  We present an approach to numerically solving the time-dependent Schroedinger
equation and other parabolic equations by the split-step technique with fast
Fourier transform, which suppresses the backreflection of waves from the grid
boundaries with any specified accuracy. Most importantly, all known methods
work well only for a narrow region of incident waves spectrum, and the proposed
method provides absorption of any wave whose length is large enough in
comparison with the size of absorption region.
