Calculation of Coefficients of the Optimal Quadrature Formulas in the W₂^m,m-1(0,1) Space

2008/10/30 by Kh. M. Shadimetov, Shadimetov, Kh. M., A.R. Hayotov +1 · 1 citation
Engineering · Mathematics · #Material Science and Thermodynamics #Differential Equations and Boundary Problems #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.0810.5421

Abstract

In this paper problem of construction of optimal quadrature formulas in W₂^(m,m-1)(0,1) space is considered. Here by using Sobolev's algorithm when m=1,2 we find the optimal coefficients of the quadrature formulas of the form ∫₀¹ϕ(x)dx≅ ∑_β=0^NC_βϕ(x_β).

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