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Theoretical results of one class of multiderivative methods through order stars

Botta, V.A. and Meneguette, M. and Cuminato, Jose and Mckee, Sean (2011) Theoretical results of one class of multiderivative methods through order stars. Progress in Applied Mathematics, 1 (1). pp. 122-130.

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Abstract

Order stars are applied to Brown (K,L) methods. They are displayed pictorially for a selection of methods and are used to provide succinct proofs of existing results. Asymptotic results concerning their stability are also presented.