90 citations
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Showing 2019Show all
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math.NA2019★ 24 cited
Exponential methods for solving hyperbolic problems with application to kinetic equations
Nicolas Crouseilles, Lukas Einkemmer, Josselin Massot
The efficient numerical solution of many kinetic models in plasma physics is impeded by the stiffness of these systems. Exponential integrators are attractive in this context as th…
math-ph2019
The Boltzmann equation with an external force on the torus: Incompressible Navier-Stokes-Fourier hydrodynamical limit
Marc Briant, Arnaud Debussche, Julien Vovelle
We study the Boltzmann equation with external forces, not necessarily deriving from a potential, in the incompressible Navier-Stokes perturbative regime. On the torus, we establish…