𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Fast Construction of the Fejér and Clenshaw–Curtis Quadrature Rules

✍ Scribed by Jörg Waldvogel

Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
407 KB
Volume
46
Category
Article
ISSN
0006-3835

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Bounds on the error of fejer and clensha
Bounds on the error of fejer and clenshaw-curtis type quadrature for analytic functions
✍ Paola Favati; Grazia Lotti; Francesco Romani 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 385 KB

We consider the problem of integrating a function f : [-1, l] -+ R which has an analytic extension f to an open disk Dr of radius r and center the origin, such that If(z)] 5 1 for any z E d,. The goal of this paper is to study the minimal error among all algorithms which evaluate the integrand at t

A numerical algorithm for the constructi
A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
✍ Hong Xiao; Zydrunas Gimbutas 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 740 KB

squares Newton's method a b s t r a c t We present a numerical algorithm for the construction of efficient, high-order quadratures in two and higher dimensions. Quadrature rules constructed via this algorithm possess positive weights and interior nodes, resembling the Gaussian quadratures in one di