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Original Articles

Implementation of explicit Nordsieck methods with inherent quadratic stability

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Pages 289-307 | Received 14 Sep 2012, Accepted 10 Mar 2013, Published online: 12 Apr 2013
 

Abstract

The present paper deals with the implementation in a variable-step algorithm of general linear methods in Nordsieck form with inherent quadratic stability and large stability regions constructed recently by Braś and Cardone. Various implementation issues such as rescale strategy, local error estimation, step-changing strategy and starting procedure are discussed. Some numerical experiments are reported, which show the performances of the methods and make comparisons with other existing methods.

AMS Subject Classification:

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