Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas
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.
Document Type: Research article
Publication date: 2009-01-01