Add to ORKGWe present a time discretization for the single phase Stefan problem with Gibbs-Thomson law. The method resembles an operator splitting scheme with an evolution step for the temperature distribution and a transport step for the dynamics of the free boundary. The evolution step only involves the solution of a linear equation that is posed on the old domain. We prove that the proposed scheme is stable in function spaces of high regularity. In the limit #DELTA#t#->#0 we find strong solutions of the continuous problem. This proves consistency of the scheme and it additionally yields a new short-time existence result for the continuous problem. (orig.)SIGLEAvailable from TIB Hannover: RR 1606(2000,12) / FIZ - Fachinformationszzentrum Karlsruh...