OPTIMIZATION-BASED SEARCH FOR NORDSIECK METHODS OF HIGH ORDER WITH QUADRATIC STABILITY POLYNOMIALS

Open Access

1 June 2012

journal article
research article
Published by Vilnius Gediminas Technical University in Mathematical Modelling and Analysis

Vol. 17 (3) , 293-308
https://doi.org/10.3846/13926292.2012.685497

Abstract

We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software. Examples of methods found in this way are given for order p = 5, p = 6, and p = 7.

Keywords

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