Geodesic
On the problem of noise and charge conservation in particle simulations
Matematičeskoe modelirovanie, Tome 12 (2000) no. 9, pp. 96-108.

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The particle simulation algorithm is considered conserving the charge in grid cells. The current timeaveraging procedure is used. The current is averaged over time interval that is a measure of the period that a particle runs over grid cell. The purpose of this procedure is the smoothing of electromagnetic noise. The considered particle simulation algorithm is realized in the problem of axial-symmetric electromagnetic field generation by relativistic electron beam passing through cylindrical resonator. Numerical results illustrate advantages of realized algorithm. These advantages are due to charge conservation and current time-averaging procedure. 
@article{MM_2000_12_9_a7,
     author = {M. V. Skachkov},
     title = {On the problem of noise and charge conservation in particle simulations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {96--108},
     publisher = {mathdoc},
     volume = {12},
     number = {9},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2000_12_9_a7/}
}
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M. V. Skachkov. On the problem of noise and charge conservation in particle simulations. Matematičeskoe modelirovanie, Tome 12 (2000) no. 9, pp. 96-108. http://geodesic.mathdoc.fr/item/MM_2000_12_9_a7/