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A(α)-stable cyclic composite multistep methods of order 5
Authors:Dr M Mihelčić
Affiliation:1. Kernforschungsanlage Jülich, Institut für Festk?rperforschung, Postfach 1913, D-5170, Jülich, Federal Republic of Germany
Abstract:We describe a newA(α)-stable 3-cyclic 3-step method with accuracy of orderP=5. This is in contrast to the originally developed methods 5] which have greater order of accuracy (P=6) but a small stability region. Moreover, the new method shows slightly better stability than the backward differentiation formula (BDF) 6] of the same order.
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