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Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information

✍ Scribed by K.N. Melnik; R.V.N. Melnik

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 211 KB
Volume: 110
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00195-8

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✦ Synopsis

In this article, the authors construct optimal-by-order quadrature formulae for integration of fast oscillatory functions in interpolational classes C 1 1; L; N and C 1 1; L; N; : The construction of e cient 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.