Before revision:  We construct three-level implicit in time  compact in space (three-point in each space direction) 4th order finite-difference schemes on the uniform rectangular meshes including their one-parameter (for n=2) and three-parameter (for n=3) families.
After revision:  We construct three-level implicit in time and compact in space (three-point in each space direction) 4th order finite-difference schemes on the uniform rectangular meshes including their one-parameter (for n=2) and three-parameter (for n=3) families.