An iterative method for numerically solving the surface current integral equation is applied to wedge-like surfaces in order evaluate its applicability to surfaces that give rise to substantial edge diffraction. The convergence properties and accuracy of this approach are examined by comparing its results with the analytic Sommerfeld solution for incidence angles of 45¿ and 85¿ and scattering angles from -90¿ to 90¿. The accuracy and computational efficiency of these results suggest that this method may be suitable for studying scattering from a variety of one- and two-dimensional surfaces that contain regions of large surface curvature. ¿ 1998 American Geophysical Union