Matematičeskoe modelirovanie, Tome 12 (2000) no. 7, pp. 29-35
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V. I. Kireev; G. V. Tsirkov. Square formulas, implicit and enclosed algorithms of the integration on the non-obvious scale. Matematičeskoe modelirovanie, Tome 12 (2000) no. 7, pp. 29-35. http://geodesic.mathdoc.fr/item/MM_2000_12_7_a5/
@article{MM_2000_12_7_a5,
author = {V. I. Kireev and G. V. Tsirkov},
title = {Square formulas, implicit and enclosed algorithms of the integration on the non-obvious scale},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {29--35},
year = {2000},
volume = {12},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2000_12_7_a5/}
}
TY - JOUR
AU - V. I. Kireev
AU - G. V. Tsirkov
TI - Square formulas, implicit and enclosed algorithms of the integration on the non-obvious scale
JO - Matematičeskoe modelirovanie
PY - 2000
SP - 29
EP - 35
VL - 12
IS - 7
UR - http://geodesic.mathdoc.fr/item/MM_2000_12_7_a5/
LA - ru
ID - MM_2000_12_7_a5
ER -
%0 Journal Article
%A V. I. Kireev
%A G. V. Tsirkov
%T Square formulas, implicit and enclosed algorithms of the integration on the non-obvious scale
%J Matematičeskoe modelirovanie
%D 2000
%P 29-35
%V 12
%N 7
%U http://geodesic.mathdoc.fr/item/MM_2000_12_7_a5/
%G ru
%F MM_2000_12_7_a5
For numerical integration of $y_i=f(x_i)$, $x\in[a,d]$, $i=\overline{0,n}$, functions that are arranged on nonregular scale with particulars new classes are presented of explicit square formulas and implicit algorithms based on calculation of integrals $I_i^{i+1}=\int\limits_{x_i}^{x_{1+i}}f(x)dx$$i=\overline{0,n}$, from algebraic systems of linear algebraic equadons.
