  The inverse scattering approach for the defocusing Davey-Stewartson II
equation is given by a system of D-bar equations. We present a numerical
approach to semi-classical D-bar problems for real analytic rapidly decreasing
potentials. We treat the D-bar problem as a complex linear second order
integral equation which is solved with discrete Fourier transforms complemented
by a regularization of the singular parts by explicit analytic computation. The
resulting algebraic equation is solved either by fixed point iterations or
GMRES. Several examples for small values of the semi-classical parameter in the
system are discussed.
