Order Stars para os Métodos de Brown (K, 2)
DOI:
https://doi.org/10.5540/tema.2006.07.01.0085Abstract
A ordem, a estabilidade e a convergência de métodos numéricos para equações diferenciais ordinárias podem ser analisadas através de order stars, que são conjuntos que definem uma partição do plano complexo. Nesse trabalho, faremos essa análise para os métodos de Brown (K, 2).References
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A. Iserles e S.P. Nørsett, A proof of the first Dahlquist barrier by order stars, BIT, 24 (1984), 529-537.
A. Iserles e S.P. Nørsett, “Order Stars”, Chapman and Hall, London, 1991.
M. Meneguette Jr., “Multistep multiderivative methods and related topics”, Tese de Doutorado, Oxford, 1987.
G. Wanner, E. Hairer e S.P. Nørsett, Order stars and stability theorems, BIT, 18 (1978), 475-489.
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