The purpose of the present work is the numerical modeling of partially buried vertical wire-antennas and scatterers. Our interest is in an efficient computation of their electromagnetic properties. Analytically the problem is formulated in terms of an integro-differential equation over the wire current across the air-ground interface. This equation is then converted into a numerically solvable form by means of Galerkin's method together with the piece-wise linear functions. The inverse Bessel transforms, commonly called Sommerfeld integrals, appearing in the Kernel of the integral equation have been evaluated by numerical integration over the real axis. The resulting computer code“STAKE,” which permits the numerical simulations of partially buried vertical wires, proved to be efficient and accurate in comparison with other computation methods. First the problem of antenna grounding has been investigated for the cases of soil and sea water. The current distributions, input admittances and radiation efficiencies are computed for various penetration depths of the wire into the ground. Second the scattering cross-sections are computed again for soil and sea water.