Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations

Z. Bartoszewski, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We describe a new representation of explicit two-step Runge-Kutta methods for ordinary differential equations. This representation makes it possible for the accurate and reliable estimation of local discretization error and facilitates the efficient implementation of these methods in a variable stepsize environment.

Original languageEnglish (US)
Pages (from-to)149-163
Number of pages15
JournalApplied Numerical Mathematics
Volume53
Issue number2-4
DOIs
StatePublished - May 2005

Fingerprint

Two-step Runge-Kutta Methods
Variable Step Size
Runge Kutta methods
Discretization Error
Explicit Methods
Efficient Implementation
Ordinary differential equations
Ordinary differential equation

Keywords

  • Error estimation and control
  • Error propagation
  • Nordsieck representation
  • Two-step Runge-Kutta methods

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

Cite this

Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations. / Bartoszewski, Z.; Jackiewicz, Zdzislaw.

In: Applied Numerical Mathematics, Vol. 53, No. 2-4, 05.2005, p. 149-163.

Research output: Contribution to journalArticle

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