ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION
In this article, we demonstrate through specific examples that the evolution of the size of the absolute stability regions of Runge–Kutta methods for ordinary differential equation does not depend on the order of methods.
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| Format: | Article |
| Language: | English |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2019-12-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/169 |
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| author | Hippolyte Séka Kouassi Richard Assui |
| author_facet | Hippolyte Séka Kouassi Richard Assui |
| author_sort | Hippolyte Séka |
| collection | DOAJ |
| description | In this article, we demonstrate through specific examples that the evolution of the size of the absolute stability regions of Runge–Kutta methods for ordinary differential equation does not depend on the order of methods. |
| format | Article |
| id | doaj-art-04fccd96b88c45e7b2e13a059a98ed17 |
| institution | DOAJ |
| issn | 2414-3952 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-04fccd96b88c45e7b2e13a059a98ed172025-08-20T02:41:45ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522019-12-015210.15826/umj.2019.2.00686ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGIONHippolyte Séka0Kouassi Richard Assui1Institut National Polytechnique Houphouet-BoignyInstitut National Polytechnique Houphouët–Boigny, BP 1093 YamoussoukroIn this article, we demonstrate through specific examples that the evolution of the size of the absolute stability regions of Runge–Kutta methods for ordinary differential equation does not depend on the order of methods.https://umjuran.ru/index.php/umj/article/view/169stability region, runge–kutta methods, ordinary differential equations, order of methods. |
| spellingShingle | Hippolyte Séka Kouassi Richard Assui ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION Ural Mathematical Journal stability region, runge–kutta methods, ordinary differential equations, order of methods. |
| title | ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION |
| title_full | ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION |
| title_fullStr | ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION |
| title_full_unstemmed | ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION |
| title_short | ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION |
| title_sort | order of the runge kutta method and evolution of the stability region |
| topic | stability region, runge–kutta methods, ordinary differential equations, order of methods. |
| url | https://umjuran.ru/index.php/umj/article/view/169 |
| work_keys_str_mv | AT hippolyteseka orderoftherungekuttamethodandevolutionofthestabilityregion AT kouassirichardassui orderoftherungekuttamethodandevolutionofthestabilityregion |