A linear analysis to overcome the numerical Cherenkov instability

This paper proposed a linear analysis to overcome the numerical Cherenkov instability. Basically, it is based on a explicit time scheme for solving electromagnetic particle simulations. This scheme depends on a parameter, that allows us to reduce and in some cases to suppress the numerical Cherenkov instability that can appear in this context, and is widely described in the literature. Some properties of the scheme are also investigated. Numerical examples are finally given to illustrate our purpose.