Boole's rule

The widely propagated typographical error Bode's rule redirects here. For Bode's Law see Titius–Bode law.
In mathematics, Boole's rule, named after George Boole, is a method of numerical integration. It approximates an integral

by using the values of ƒ at five equally spaced points

It is expressed thus in Abramowitz and Stegun (1972, p. 886):

and the error term is

for some number c between x1 and x5. (945 = 1 × 3 × 5 × 7 × 9.)

It is often known as Bode's rule, due to a typographical error that propagated from Abramowitz and Stegun (1972, p. 886).[1][2]

See also

References

  1. ↑ Weisstein, Eric W. "Boole's Rule". MathWorld.
  2. ↑ Zucker, Ruth (1983) [June 1964]. "Chapter 25.4.14: Numerical Interpolation, Differentiation, and Integration - Integration - Numerical Analysis". In Abramowitz, Milton; Stegun, Irene Ann. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C., USA; New York, USA: United States Department of Commerce, National Bureau of Standards; Dover Publications. p. 886. ISBN 0-486-61272-4. LCCN 64-60036. MR 0167642. ISBN 978-0-486-61272-0. LCCN 65-12253.
This article is issued from Wikipedia - version of the 4/24/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.