Zeros dos Polinômios Característicos dos Métodos BDF
DOI:
https://doi.org/10.5540/tema.2007.08.01.0093Abstract
O estudo da estabilidade de métodos numéricos possui um grande potencial em pesquisa. Como a análise da estabilidade está relacionada aos zeros do polinômio característico do método, é importante determinar o comportamento de tais zeros. Através de testes numéricos é possível verificar facilmente que os zeros dos polinômios característicos dos métodos BDF são distintos (para K fixo). Mas a prova da validade deste resultado para toda a família dos métodos, nunca feita anteriormente, será apresentada neste trabalho com o uso das order stars, que são conjuntos que definem uma partição no plano complexo.References
A. Iserles, S.P. Nørsett, A proof of the first Dahlquist barrier by order stars, BIT, 24 (1984), 529-537.
A. Iserles, S.P. Nørsett,“Order Stars”, Chapman and Hall, London, 1991.
R. Jeltsch, A0−stability and stiff stability of Brown´s multistep multiderivative methods, Numer. Math. 32 (1979), 167-181.
M. Meneguette Jr., “Multistep Multiderivative Methods and Related Topics”, Tese de Doutorado, Oxford, UK, 1987.
G. Wanner, E. Hairer, S.P. Nørsett, Order stars and stability theorems, BIT, 18 (1978), 475-489.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish in this journal agree to the following terms:
Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.
Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).
This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
author. This is in accordance with the BOAI definition of open access
Intellectual Property
All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.
