Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645102 | Applied Numerical Mathematics | 2015 | 12 Pages |
Abstract
We present higher-order quadrature rules with end corrections for general Newton–Cotes quadrature rules. The construction is based on the Euler–Maclaurin formula for the trapezoidal rule. We present examples with 6 well-known Newton–Cotes quadrature rules. We analyze modified end corrected quadrature rules, which consist on a simple modification of the Newton–Cotes quadratures with end corrections. Numerical tests and stability estimates show the superiority of the corrected rules based on the trapezoidal and the midpoint rules.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Juan C. Aguilar,