This article is cited in 1 paper

Optimality parameter of Korobov parallelepipedal grids for cubature formulas

V. A. Bykovskii^a, S. V. Gassan<sup>b

a</sup> Institute of Applied Mathematics (Khabarovsk Branch), Far East Branch, Russian Academy of Sciences, ul. Dzerzhinskogo 54, Khabarovsk, 680000 Russia
^b Institute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041 Russia

Abstract: When multiple integrals are approximately evaluated using Korobov cubature formulas, it is necessary to introduce a parameter characterizing the uniform distribution of the grid nodes. A new parameter for Korobov parallelepipedal grids is proposed, and an algorithm for its computation is described.

Key words: number, theoretic method for evaluation of multiple integrals, Korobov grids, Bakhvalov optimality parameter.

UDC: 519.644.7

Received: 17.05.2010
Revised: 28.02.2011

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:8, 1273–1279

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