Splitting methods and their application to the abstract Cauchy problems

Research output: Contribution to journalConference article

19 Citations (Scopus)


In this paper we consider the interaction of the operator splitting method and applied numerical method to the solution of the different sub-processes. We show that the well-known fully-discretized numerical models (like Crank-Nicolson method, Yanenko method, sequential alternating Marchuk method, parallel alternating method, etc.), elaborated to the numerical solution of the abstract Cauchy problem can be interpreted in this manner. Moreover, on the base of this unified approach a sequence of the new methods can be defined and investigated.

Original languageEnglish
Pages (from-to)35-45
Number of pages11
JournalLecture Notes in Computer Science
Publication statusPublished - Jan 1 2005
EventThird International Conference on Numerical Analysis and Its Applications, NAA 2004 - Rousse, Bulgaria
Duration: Jun 29 2004Jul 3 2004

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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