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

GRWORKBENCH: A COMPUTATIONAL SYSTEM BASED ON DIFFERENTIAL GEOMETRY