Nordsieck methods with inherent quadratic stability
Abstract
We derive suffcient conditions which guarantee that the stability polynomial of Nordsieck method for ordinary differential equations has only two nonzero roots. Examples of such methods up to order four are presented which are A-and L-stable. These examples were obtained by computer search using the Schurcriterion applied to the quadratic factor of the resulting stability polynomials.
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Nordsieck methods, general linear methods, order conditions, inherent quadratic stabilityHow to Cite
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Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.