Two-dimensional quantum black holes: numerical methods

We present details of a new numerical code designed to study the formation and evaporation of two-dimensional black holes within the Callan-Giddings-Harvey-Strominger model. We explain several elements of the scheme that are crucial to resolve the late-time behavior of the spacetime, including regularization of the field variables, compactification of the coordinates, the algebraic form of the discretized equations of motion and the use of a modified Richardson extrapolation scheme to achieve high-order convergence. Physical interpretation of our results will be discussed in detail elsewhere.