Authors: Zhubanisheva, A.; Temirgaliev, N.; Temirgalieva, Zh.

Source: Computational Mathematics and Mathematical Physics, Volume 49, Number 1, January 2009 , pp. 12-22(11)

Publisher: MAIK Nauka/Interperiodica

Abstract:

Based on the theory of divisors, an effective theoretical algorithm designed previously by the authors for constructing good quadrature formulas with a Korobov grid (i.e., an algorithm for finding optimal coefficients) is used to develop a computer search method that produces tables of optimal coefficients giving more accurate integration error estimates with a smaller number of nodes than in all previously known cases.

Keywords: discrepancy; uniformly distributed grids; Korobov grids; optimal coefficients; quadrature formulas; divisor theory; lattice; ideal; extreme function of a class; numerical experiments

Document Type: Research article

DOI: http://dx.doi.org/10.1134/S0965542509010023

Affiliations: 1: Email: ntmath@mail.ru

Publication date: 2009-01-01

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