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Aims. We describe the first s-process post-processing models for asymptoticgiant branch (AGB) stars of masses 3, 4 and 5 M at solar metallicity (Z=0.018)computed using the input from the stellar evolutionary code aton. Methods. Themodels are computed with the new code snuppat(S-process NUcleosynthesisPost-Processing code for aton), including an advective scheme for theconvective overshoot that leads to the formation of the main neutron source,13C. Each model is post-processed with 3 different values of the free overshootparameter. Included in the code snuppat is the novel Patankar-Euler-Deflhardexplicit numerical solver, that we use to solve the nuclear network system ofdifferential equations. Results. The results are compared to those from others-process nucleosynthesis codes (Monash,fruity, and NuGrid), as well asobservations of s-process enhancement in AGB stars, planetary nebulae, andbarium stars. This comparison shows that the relatively high abundance of12C inthe He-rich intershell in aton results in as-process abundance pattern thatfavours the second over the first s-process peak for all the masses explored.Also, our choice of an advective as opposed to diffusive numerical scheme forthe convective overshoot results in significants-process nucleosynthesis alsofor the 5 M models, which may be in contradiction with observations.

First models of s process in AGB stars of solar metallicity for the stellar evolutionary code ATON with a novel stable explicit numerical solver