X-ray bursts are violent stellar events that take place on the H/He-rich envelopes of accreting neutron stars, and are powered by thermonuclear runaways. These cataclysmic events constitute the most frequent source of thermonuclear stellar explosions in the Galaxy (and the fourth most energetic stellar event after γ-ray bursts, supernovae, and nova outbursts). In this paper, we present new hydrodynamical models of X-ray bursts, in spherical symmetry (1-D), from the onset of accretion up to the

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... xplosion stage, with special emphasis on the main nucleosynthetic path. Current attempts to model these explosions in 2-D are also outlined.