13 citations · 42 across the 8 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
physics.plasm-ph2021★ 6 cited
On the accuracy of the binary-collision algorithm in particle-in-cell simulations of magnetically confined fusion plasmas
Timo P. Kiviniemi, Eero Hirvijoki, Antti J. Virtanen
Ideally, binary-collision algorithms conserve kinetic momentum and energy. In practice, the finite size of collision cells and the finite difference in the particle locations affec…
math.DS2021
Normal stability of slow manifolds in nearly-periodic Hamiltonian systems
J. W. Burby, E. Hirvijoki
M. Kruskal showed that each nearly-periodic dynamical system admits a formal symmetry, generated by the so-called roto-rate. We prove that such systems also admit nearly-inv…