  Quantum sensors based on matter-wave interferometry are promising candidates
for high-precision gravimetry and inertial sensing in space. The favorable
source for the coherent matter waves in these devices are Bose-Einstein
condensates. A reliable prediction of their dynamics, which is governed by the
Gross-Pitaevskii equation, requires suitable analytical and numerical methods
which take into account the center-of-mass motion of the condensate, its
rotation and its spatial expansion by many orders of magnitude. In this
chapter, we present an efficient way to study their dynamics in time-dependent
rotating traps that meet this objective. Both, an approximate analytical
solution for condensates in the Thomas-Fermi regime and dedicated numerical
simulations on a variable adapted grid are discussed. We contrast and relate
our approach to previous alternative methods and provide further results, such
as analytical expressions for the one- and two-dimensional spatial density
distributions and the momentum distribution in the long-time limit that are of
immediate interest to experimentalists working in this field of research.
