Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


The exact degree of precision of generalized Gauss-Kronrod integration rules
HTML articles powered by AMS MathViewer

by Philip Rabinowitz PDF
Math. Comp. 35 (1980), 1275-1283 Request permission


It is shown that the Kronrod extension to the $n$-point Gauss integration rule, with respect to the weight function $(1 - x^2)^{\mu - 1/2}$, $0 < \mu \leqslant 2$, $\mu \ne 1$, is of exact precision $3n + 1$ for n even and $3n + 2$ for n odd. Similarly, for the $(n + 1)$-point Lobatto rule, with $-1/2< \mu \leqslant 1$, $\mu \ne 0$, the exact precision is $3n$ for $n$ odd and $3n + 1$ for n even.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 65D30
  • Retrieve articles in all journals with MSC: 65D30
Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 35 (1980), 1275-1283
  • MSC: Primary 65D30
  • DOI:
  • MathSciNet review: 583504