  The paper describes a new upwind conservative numerical scheme for special
relativistic resistive magnetohydrodynamics with scalar resistivity. The
magnetic field is kept approximately divergence free and the divergence of the
electric field consistent with the electric charge distribution via the method
of Generalized Lagrange Multiplier. The hyperbolic fluxes are computed using
the HLL prescription and the source terms are accounted via the time-splitting
technique. The results of test simulations show that the scheme can handle
equally well both resistive current sheets and shock waves and thus can be a
useful tool for studying phenomena of relativistic astrophysics that involve
both colliding supersonic flows and magnetic reconnection.
