Geodesic
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},
     publisher = {mathdoc},
     volume = {12},
     number = {7},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2000_12_7_a5/}
}
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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/