From: hrubin@b.stat.purdue.edu (Herman Rubin) Newsgroups: sci.math Subject: Re: Gauss type quadrature Date: 8 Nov 1998 11:11:12 -0500 In article , wrote: >Hi, > I am learning Gauss type quadrature for numerical integration. There >are so many Gauss types. How do we know which one is more suited to a >particular problem? Any comment or references is welcome. The n points for a particular Gauss type integration, and their weights, are chosen so that a polynomial of degree at most 2n-1 is integrated exactly with respect to the particular weight function for which it is designed. If the polynomial of degree n-1 matching a function at the points gives a good fit within polynomials of degree 2n-1, the numerical approximation will be good, otherwise not. -- This address is for information only. I do not claim that these views are those of the Statistics Department or of Purdue University. Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399 hrubin@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558