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Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas |
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| Authors: | A Zh Zhubanisheva N Temirgaliev Zh N Temirgalieva |
| Institution: | (1) Eurasian National University, ul. Munaitpasova 5, Astana, 473021, Kazakhstan |
| 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 |
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