Operator splittings and numerical methods

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The operator splitting method is a widely used technique which is frequently applied to the solution of complex problems. However, its application is not enough to the practical solution of the problems. The split sub-problems still require some numerical method. In this paper we give a unified investigation of the operator splitting and the numerical discretization, Moreover, we consider the interaction of the operator splitting method and the applied numerical methods to the solution of the different sub-processes. We show that many well-known fully-discretized numerical schemes to solving the Cauchy problems can be obtained in this manner. We investigate the convergence of these methods, too.

Original languageEnglish
Title of host publicationLarge-Scale Scientific Computing - 5th International Conference, LSSC 2005, Revised Papers
PublisherSpringer Verlag
Pages347-354
Number of pages8
ISBN (Print)3540319948, 9783540319948
DOIs
Publication statusPublished - Jan 1 2006
Event5th International Conference on Large-Scale Scientific Computing, LSSC 2005 - Sozopol, Bulgaria
Duration: Jun 6 2005Jun 10 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3743 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other5th International Conference on Large-Scale Scientific Computing, LSSC 2005
CountryBulgaria
CitySozopol
Period6/6/056/10/05

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Faragó, I. (2006). Operator splittings and numerical methods. In Large-Scale Scientific Computing - 5th International Conference, LSSC 2005, Revised Papers (pp. 347-354). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3743 LNCS). Springer Verlag. https://doi.org/10.1007/11666806_39