Implicit square formulas

V. I. Kireev, G. V. Tsirkov

Moscow Aviation Institute

Abstract: 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.

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