Numerical analysis: mathematics of scientific computing
Numerical analysis: mathematics of scientific computing
Numerical analysis: an introduction
Numerical analysis: an introduction
Essentials of Numerical Analysis with Pocket Calculator Demonstrations
Essentials of Numerical Analysis with Pocket Calculator Demonstrations
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
An extension of trapezoidal type product integration rules
Journal of Computational and Applied Mathematics
A formula for the error of finite sinc interpolation with an even number of nodes
Numerical Algorithms
| Hi-index | 7.29 |
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.