FD approximations of increasing orders of accuracy require correspondingly large stencil sizes. The limiting case of global stencils has numerous important applications, which have been extensively treated in the literature, under the acronym of pseudospectral (PS) methods. While the accuracy in certain cases can be very high, geometric flexibility typically becomes severely compromised. Our present summary aims mainly to provide some general insights into how PS methods relate to FD methods (rather than to describe PS implementation technicalities, such as, for nonperiodic problems, the necessity to cluster nodes very strongly toward the interval end points).