Optimization-based search for nordsieck methods of high order with quadratic stability polynomials
DOI: https://doi.org/10.3846/13926292.2012.685497Abstract
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:
general linear methods, Nordsieck methods, quadratic stability, least-squares minimizationHow to Cite
Cardone, A., Jackiewicz, Z., & Mittelmann, H. (2012). Optimization-based search for nordsieck methods of high order with quadratic stability polynomials. Mathematical Modelling and Analysis, 17(3), 293-308. https://doi.org/10.3846/13926292.2012.685497
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2012-06-01
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Copyright
Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Cardone, A., Jackiewicz, Z., & Mittelmann, H. (2012). Optimization-based search for nordsieck methods of high order with quadratic stability polynomials. Mathematical Modelling and Analysis, 17(3), 293-308. https://doi.org/10.3846/13926292.2012.685497