A numerical program that calculates fully relativistic, atomic continuum wavefunctions within the configuration interaction framework of the program of Grant et al. (1980) is described. The special features of continuum wavefunctions and the numerical problems that arise are discussed. A central differences method with deferred correction is used to numerically integrate the Dirac-Fock equations. Normalization for the ionic core case is accomplished by three different methods and their features compared: the nonrelativistic Stromgren method described by Seaton and Peach (1962), a relativistic WKB method and a less conventional approach of fitting confluent hypergeometric functions to the numerical solution at large radial distances. Asymptotic expressions for normalization were derived, programmed and tested for the case where the energy goes to zero (threshold). Additionally, normalization for the neutral core case by fitting to spherical Bessel and Neumann functions will be briefly described.