  Numerical solutions of the time-dependent Schr\"odinger equation based on the
variational principle may offer physical insight that cannot be gained by a
solution using fixed grids in position and momentum space. Here we focus on the
tunneling dynamics in a quartic double-well and the use of classical,
trajectory-guided coherent states to gain insight into the workings of the
coupled coherent states method developed by Shalashilin and Child [J. Chem.
Phys. {\bf 113}, 10028 (2000)]. It is shown that over-the-barrier classical
trajectories, alone, can accurately describe the tunneling effect.
