Starting procedures for general linear methods

G. Califano, G. Izzo, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We present a systematic approach to the construction of starting procedures for general linear methods (GLMs) of order p and stage order q=p. Order conditions for starting procedures based on the generalized Runge–Kutta (RK) are derived using the theory of rooted trees, elementary differentials, and elementary weights, and examples of generalized RK formulas are given up to the order p=4.

Original languageEnglish (US)
Pages (from-to)165-175
Number of pages11
JournalApplied Numerical Mathematics
Volume120
DOIs
Publication statusPublished - Oct 1 2017

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Keywords

  • General linear methods
  • Generalized Runge–Kutta methods
  • Order conditions
  • Starting procedures

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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