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http://hdl.handle.net/11701/44904
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Olemskoy, Igor V. | - |
dc.contributor.author | Eremin, Alexey S. | - |
dc.contributor.author | Firyulina, Oksana S. | - |
dc.date.accessioned | 2024-02-19T13:26:09Z | - |
dc.date.available | 2024-02-19T13:26:09Z | - |
dc.date.issued | 2023-12 | - |
dc.identifier.citation | Olemskoy I. V., Eremin A. S., Firyulina O. S. A nine-parametric family of embedded methods of sixth order. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 4, pp. 449–468. https://doi.org/10.21638/11701/spbu10.2023.403 (In Russian) | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2023.403 | - |
dc.identifier.uri | http://hdl.handle.net/11701/44904 | - |
dc.description.abstract | In the paper an effective explicit Runge—Kutta type method of the sixth order with an embedded error estimator of order four is presented. The method is applied to the systems that can be structurally partitioned into three subsystems. Its computational scheme effectively uses the structural properties. However this leads to much larger systems of order conditions. These nonlinear conditions and the algorithm of finding a solution with nine free parameters are presented. A certain computational scheme is written down and a numerical comparison to Dormand—Prince pairs of orders 5 and 6 is performed. | en_GB |
dc.description.sponsorship | This work was founded by the Russian Science Foundation (project N 23-21-00027, https://rscf.ru/project/23-21-00027/) | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 4 | - |
dc.subject | Runge—Kutta methods | en_GB |
dc.subject | partitioned systems | en_GB |
dc.subject | order conditions | en_GB |
dc.subject | simplifying conditions | en_GB |
dc.title | A nine-parametric family of embedded methods of sixth order | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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