General algorithm for the numerical integration of periodic functions of several variables

DOI10.1134/S1064562407050110zbMath1162.65010OpenAlexW2060905507MaRDI QIDQ957762

A. Zh. Zhubanisheva, E. A. Bailov, Nurlan Temirgaliyev

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562407050110

zbMATH Keywords

quadrature formulacubature formulaperiodic functiongriddivisor theory

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (5)

``Geometry of numbers in a context of algebraic theory of numbers ⋮ On some special effects in theory on numerical integration and functions recovery ⋮ General algorithm for the numerical integration of functions of several variables ⋮ Tensor products of functionals and their application ⋮ An exact order of discrepancy of the Smolyak grid and some general conclusions in the theory of numerical integration

Cites Work

• Unnamed Item
• Reconstruction of periodic functions of several variables with respect to the values in the nodes of number-theoretic nets
• An Introduction to the Geometry of Numbers
• Applications of Number Theory to Numerical Analysis

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