Implementation of explicit Nordsieck methods with inherent quadratic stability

Autor:	Michel Bras, Angelamaria Cardone, Raffaele D'Ambrosio
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	general linear methods quadratic stability implementation Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 18, Iss 2 (2013)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2013.785039
Popis:	The present paper deals with the implementation in a variable-step algorithm of general linear methods in Nordsieck form with inherent quadratic stability and large stability regions constructed recently by Braś and Cardone. Various implementation issues such as rescale strategy, local error estimation, step-changing strategy and starting procedure are discussed. Some numerical experiments are reported, which show the performances of the methods and make comparisons with other existing methods.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fd5cb1c8429e4e00882daf2dd0547379 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF