Two-step almost collocation methods for ordinary differential equations

R. D'Ambrosio, M. Ferro, Zdzislaw Jackiewicz, B. Paternoster

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These methods are obtained using the collocation approach by relaxing some of the collocation conditions to obtain methods with desirable stability properties. Local error estimation for these methods is also discussed.

Original languageEnglish (US)
Pages (from-to)195-217
Number of pages23
JournalNumerical Algorithms
Volume53
Issue number2-3
DOIs
StatePublished - Jan 1 2010

Keywords

  • A-stability
  • Absolute stability
  • Local error estimation
  • Order conditions
  • Two-step collocation methods

ASJC Scopus subject areas

  • Applied Mathematics

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