  We describe the software package FELIX that solves the equations of the
time-dependent generator coordinate method (TDGCM) in N-dimensions (N $\geq$ 1)
under the Gaussian overlap approximation. The numerical resolution is based on
the Galerkin finite element discretization of the collective space and the
Crank-Nicolson scheme for time integration. The TDGCM solver is implemented
entirely in C++. Several additional tools written in C++, Python or bash
scripting language are also included for convenience. In this paper, the solver
is tested with a series of benchmarks calculations. We also demonstrate the
ability of our code to handle a realistic calculation of fission dynamics.
