On the additive splitting procedures and their computer realization

I. Faragó, Per Grove Thomsen, Zahari Zlatev

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Two additive splitting procedures are defined and studied in this paper. It is shown that these splitting procedures have good stability properties. Some other splitting procedures, which are traditionally used in mathematical models used in many scientific and engineering fields, are sketched. All splitting procedures are tested by using six different numerical methods for solving differential equations. Many conclusions, which are related both to the comparison of the additive splitting procedures with the other splitting procedures and to the influence of the numerical methods for solving differential equations on the accuracy of the splitting procedures, are drawn.

Original languageEnglish
Pages (from-to)1552-1569
Number of pages18
JournalApplied Mathematical Modelling
Volume32
Issue number8
DOIs
Publication statusPublished - Aug 2008

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Numerical methods
Differential equations
Mathematical models
Numerical Methods
Differential equation
Mathematical Model
Engineering

Keywords

  • Numerical methods
  • Operator splitting
  • Stability
  • Time discretization

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Control and Optimization

Cite this

On the additive splitting procedures and their computer realization. / Faragó, I.; Thomsen, Per Grove; Zlatev, Zahari.

In: Applied Mathematical Modelling, Vol. 32, No. 8, 08.2008, p. 1552-1569.

Research output: Contribution to journalArticle

Faragó, I. ; Thomsen, Per Grove ; Zlatev, Zahari. / On the additive splitting procedures and their computer realization. In: Applied Mathematical Modelling. 2008 ; Vol. 32, No. 8. pp. 1552-1569.
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