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http://hdl.handle.net/11701/17160
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Olemskoy, Igor V. | - |
dc.contributor.author | Kovrizhnykh, Nikolai A. | - |
dc.contributor.author | Firyulina, Oxana S. | - |
dc.date.accessioned | 2020-03-05T12:12:03Z | - |
dc.date.available | 2020-03-05T12:12:03Z | - |
dc.date.issued | 2019-12 | - |
dc.identifier.citation | Olemskoy I. V., Kovrizhnykh N. A., Firyulina O. S. Two-parametric family of sixth order numerical methods for solving systems of ordinary differential equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 4, pp. 502–517. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2019.407 | - |
dc.identifier.uri | http://hdl.handle.net/11701/17160 | - |
dc.description.abstract | The paper is devoted to the construction of economical explicit sixth-order numerical method for solving structurally partitioned systems of ordinary differential equations. The general form of the method, which algorithmically uses the properties of the system structure, is presented. Conditions of order six, which the parameters of the method must satisfy, are derived. The simplifying conditions are found, which reduces the large nonlinear system of order conditions to a solvable smaller system. A solution with two free parameters is obtained. Economic explicit sixth-order schemes for systems of ordinary differential equations are presented. Numerical tests to compare to known explicit sixth-order one-step methods are performed. | 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 15; Issue 4 | - |
dc.subject | order | en_GB |
dc.subject | the order conditions | en_GB |
dc.subject | simplifying conditions | en_GB |
dc.title | Two-parametric family of sixth order numerical methods for solving 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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502-517.pdf | 382,16 kB | Adobe PDF | Просмотреть/Открыть |
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