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We present a reduction of the Vlasov equation into a space-only hyperbolic system: the distribution function is expanded on a finite-element basis in the velocity variables. Parallelized finite-volume schemes enable to solve the obtained system and achieve high performance. Moreover, this numerical approach has interesting conservation and stability properties. However, the numerical dissipation affects the precision of the finest resolved scales. In order to better control the high frequency oscillations in the velocity variables, the same numerical method is applied to the Fourier-transformed Vlasov equation. |
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