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We discuss the problem of ultra high energy particles propagation inastrophysical backgrounds. We present two different computational schemes basedon both kinetic and Monte Carlo approaches. The kinetic approach is ananalytical computation scheme based on the hypothesis of continuos energylosses while the Monte Carlo scheme takes into account also the stochasticnature of particle interactions. These schemes, that give quite reliableresults, enable the computation of fluxes keeping track of the differentprimary and secondary components, providing a fast and useful workbench tostudy Ultra High Energy Cosmic Rays.

Computational Schemes for the Propagation of Ultra High Energy Cosmic Rays