Continuous two-step Runge-Kutta methods for ordinary differential equations

Raffaele D'Ambrosio, Zdzislaw Jackiewicz

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived. These methods are developed imposing some interpolation and collocation conditions, in order to obtain desirable stability properties such as A-stability and L-stability. Particular structures of the stability polynomial are also investigated.

Original languageEnglish (US)
Pages (from-to)169-193
Number of pages25
JournalNumerical Algorithms
Volume54
Issue number2
DOIs
StatePublished - Jun 2010

Keywords

  • A-stability
  • L-stability
  • Quadratic stability functions
  • Runge-Kutta stability
  • Two-step collocation methods

ASJC Scopus subject areas

  • Applied Mathematics

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