Luts L. Optimal accuracy quadrature formulas for computing integrals of rapidly oscillating functions in the fullest possible use of a priori information about the problem

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U004645

Thesis Registration Form

0410U004645.pdf

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

22-10-2010

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

Optimal accuracy and close to them quadrature formulas for computing integrals of rapidly oscillating functions (ROF), integrals of ROF of general form and the continuous wavelet transform were constructed. The method of testing computational algorithms - programs applied to analysis of their quality and identifying areas of their differentiated behavior. The computer technology of computing integrals of ROF with given values of quality characteristics on the accuracy and speed are developed. Keywords: integrals of ROF, the continuous wavelet transform, optimal quadrature formulas for accuracy, quality characteristics of computational algorithms.

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