Additive and iterative operator splitting methods and their numerical investigation

István Faragó, Boglárka Gnandt, Ágnes Havasi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

As an alternative to the classical splitting methods, two new splitting schemes have been developed recently: the additive and the iterative splitting. In this paper we discuss the most important properties, the advantages and disadvantages of these schemes, and investigate their performance on simple examples as well as on more complex physical models.

Original languageEnglish
Pages (from-to)2266-2279
Number of pages14
JournalComputers and Mathematics with Applications
Volume55
Issue number10
DOIs
Publication statusPublished - May 1 2008

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Keywords

  • Additive splitting
  • Diffusion-reaction problem
  • Iterative splitting
  • Preconditioning
  • Stability

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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