Geodesic
Implicit square formulas
Matematičeskoe modelirovanie, Tome 13 (2001) no. 6, pp. 117-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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For numerical integration of $y_i=f(x_i)$, $x\in[a,b]$, $i=\overline{0,n}$ functions that are arrangemented on nonregular scale with peculiarities new classes of implicit algorithms are presented based on calculation of integrals $I_i^{i+1}=\int\limits_{x_i}^{x_{i+1}}f(x)dx$ from algebraic systems of linear algebraic functions. 
@article{MM_2001_13_6_a18,
     author = {V. I. Kireev and G. V. Tsirkov},
     title = {Implicit square formulas},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {117--123},
     year = {2001},
     volume = {13},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_6_a18/}
}
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V. I. Kireev; G. V. Tsirkov. Implicit square formulas. Matematičeskoe modelirovanie, Tome 13 (2001) no. 6, pp. 117-123. http://geodesic.mathdoc.fr/item/MM_2001_13_6_a18/