Authors: В.К. Задірака, Л.В. Луц, І.В. Швідченко

Summary: For the first time, a general theory of computations of integrals from highly oscillatory functions (IHOF) was proposed: Fourier, sine, cosine, wavelet, Bessel, and so on. The theory is based on the theory of calculations, theory of computational errors, general theory of optimal accuracy algorithms, algorithms for detecting and refining a priori information about the subintegral function and the theory of testing algorithms-programs. The quadrature and cubature formulas of calculation of IHOF (in particular, optimal in accuracy on classes of subintegral functions), estimations of their basic quality characteristics and computer technology of calculation of IHOF with the set values of quality characteristics on accuracy and speed are resulted.

Reading audience: For researchers, graduate students, senior students and specialists involved in the development of algorithmic and software solutions to problems related to the use of IHOF.

ISBN 978-966-00-1843-3

DOI: https://doi.org/10.15407/978-966-00-1843-3

Book project: Scientific book

Responsible institutions: V.M.Glushkov Institute of Cybernetics of NAS of Ukraine

Published: Kyiv

Size in pages: 472

Print run: 50