Quadratures with super power convergence

Autor:	Aleksandr A. Belov, Maxim A. Tintul, Valentin S. Khokhlachev
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	trapezoid rule exponential convergence error estimate asymptotically sharp estimates Electronic computers. Computer science QA75.5-76.95
Zdroj:	Discrete and Continuous Models and Applied Computational Science, Vol 31, Iss 2, Pp 128-138 (2023)
Druh dokumentu:	article
ISSN:	2658-4670 2658-7149
DOI:	10.22363/2658-4670-2023-31-2-128-138
Popis:	The calculation of quadratures arises in many physical and technical applications. The replacement of integration variables is proposed, which dramatically increases the accuracy of the formula of averages. For infinitely smooth integrand functions, the convergence law becomes super power. It is significantly faster than the power law and is close to exponential one. For integrals with bounded smoothness, power convergence is realized with the maximum achievable order of accuracy.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/41bb767fee9c46459d191717b94231cc Zobrazit plný text záznamu View record in DOAJ