| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4643461 | Journal of Computational and Applied Mathematics | 2006 | 12 Pages |
Abstract
The present work makes the case for viewing the Euler–Maclaurin formula as an expression for the effect of a jump on the accuracy of Riemann sums on circles and draws some consequences thereof, e.g., when the integrand has several jumps. On the way we give a construction of the Bernoulli polynomials tailored to the proof of the formula and we show how extra jumps may lead to a smaller quadrature error.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jean-Paul Berrut,