Relationship between vanishing splitting errors and pairwise commutativity

I. Faragó, Ágnes Havasi

Research output: Contribution to journalArticle

Abstract

It has been shown that the commutativity of the two sub-operators in different operator splitting discretizations implies zero splitting error. This work investigates whether this commutativity condition is necessary for zero splitting error for some given operator splittings. The case of more than two sub-operators is also discussed, but there are still some open problems (see the end of this work).

Original languageEnglish
Pages (from-to)10-14
Number of pages5
JournalApplied Mathematics Letters
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 2008

Fingerprint

Operator Splitting
Commutativity
Pairwise
Zero
Operator
Open Problems
Discretization
Imply
Necessary
Relationships

Keywords

  • Commutativity conditions
  • Commutator
  • Local splitting error
  • Operator splitting
  • Time discretization

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Applied Mathematics
  • Numerical Analysis

Cite this

Relationship between vanishing splitting errors and pairwise commutativity. / Faragó, I.; Havasi, Ágnes.

In: Applied Mathematics Letters, Vol. 21, No. 1, 01.2008, p. 10-14.

Research output: Contribution to journalArticle

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