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The production of the neutron-capture isotopes beyond iron that we observetoday in the solar system is the result of the combined contribution of ther-process, the s- process and possibly the i-process. Low-mass AGB (2 < M/Msun< 3) and massive (M >10 Msun ) stars have been identified as the sites of thes-process. In this work we consider the evolution and nucleosynthesis oflow-mass AGB stars. We provide an update of the NuGrid Set models, adopting thesame general physics assumptions but using an updated convective-boundarymixing model accounting for the contribution from internal gravity waves. Thecombined data set includes the initial masses Mzams/Msun = 2, 3 for Z = 0.03,0.02, 0.01. These models are computed with the MESA stellar code and theevolution is followed up to the end of the AGB phase. The nucleosynthesis wascalculated for all isotopes in post-processing with the NuGrid mppnp code. Theconvective boundary mixing model leads to the formation of a 13C-pocket threetimes wider compared to the one obtained in the previous set of models,bringing the simulation results now in closer agreement with observations. Wealso discuss the potential impact of other processes inducing mixing, likerotation, adopting parametric models compatible with theory and observations.Complete yield data tables, derived data products and online analytic dataaccess are provided.

NuGrid stellar data set - III. Updated low-mass AGB models and s-process nucleosynthesis with metallicities Z=0.01, Z=0.02 and Z=0.03