  For the last decades, multiple international facilities have developed
Radioactive-Ion Beams (RIB) to measure reaction processes including exotic
nuclei. These measurements coupled with an accurate theoretical model of the
reaction enable us to infer information about the structure of these nuclei.
The partial-wave expansion provides a precise description of two-body
collisions but has a large computational cost. To cope with this issue, the
eikonal approximation is a powerful tool as it reduces the computational time
and still describes the quantum effects observed in reaction observables.
However, its range of validity is restricted to high energy and to forward
scattering angles. In this work, we analyse the extension of the eikonal
approximation to lower energies and larger angles through the implementation of
two corrections. These aim to improve the treatment of the nuclear and Coulomb
interactions within the eikonal model. The first correction is based on an
expansion of the $T$-matrix while the second relies on a semi-classical
approach. They permit to better account for the deflection of the projectile by
the target, which is neglected in the standard eikonal model. The gain in
accuracy of each correction is evaluated through the analyses of angular cross
sections computed with the standard eikonal model, its corrections and the
partial-wave expansion. These analyses have been performed for tightly bound
projectiles ($^{10}\mathrm{Be}$) from intermediate energies (67 MeV/nucleon)
down to energies of interest of future RIB facilities such as HIE-ISOLDE and
ReA12 at MSU (10 MeV/nucleon).
