Proceedings of a seminar at Colorado State University, in July and August 1992. The conference was intended to stimulate the systematic incorporation of symmetry and group theoretical concepts into numerical methods. Topics include topological constraints for explicit symmetry breaking, exploiting and detecting space-time symmetries, lattice periodic solutions with local gauge symmetry, an overview of potential symmetries, and symmetry methods in symmetry broken systems. No index. Annotation copyright Book News, Inc. Portland, Or.