This volume includes contributions by leading workers in the field given at the workshop on Numerical Relativity held in Southampton in December 1991. Numerical Relativity or the numerical solution of astrophysical problems using powerful computers to solve Einstein''s equations has grown rapidly over the last 15 years. It is now an important route to understanding the structure of the Universe and is the only route currently available for approaching certain important astrophysical scenarios. The Southampton meeting was notable for the first full report of the new 2+2 approach and the related null or characteristic approaches as well as for updates on the established 3+1 approach including both Newtonian and fully relativistic codes. The contributions range from theoretical (formalisms existence theorems) to the computational (moving grids multiquadrics and spectral methods).
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