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We numerically demonstrate atomic Fabry–Perot resonances for a pulsed interacting Bose–Einstein condensate (BEC) source transmitting through double Gaussian barriers. These resonances are observable for an experimentally-feasible parameter choice, which we determined using a previously-developed analytical model for a plane matter-wave incident on a double rectangular barrier system. Through numerical simulations using the non-polynomial Schödinger equation—an effective one-dimensional Gross–Pitaevskii equation—we investigate the effect of atom number, scattering length, and BEC momentum width on the resonant transmission peaks. For 85 Rb atomic sources with the current experimentally-achievable momentum width of 0.02 ħ k 0 [ k 0 = 2 π / (780 nm) ], we show that reasonably high contrast Fabry–Perot resonant transmission peaks can be observed using (a) non-interacting BECs, (b) interacting BECs of 5 × 10 4 atoms with s-wave scattering lengths a s = ± 0.1 a 0 ( a 0 is the Bohr radius), and (c) interacting BECs of 10 3 atoms with a s = ± 1.0 a 0 . Our theoretical investigation impacts any future experimental realization of an atomic Fabry–Perot interferometer with an ultracold atomic source. [ABSTRACT FROM AUTHOR]