Guided waves play an important role in many applications of NDE to structures of flat and cylindrical geometry. In order to develop and optimise the inspection, it is essential to have a good understanding of the wave modes that can propagate in the target structure. These can be complicated, especially in structures composed of multiple layers, anisotropic properties or materials that exhibit damping that absorbs the energy of the waves. Dispersion curves in anisotropic viscoelastic media are presented here. They have been computed by using a pseudospectral collo-cation method, details of its implementation are briefly outlined and references to the relevant literature given.