Abstract: The current work proposes a direct rational function fitting method, employing cylindrical waves alone, for the accurate evaluation of Sommerfeld integrals ...

The second Remes algorithm is used to approximate the integrals Kis by rational functions. The related coefficients for the approximations of Ki1, Ki2, Ki3 are given for different precisions.

Abstract: A new technique for machine precision evaluation of singular and nearly singular potential integrals with 1/R singularities is presented. The numerical quadrature scheme is based on a new ...