Operator splitting and commutativity analysis in the Danish Eulerian Model

I. Dimov, I. Faragó, Á Havasi, Z. Zlatev

Research output: Contribution to journalArticle

20 Citations (Scopus)


In this paper the splitting error arising in the Danish Eulerian Model is investigated. Sufficient conditions under which the local splitting error vanishes are formulated for the continuous case. The numerical solution of the model problem introduces several other error sources, which makes the task of determining the effect of the splitting error more complicated. Therefore, we need numerical examples which will allow us to separate the splitting errors from the other errors in order to evaluate both the magnitude of these errors and the relationships between splitting errors and other errors for different values of the discretization parameters. Several such examples have been constructed and analysed. The appropriate conclusions were drawned. The experiences obtained from these experiments can be a starting step towards a total error analysis of the numerical solution of split systems of partial differential equations.

Original languageEnglish
Pages (from-to)217-233
Number of pages17
JournalMathematics and Computers in Simulation
Issue number3
Publication statusPublished - Nov 15 2004


  • Commutativity analysis
  • Danish Eulerian Model
  • Operator splitting

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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