Eighth Order Two-Step Methods Trained to Perform Better on Keplerian-Type Orbits

Autor:	Vladislav N. Kovalnogov, Ruslan V. Fedorov, Andrey V. Chukalin, Theodore E. Simos, Charalampos Tsitouras
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	initial value problem (IVP second-order IVP) Numerov-type methods two-body problem perturbed Kepler differential evolution Mathematics QA1-939
Zdroj:	Mathematics, Vol 9, Iss 23, p 3071 (2021)
Druh dokumentu:	article
ISSN:	2227-7390 91859611
DOI:	10.3390/math9233071
Popis:	The family of Numerov-type methods that effectively uses seven stages per step is considered. All the coefficients of the methods belonging to this family can be expressed analytically with respect to four free parameters. These coefficients are trained through a differential evolution technique in order to perform best in a wide range of Keplerian-type orbits. Then it is observed with extended numerical tests that a certain method behaves extremely well in a variety of orbits (e.g., Kepler, perturbed Kepler, Arenstorf, Pleiades) for various steplengths used by the methods and for various intervals of integration.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/04dd67c9108845c1a9185961169e5665 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.