189 citations · 385 across the 18 of their papers we have counts for
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Symplectic model reduction methods for the Vlasov equation
Tomasz M. Tyranowski, Michael Kraus
Particle-based simulations of the Vlasov equation typically require a large number of particles, which leads to a high-dimensional system of ordinary differential equations. Solvin…
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…
Variational Integrators for Reduced Magnetohydrodynamics
Michael Kraus, Emanuele Tassi, Daniela Grasso
Reduced magnetohydrodynamics is a simplified set of magnetohydrodynamics equations with applications to both fusion and astrophysical plasmas, possessing a noncanonical Hamiltonian…