A Multidimensional Analogue of the Simpson's Formula of Integral
Mathematical Physics
2015-05-14 v1 math.MP
Abstract
The Simpson's formula is obtained by approximating the integral of a function on some interval by the integral of the quadratic polynomial determined by the function. However, a multidimensional analogue of the formula has not been given as far as we know. In this paper such a formula is given. Our formula is simple and beautiful, so it may be convenient in Mathematics or Mathematical Physics.
Keywords
Cite
@article{arxiv.0908.3533,
title = {A Multidimensional Analogue of the Simpson's Formula of Integral},
author = {Kazuyuki Fujii},
journal= {arXiv preprint arXiv:0908.3533},
year = {2015}
}
Comments
Latex ; 15 pages ; 5 (4 essentially) figures