Methods of numerical solution of the Schroedinger equation containing quite-continuous operator

Some methods of numerical solution of the Schroedinger equation in the continuous energy spectrum region are considered. Their basic idea lies in reformulating Cauchy problem into boundary problems. The finite-difference representation of these problems permits to create algorithms of greater stability against computational errors than the Cauchy problem solution. The methods are also generalized for the Schroedinger equation containing quite-continuous operator. As an example the problem of scattering is solved on the Reed potential with a nonlocal term