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. © 2013 Copyright Vilnius Gediminas Technical University.

Implementation of explicit Nordsieck methods with inherent quadratic stability

D'Ambrosio, Raffaele
2013-01-01

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. © 2013 Copyright Vilnius Gediminas Technical University.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/120009
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