Optimization-based search for nordsieck methods of high order with quadratic stability polynomials

Autor: Angelamaria Cardone, Zdzislaw Jackiewicz, Hans Mittelmann
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Mathematical Modelling and Analysis, Vol 17, Iss 3 (2012)
Druh dokumentu: article
ISSN: 13926292
1392-6292
1648-3510
DOI: 10.3846/13926292.2012.685497
Popis: We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software. Examples of methods found in this way are given for order p = 5, p = 6, and p = 7.
Databáze: Directory of Open Access Journals