We have developed a new tool for numerical work in General Relativity:
GRworkbench. While past tools have been ad hoc, GRworkbench closely follows the
framework of Differential Geometry to provide a robust and general way of
computing on analytically defined space-times. We discuss the relationship
between Differential Geometry and C++ classes in GRworkbench, and demonstrate
their utility.Comment: 10 pages, 4 figures, submitted to Proceedings of the Ninth Marcel
Grossmann Meetin