122 citations · 259 across the 14 of their papers we have counts for
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math.NA2007★ 45 cited
Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method
Emmanuel Frénod, Francesco Salvarani, Eric Sonnendrücker
We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic sta…
math.NA2007★ 9 cited
Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations
Emmanuel Frénod, Alexandre Mouton, Eric Sonnendrücker
Motivated by the difficulty to solve numerically the weakly compressible 1D isentropic Euler equations with classical methods, we develop in this paper a two scale numerical method…