Abscissas and weights for Gaussian quadrature for n=2 to 100, and n=125, 150, 175, and 200

Abstract

The a bsc issas a nd we ights fo r Ga uss ia n Q uadra ture of orde r N = 2 to 100, a nd N = 125, 150 , 175 , a nd 200 a re g ive n. Th e a bscissas a re giv en to twent y· four pl aces a nd the e rror is est.im a ted to be no more th a n 1 unit in th e las t. pl ace. Th e we ights a re give n to t we nty·three pl aces and the e rror is es tim a te d to be no more tha n 1 unit in th e las t pl ace. Key \Vo rd s: Ga uss ia n qu a dra ture, integ ra l equ a ti ons, num e ri ca l integr a tion , zeros of Lege ndre po lyno mi a ls.