A modification of the Monte Carlo method for simulation of radiative transfer in molecular clouds

We propose a method of simulation that is based on the averaging of formal solutions of the transfer equation by taking the integral by the Monte Carl o method. This method is used to compute two models, which correspond to th e limiting cases of hot gas and cold background radiation and of hot backgr ound radiation and cold gas, for E-methanol emission from a compact homogen eous spherical region. We analyze model level populations by using rotation al diagrams in the limiting cases mentioned above. Model optical depths of the lines with frequencies below 300 GHz up to J = 11 inclusive are given.