Optimal calculation of integrals of rapidly oscillating functions for some classes of differential functions

DOI10.1007/S10559-024-00668-5zbMATH Open1540.65086MaRDI QIDQ6547256

L. V. Luts

Publication date: 30 May 2024

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

numerical integrationquadratureintegrals of rapidly oscillating functionsboundary functionsinterpolation classes of differential functions

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Cites Work

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• Optimal integration of rapidly oscillating functions in the class \(W_{2,L,N}\) with the use of different information operators
• On a quadrature formula for trigonometric integrals.
• Fourier or Bessel transformations of highly oscillatory functions
• A Modification of Filon's Method of Numerical Integration

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