Explicit Nordsieck methods with quadratic stability

Angelamaria Cardone, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We describe the construction of explicit Nordsieck methods with s stages of order p = s - 1 and stage order q = p with inherent quadratic stability and quadratic stability with large regions of absolute stability. Stability regions of these methods compare favorably with stability regions of corresponding general linear methods of the same order with inherent Runge-Kutta stability.

Original languageEnglish (US)
Pages (from-to)1-25
Number of pages25
JournalNumerical Algorithms
Volume60
Issue number1
DOIs
StatePublished - May 2012

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Quadratic Stability
Explicit Methods
Stability Region
General Linear Methods
Absolute Stability
Runge-Kutta

Keywords

  • General linear methods
  • Inherent quadratic stability
  • Nordsieck representation
  • Order conditions
  • Quadratic stability

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Explicit Nordsieck methods with quadratic stability. / Cardone, Angelamaria; Jackiewicz, Zdzislaw.

In: Numerical Algorithms, Vol. 60, No. 1, 05.2012, p. 1-25.

Research output: Contribution to journalArticle

Cardone, Angelamaria ; Jackiewicz, Zdzislaw. / Explicit Nordsieck methods with quadratic stability. In: Numerical Algorithms. 2012 ; Vol. 60, No. 1. pp. 1-25.
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