A Multidimensional Analogue of the Simpson's Formula of Integral

Details A Multidimensional Analogue of the Simpson's Formula of Integral A Multidimensional Analogue of the Simpson's Formula of Integral

2009-08-25

arxiv.org/abs/0908.3533v1

Int. J. Geom. Meth. Mod. Phys. 7(2010) 471-483

Physics

Mathematical Physics

Latex ; 15 pages ; 5 (4 essentially) figures

Scientific paper

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.

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