  Nowadays the city-wide traffic contains hundreds of thousands of vehicles
with different scenarios of their behavior. If a microscopic approach is used
it leads to solving tremendous systems of ordinary differential equations whose
components have a wide range of variation rates. The given paper has introduced
a multirate numerical scheme with a self-adjusting time stepping strategy.
Instead of using a single step size for the whole system we have determined the
step size for each component by estimating its own local variation. We also
performed the stability analysis for the developed scheme. The presented
multirate scheme provides a significant speed-up in processor times compared to
the corresponding single-rate one. The use of multiple time steps admits
parallel computing.
