Higher accuracy order in differentiation-by-integration

Autor:	Andrej Liptaj
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	differentiation by integration generalized Lanczos derivative numerical differentiation higher-order method accuracy Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 26, Iss 2 (2021)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2021.13119
Popis:	In this text explicit forms of several higher precision order kernel functions (to be used in the differentiation-by-integration procedure) are given for several derivative orders. Also, a system of linear equations is formulated which allows to construct kernels with an arbitrary precision for an arbitrary derivative order. A computer study is realized and it is shown that numerical differentiation based on higher precision order kernels performs much better (w.r.t. errors) than the same procedure based on the usual Legendre-polynomial kernels. Presented results may have implications for numerical implementations of the differentiation-by-integration method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/67c1a8ee705443e1bfc6cfaa29ce6ce4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF