On the additive splitting procedures and their computer realization |
Istvan Farago, Per Grove Thomsen, Zahari Zlatev
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| 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. |
| Keywords | Operator splitting; Numerical methods; Time discretization; Stability |
| Type | Journal paper [With referee] |
| Journal | Applied Mathematical Modelling |
| Year | 2008 Vol. 32 No. 8 pp. 1552-1569 |
| Publisher | Elsevier |
| ISBN / ISSN | 0307904x |
| Electronic version(s) | [pdf] |
| BibTeX data | [bibtex] |
| IMM Group(s) | Scientific Computing |