Optimization-Based Search for Nordsieck Methods of High Order with Quadratic Stability Polynomials

Angelamaria Cardone, Zdzislaw Jackiewicz, Hans Mittelmann

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)293-308
Number of pages16
JournalMathematical Modelling and Analysis
Volume17
Issue number3
DOIs
StatePublished - Jun 2012

Keywords

  • Nordsieck methods
  • general linear methods
  • least-squares minimization
  • quadratic stability

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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