Square formulas, implicit and enclosed algorithms of the integration on the non-obvious scale
Matematičeskoe modelirovanie, Tome 12 (2000) no. 7, pp. 29-35
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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.
@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 -
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/