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...
Main Authors: | , |
---|---|
Formato: | Report |
Publicado em: |
Unspecified
2012
|