ANALYSIS OF A MONTE-CARLO NYSTROM METHOD

摘要

This paper considers a Monte-Carlo Nystrom method for solving integral equations of the second kind, whereby the values (z(yi))(1 +infinity in a mean-square sense to the solution of a Lippmann-Schwinger equation characterizing the effective medium. The convergence of Monte-Carlo solutions at the rate O(N-1/2) is numerically illustrated on one-dimensional examples and for solving a two-dimensional Lippmann-Schwinger equation.