Fast and accurate computation of Gauss-Legendre and Gauss-Jacobi quadrature nodes and weights

An efficient algorithm for the accurate computation of Gauss–Legendre and Gauss–Jacobi quadrature nodes and weights is presented. The algorithm is based on Newton’s root-finding method with initial guesses and function evaluations computed via asymptotic formulae. The $n$-point quadrature rule is co...

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Detalhes bibliográficos
Main Authors: Hale, N, Townsend, A
Formato: Report
Publicado em: Unspecified 2012