Approximate Calculation of Triple Integrals of Rapidly Oscillating Functions with the Use of Lagrange Polynomial Interflation

Approximate Calculation of Triple Integrals of Rapidly Oscillating Functions with the Use of Lagrange Polynomial Interflation

The authors consider the cubature formula for the approximate calculation of triple integrals of rapidly oscillating functions by using Lagrange polynomial interlineation of functions with the optimal choice of the nodal planes for the approximation of the non-oscillating set. The error of the cubat...

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Veröffentlicht in:Cybernetics and systems analysis 2014-05, Vol.50 (3), p.410-418
Hauptverfasser: Lytvyn, O. Ì., Nechuiviter, O. P.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Artificial Intelligence
Control
Cybernetics
Functions (mathematics)
Integrals
Lagrange multiplier
Mathematical analysis
Mathematics
Mathematics and Statistics
Optimization
Oscillating
Polynomials
Processor Architectures
Software Engineering/Programming and Operating Systems
Studies
Systems Theory
Variables
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Beschreibung
Zusammenfassung:The authors consider the cubature formula for the approximate calculation of triple integrals of rapidly oscillating functions by using Lagrange polynomial interlineation of functions with the optimal choice of the nodal planes for the approximation of the non-oscillating set. The error of the cubature formula is estimated on the class of differentiable functions defined on a unit cube.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-014-9629-1