𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exit Criteria for Newton–Cotes Quadrature Rules

✍ Scribed by Rowland, J. H.; Miel, G. J.

Book ID
118182591
Publisher
Society for Industrial and Applied Mathematics
Year
1977
Tongue
English
Weight
506 KB
Volume
14
Category
Article
ISSN
0036-1429

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Superconvergence and ultraconvergence of
Superconvergence and ultraconvergence of Newton–Cotes rules for supersingular integrals
✍ Jin Li; Xiaoping Zhang; Dehao Yu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 756 KB

In this article, the general (composite) Newton-Cotes rules for evaluating Hadamard finitepart integrals with third-order singularity (which is also called ''supersingular integrals'') are investigated and the emphasis is placed on their pointwise superconvergence and ultraconvergence. The main erro

The superconvergence of the Newton–Cotes
The superconvergence of the Newton–Cotes rule for Cauchy principal value integrals
✍ Dongjie Liu; Jiming Wu; Dehao Yu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 345 KB

We consider the general (composite) Newton-Cotes method for the computation of Cauchy principal value integrals and focus on its pointwise superconvergence phenomenon, which means that the rate of convergence of the Newton-Cotes quadrature rule is higher than what is globally possible when the singu