Gauss–Legendre and Chebyshev quadratures for singular integrals

Published: 15-12-2008| Version 1 | DOI: 10.17632/36htmm4b53.1
A. Deloff


Abstract Exact expressions are presented for efficient computation of the weights in Gauss–Legendre and Chebyshev quadratures for selected singular integrands. The singularities may be of Cauchy type, logarithmic type or algebraic-logarithmic end-point branching points. We provide Fortran 90 routines for computing the weights for both the Gauss–Legendre and the Chebyshev (Fejér-1) meshes whose size can be set by the user. Title of program: SINGQUAD Catalogue Id: AEBR_v1_0 Nature of problem Program provides Gauss-Legendre and Chebyshev (Fejér-1) weights for various singular integrands Versions of this program held in the CPC repository in Mendeley Data AEBR_v1_0; SINGQUAD; 10.1016/j.cpc.2008.07.008 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)