On Bartky’s Method for Evaluation of Integrals of Elliptic Type with Application to Round-Nosed Wedges

Abstract

Bartky’s method for the numerical evaluation of integrals of the complete elliptic type is modified to improve its accuracy. The resulting modified method is then applied to integrals involving complex arithmetic which map the upper half of one plane onto either the interior or exterior of round-nosed wedges. These solutions have engineering applications to such problems as the design of magnets and the flow of fluids in and around corners.