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Optimization-based search for Nordsieck methods of high order with quadratic stability

A. Cardone(ancardone***at***unisa.it)
Z. Jackiewicz(jackiewi***at***math.asu.edu)
H. D. Mittelmann(mittelmann***at***asu.edu)

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: General linear methods, Nordsieck methods, quadratic sta- bility, least-squares minimization

Category 1: Applications -- Science and Engineering (Other )


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Entry Submitted: 01/27/2011
Entry Accepted: 01/27/2011
Entry Last Modified: 01/27/2011

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