189 citations · 385 across the 18 of their papers we have counts for
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physics.comp-ph2019★ 13 cited
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…
physics.plasm-ph2019★ 3 cited
A discrete Nambu bracket for 2D extended Magnetohydrodynamics
D. A. Kaltsas, M. Kraus, G. N. Throumoulopoulos
In this note we propose a trilinear bracket formulation for the Hamiltonian extended Magnetohydrodynamics (XMHD) model with homogeneous mass density. The corresponding two-dimensio…
math.NA2019
Variational integrators for stochastic dissipative Hamiltonian systems
Michael Kraus, Tomasz M. Tyranowski
Variational integrators are derived for structure-preserving simulation of stochastic forced Hamiltonian systems. The derivation is based on a stochastic discrete Hamiltonian which…