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http://hdl.handle.net/11701/34152
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Olemskoy, Igor V. | - |
dc.contributor.author | Eremin, Alexey S. | - |
dc.date.accessioned | 2022-01-18T10:52:33Z | - |
dc.date.available | 2022-01-18T10:52:33Z | - |
dc.date.issued | 2021-12 | - |
dc.identifier.citation | Olemskoy I. V., Eremin A. S. Algorithm of construction of effective explicit methods for structurally partitioned systems of ordinary differential equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 4, pp. 353-369. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2021.404 | - |
dc.identifier.uri | http://hdl.handle.net/11701/34152 | - |
dc.description.abstract | Systems of ordinary differential equations partitioned on base of their right-hand side dependencies on the unknown functions are considered. Explicit multischeme Runge— Kutta methods for such systems are presented. These methods require fewer right-hand side computations (stages) than classic single-scheme Runge— Kutta methods to provide the same order of convergence. The full system of order conditions is presented. This system is reduced to several independent linear systems with help of the simplifying relations. The algorithm of computing the order conditions system solution with six free parameters is given. A particular choice of free parameters and the corresponding computational scheme are presented. The advantage of the presented methods is shown by the numerical comparison to the known classic six order method by J. C. Butcher. | en_GB |
dc.language.iso | en | 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 17; Issue 4 | - |
dc.subject | partitioned methods | en_GB |
dc.subject | structural partitioning | en_GB |
dc.subject | order conditions | en_GB |
dc.subject | explicit Runge — Kutta | en_GB |
dc.subject | multischeme methods | en_GB |
dc.subject | sixth order method | en_GB |
dc.title | Algorithm of construction of effective explicit methods for structurally partitioned systems of ordinary differential equations | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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353-369.pdf | 437,22 kB | Adobe PDF | Просмотреть/Открыть |
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