Order Stars para os Métodos de Brown (K, 2)

Authors

  • M. Meneguette Jr.
  • V.A. Botta

DOI:

https://doi.org/10.5540/tema.2006.07.01.0085

Abstract

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

[1] G. Dahlquist, Convergence and stability in the numerical integration of ordinary differential equations, Math. Scand., 4 (1956), 33-53.

W.H. Enright, Second derivative multistep methods for stiff ordinary differential equations, SIAM J. Num. Anal., 11 (1974), 321-331.

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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Published

2006-06-01

How to Cite

Meneguette Jr., M., & Botta, V. (2006). Order Stars para os Métodos de Brown (K, 2). Trends in Computational and Applied Mathematics, 7(1), 85–90. https://doi.org/10.5540/tema.2006.07.01.0085

Issue

Vol. 7 No. 1 (2006)

Section

Original Article

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