Weighted sequential splittings and their analysis

P. Csomós, I. Faragó, Á Havasi

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

Operator splitting is a widely used procedure in the numerical solution of parabolicproblems. Several splitting methods have been constructed and used in the fields of applied mathematics. In this paper the weighted sequential splittings are introduced and their local splitting error is analyzed. New results are presented for the case where the subproblems of the weighted splitting schemes are solved numerically. The results are illustrated with test examples for ordinary differential systems.

Original languageEnglish
Pages (from-to)1017-1031
Number of pages15
JournalComputers and Mathematics with Applications
Volume50
Issue number7
DOIs
Publication statusPublished - Oct 1 2005

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Keywords

  • Local splitting error
  • Operator splitting
  • Weighted sequential splitting

ASJC Scopus subject areas

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

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