Artificial intelligence

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ISSN 2710-1673

ONLINE: ISSN 2710-1681

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Approximate Calculation of Double Integrals of Highly Oscillatory Functions with Use of the Lagrange Polynomial Interlineation

Lytvyn O.1, Nechuiviter O.2
1 Ukrainian Engineering Pedagogics Academy
2 Ukrainian Engineering and Pedagogical Academy

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UDC: 621.391:517.518:510.52
Publication Language: Ukrainian
Stuc. intelekt. 2012; 17(2):17-23

Abstract: Cubature formulas of approximate calculation of ddouble integrals of highly oscillatory functionswith use the Lagrange polynomial interlineation of functions at the class of differentiable functions are investigated in the article. Information about function is set of values on the optimal perpendicular lines. The estimations of error of approaching to the cubature formulas are presented.

Keywords: integrals of highly oscillatory functions, cubature formulas, Lagrange polynomial interlineation of functions.

References:

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