On the convergence and local splitting error of different splitting schemes

I. Faragó, Ágnes Havasi

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The convergence of different splitting methods - sequential, Strang, weighted sequential and weighted Strang splitting - is investigated in the semigroup context both for linear and m-dissipative operators, by use of the Trotter product formula and Lax's equivalence theorem. The local splitting errors of the Strang and weighted Strang schemes are analysed with the help of the Baker-Campbell-Hausdorff formula. It is shown that both methods, generally of second order, can be higher than second-order accurate if certain conditions are met. Our results are illustrated with examples.

Original languageEnglish
Pages (from-to)495-504
Number of pages10
JournalProgress in Computational Fluid Dynamics
Volume5
Issue number8
DOIs
Publication statusPublished - 2005

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Keywords

  • Application to CFD
  • Convergence
  • Local splitting error
  • Semigroup
  • Shallow water model
  • Strang splitting

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

On the convergence and local splitting error of different splitting schemes. / Faragó, I.; Havasi, Ágnes.

In: Progress in Computational Fluid Dynamics, Vol. 5, No. 8, 2005, p. 495-504.

Research output: Contribution to journalArticle

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