<i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delays
This paper deals with the stability analysis of the Rosenbrock methods for the numerical solutions of the systems of differential equations with many delays.The <i>GP<sub>m</sub>L</i>-stability behavior of the Rosenbrock methods is analyzed for the solutions of linear test eq...
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| Format: | Article |
| Language: | English |
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Academic Journals Center of Shanghai Normal University
2014-04-01
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| Series: | Journal of Shanghai Normal University (Natural Sciences) |
| Subjects: | |
| Online Access: | http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201402001&flag=1&year_id=2014&quarter_id=2 |
| Summary: | This paper deals with the stability analysis of the Rosenbrock methods for the numerical solutions of the systems of differential equations with many delays.The <i>GP<sub>m</sub>L</i>-stability behavior of the Rosenbrock methods is analyzed for the solutions of linear test equations.We show that the Rosenbrock methods are <i>GP<sub>m</sub>L</i>-stable if and only if they are <i>L</i>-stable. |
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| ISSN: | 1000-5137 1000-5137 |