Gauss–Legendre and Chebyshev quadratures for singular integrals Original Research Article

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.