The Euler–McLoren formulae of high orders
Matematičeskoe modelirovanie, Tome 16 (2004) no. 10, pp. 64-66
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The simple method was proposed to constructe the Euler–Mac Loren formulae of high orders for numerical integration. The first six terms of these formulae were found. This gave accuracy up to $O(h^{14})$. An interesting application was noticed for numerical integration of periodic functions.
@article{MM_2004_16_10_a5,
author = {N. N. Kalitkin},
title = {The {Euler{\textendash}McLoren} formulae of high orders},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {64--66},
year = {2004},
volume = {16},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2004_16_10_a5/}
}
N. N. Kalitkin. The Euler–McLoren formulae of high orders. Matematičeskoe modelirovanie, Tome 16 (2004) no. 10, pp. 64-66. http://geodesic.mathdoc.fr/item/MM_2004_16_10_a5/