Geodesic
Investigation of numerical methods for solving the Vlasov equation by its exact solutions
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2015), pp. 4-12

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Numerical methods for solving the Vlasov equation for a charged particle beam based on the method of macroparticles are considered. For solving of the boundary problem for the self field of a beam, an adaptive grid method is applied. This method gives a possibility to increase accuracy of computations. To estimate the accuracy of a numerical solution, known solutions of the Vlasov equation are used. Such approach enables us to determine optimal relations between numerical method parameters to achieve the most efficiency of the algorithm. Refs 15. Figs 3. Tables 2.
Keywords: the Vlasov equation, charged particle beam, self-consistent distributions, the method of macroparticles, adaptive grid methods.
Mots-clés : the Vlasov–Poisson system 
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O. I. Drivotin; N. V. Ovsyannikov. Investigation of numerical methods for solving the Vlasov equation by its exact solutions. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2015), pp. 4-12. http://geodesic.mathdoc.fr/item/VSPUI_2015_4_a0/