Gaussian Quadrature of int_0^1 f(x) log^m(x) dx and int_(-1)^1 f(x) cos(pi*x/2) dx

Autor:	Mathar, Richard J.
Rok vydání:	2013
Předmět:	Mathematics - Classical Analysis and ODEs 41A55 65A05 (Primary) 65D30 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We tabulate the abscissae and associated weights for numerical integration of integrals with either the singular weight function (-log x)^m for exponents m=1, 2 or 3, or the symmetric weight function cos(pi*x/2). Standard brute force arithmetics generates explicit pairs of these values for up to 128 nodes. Comment: 4 pages. Ancillary directory with nodes and weights
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.5101 Zobrazit plný text záznamu View this record from Arxiv