NUMERICAL-SIMULATION OF SCATTERING PROBLEMS WITH FOURIER-INTEGRAL OPERATORS

In this paper, we present a general method for approximating oscillato ry integrals arising in some scattering problems. In particular, a mic rolocal basis is used to approximate wave functions, by discretizing t heir wavefront. Then, we exhibit a result concerning the approximation of the scattering operator, which allows one to retain only interacti ons between coefficients for which the product of the supports is near the wavefront of the kernel of the operator. Finally, we give an esti mate of the algorithmic complexity of the method presented in the pape r.