features a noncanonica…
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…
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…