A comment on quadrature in the presence of end point singularities

Abstract

The results obtained for a set of integrals with singularities at the endpoints using the Harris and Evans modified ten points Gauss formula are compared with those using Stenger's formula. While the Gaussian approach gives better results for a comparable number of points, the Stenger rule is easily applied with an arbitrary number of nodes and the comparison should be more favorable when more nodes are used.