Comparison of difference schemes for the transfer equation

The traditional schemes of running calculations were interpreted as one-staged Rosenbrock schemes. The properties of these schemes were investigated. The problem of calculations for very large time was specially researched because of large influence of scheme dissipation. The a priori estimations of this dissipation were made. The conservation of impulse area under calculations was proved. It was found the case of zero or finite sound velocity on separated points or lines didn't lead to difficulties.