Title of article
Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information
Author/Authors
Melnik، نويسنده , , K.N. and Melnik، نويسنده , , R.V.N. Melnik، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
28
From page
45
To page
72
Abstract
In this article, the authors construct optimal-by-order quadrature formulae for integration of fast oscillatory functions in interpolational classes C1, L, N1 and C1, L, N, ε1. The construction of efficient formulae for numerical integration of fast oscillatory functions is based on the application of the residual method and the method of quasi-solutions. Both cases, weak and strong oscillations, are considered. Results of numerical examples are presented.
Keywords
Interpolational class , Chebyshev center , Method of quasi-solution , Residual method , Optimal-by-order quadrature formulae
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1999
Journal title
Journal of Computational and Applied Mathematics
Record number
1550288
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