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Implementation of explicit Nordsieck methods with inherent quadratic stability

    Michel Bras Affiliation
    ; Angelamaria Cardone Affiliation
    ; Raffaele D'Ambrosio Affiliation

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.

Keyword : general linear methods, quadratic stability, implementation

How to Cite
Bras, M., Cardone, A., & D’Ambrosio, R. (2013). Implementation of explicit Nordsieck methods with inherent quadratic stability. Mathematical Modelling and Analysis, 18(2), 289-307. https://doi.org/10.3846/13926292.2013.785039
Published in Issue
Apr 1, 2013
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This work is licensed under a Creative Commons Attribution 4.0 International License.