Numerical relativity: a review

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Abstract
Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of general relativity, numerical models have proved extremely valuable for investigations of strong-field scenarios and been crucial in revealing unexpected phenomena. Considerable efforts are being spent to simulate astrophysically relevant simulations, understand different aspects of the theory and even provide insights into the search for a quantum theory of gravity. In this paper I review the present status of the field of numerical relativity, describe the techniques most commonly used and discuss open problems and (some) future prospects.