An algorithm for solving a dual cosine series

Abstract

Solutions to dual trigonometric series are frequently given as double singular integrals, which are not conducive to automatic numerical evaluation. It is suggested that by performing a preliminary Fourier analysis on the data, the double singular integrals can be eliminated, and the solutions reduced to a finite number of precisely specified elementary arithmetic operations. This technique is used to reduce to an algorithm the analytic solution to a dual cosine series which had earlier been derived by the method of orthogonality relations. Some computational results are also presented.