The method of differential quadrature developed by Bellman in the 1970s has only recently been applied in the solution of technically important problems. It consists. essentially, of the approximate solution of the differential system by means of a polynomial-collocation approach at a finite number of points selected by the analyst. The present paper reports some numerical experiments on vibrations, buckling and stress problems. An inherent advantage of the approach is that it has basic simplicity, is easily programmable. etc. Ocean engineers will find it very convenient when dealing with a large variety of solid mechanics. fluid flow and heat transfer problems.