189 citations · 385 across the 18 of their papers we have counts for
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physics.plasm-ph2018★ 2 cited
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,…
physics.plasm-ph2018★ 25 cited
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…