A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods

Autor:	Dajana Conte, Raffaele D'Ambrosio, Zdzislaw Jackiewicz, Beatrice Paternoster
Jazyk:	angličtina
Rok vydání:	2012
Předmět:	ordinary differential equations two-step Runge-Kutta methods general linear methods G-stability algebraic stability Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 17, Iss 1 (2012)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2012.644870
Popis:	We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods with one and two stages.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e4ed59230d394350bd71d532f927fff1 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF