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 Matem. Mod.: Year: Volume: Issue: Page: Find

 Matem. Mod., 1990, Volume 2, Number 2, Pages 143–152 (Mi mm2333)

Computational methods and algorithms

The accuracy of particle simulation of the axisymmetric REB propagation

L. V. Glazytchev

Abstract: The paper presents results of numerical studies of the statistical and systematic errors which occur owing to the finiteness of the number of particles and accompany cloud-in-cell simulation of paraxial axisymmetric relativistic electron beams (REB). Confirmed was the assertion that the values of statistical errors decrease as the inverse square root of the number of particles used. The values of systematic errors proved to decrease faster. Although, they can be comparable with the statistical ones for the finite numbers of particles. Generalization of the results made it possible to propose simple criteria for the evaluation of errors of both types for the simulation of stationary as well as nonstationary REB.

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Bibliographic databases:
UDC: 533.9.01

Citation: L. V. Glazytchev, “The accuracy of particle simulation of the axisymmetric REB propagation”, Matem. Mod., 2:2 (1990), 143–152

Citation in format AMSBIB
\Bibitem{Gla90} \by L.~V.~Glazytchev \paper The accuracy of particle simulation of the axisymmetric REB propagation \jour Matem. Mod. \yr 1990 \vol 2 \issue 2 \pages 143--152 \mathnet{http://mi.mathnet.ru/mm2333} \zmath{https://zbmath.org/?q=an:0972.78537} 

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This publication is cited in the following articles:
1. S. A. Kurkin, A. A. Badarin, A. A. Koronovskii, N. S. Frolov, A. E. Hramov, “Modeling instabilities in the relativistic electronic stream in the medium CST Particle Studio”, Math. Models Comput. Simul., 10:1 (2018), 59–68
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