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This paper addresses the numerical modeling of resonant charge transfer (RCT) during ion-surface interactions. The main novelty of our approach is the usage of original ab initio 3D time-dependent Schrodinger equation (TDSE) Solver in combination with 3D pseudopotentials, which describe the metal structure on atomic level. Full 3D modeling enables us to reveal such fundamental RCT aspects as anisotropy of electron propagation in the target and electron delay during grazing scattering. Also we've refined theoretical basis for RCT experiments calculations and achieved the quantitative correspondence to large variety of experimental data. A solid portion of these data, e.g. RCT azimuthal dependence during grazing scattering, hasn't been modeled before