Geodesic
On the self-force in the particle-in-cell method
Numerical methods and programming, Tome 9 (2008) no. 1, pp. 48-57.

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The effect of a numerical grid on the solution obtained by the particle-in-cell method is considered. It is shown that the solution essentially depends on the form of a model particle (kernel). Several kernels including those with four and three nodes are analytically and numerically analyzed in the one-dimensional case. Some numerical results obtained for the one-dimensional problem of breakdown of a discontinuity in a dispersion medium are discussed. A new modification of the form-factor with a decreased self-force is proposed. This work was supported by the Novosibirsk Technical State University (project No. RNP.2.2.1.1.3653).
Keywords: particle-in-cell method, Riemann problem, structured meshes, difference methods.
Mots-clés : transformation kernel 
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     title = {On the self-force in the particle-in-cell method},
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V. A. Vshivkov; A. V. Terekhov. On the self-force in the particle-in-cell method. Numerical methods and programming, Tome 9 (2008) no. 1, pp. 48-57. http://geodesic.mathdoc.fr/item/VMP_2008_9_1_a6/