Orateur
Description
Numerical relativity (NR) provides the most accurate description of compact binary coalescences and other strong-field phenomena producing gravitational waves (GW). In this talk, I will review the history, main formalisms and current status of NR waveform generation. We will begin with binary black holes, discussing general aspects including GW extraction, as well as addressing current challenges in the field (high mass ratios, eccentricity, spin effects) and other frontier topics such as hyperbolic encounters and dynamical captures. We will then turn to systems involving neutron stars, covering tidal effects, post-merger signatures and their relevance for dense matter equations of state. The talk will conclude with an outlook on the role of NR in the era of next-generation GW detectors.