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math.NA2019
Exact splitting methods for kinetic and Schr{ö}dinger equations
Joackim Bernier, Nicolas Crouseilles, Yingzhe Li
In [8], some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, kinetic equations, and Schr{ö}dinger type…
math.NA2019
Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium
Joackim Bernier, Michel Mehrenberger
The asymptotic behavior of the solutions of the second order linearized Vlasov-Poisson system around homogeneous equilibria is derived. It provides a fine description of some nonli…