Elimination of the numerical Cerenkov instability for spectral EM-PIC codes

@article{Yu2015EliminationOT,
  title={Elimination of the numerical Cerenkov instability for spectral EM-PIC codes},
  author={Peicheng Yu and Xinlu Xu and Viktor K. Decyk and Frederico Fiuza and Jorge Vieira and Frank S. Tsung and Ricardo A. Fonseca and Wei Lu and Lu{\'i}s O. Silva and Warren B. Mori},
  journal={Comput. Phys. Commun.},
  year={2015},
  volume={192},
  pages={32-47}
}

Elimination of numerical Cherenkov instability in flowing-plasma particle-in-cell simulations by using Galilean coordinates.

TLDR
It is shown that, for a plasma drifting at a uniform relativistic velocity, the NCI can be eliminated by simply integrating the PIC equations in Galilean coordinates that follow the plasma (also sometimes known as comoving coordinates) within a spectral analytical framework.

On numerical errors to the fields surrounding a relativistically moving particle in PIC codes

Simulation of plasma accelerators with the Particle-In-Cell method

We present the standard electromagnetic Particle-in-Cell method, starting from the discrete approximation of derivatives on a uniform grid. The application to second-order, centered,

Accurately simulating nine-dimensional phase space of relativistic particles in strong fields

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