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This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in…
Introduction Preliminaries The fractional step scheme The Riemann problem step The ODE step Estimates for the ODE step Analysis of the approximate solutions The elimination of assumptions Convergence.
