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.
Optimization-Based Search for Nordsieck Methods of High Order with Quadratic Stability Polynomials
CARDONE, Angelamaria;
2012-01-01
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.File in questo prodotto:
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