On some special effects in theory on numerical integration and functions recovery

DOI10.3103/S1066369X18030118OpenAlexW2800737349WikidataQ129970844 ScholiaQ129970844MaRDI QIDQ1646398

A. A. Shomanova, Nurlan Temirgaliyev, N. Zh. Nauryzbayev

Publication date: 25 June 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x18030118

zbMATH Keywords

explicit quadrature formulaapproximative possibilities of a specific computational aggregatediscrepancy in uniform and integral metricsKorobov's gridSmolyak's gridsorting algorithms in problems of numerical integration

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

Cites Work

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• General algorithm for the numerical integration of periodic functions of several variables
• General algorithm for the numerical integration of functions of several variables
• Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas
• APPLICATION OF DIVISOR THEORY TO THE NUMERICAL INTEGRATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES
• On finite continued fractions
• A strengthening of a theorem of Bourgain and Kontorovich

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