title: A nine-parametric family of embedded methods of sixth order
metadata.name: dc.contributor.author
metadata.value: Olemskoy, Igor V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Eremin, Alexey S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Firyulina, Oksana S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-02-19T13:26:09Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-02-19T13:26:09Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: 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)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.403
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44904
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was founded by the Russian Science Foundation (project N 23-21-00027,
  https://rscf.ru/project/23-21-00027/)
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: Runge—Kutta methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: partitioned systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: order conditions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: simplifying conditions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: A nine-parametric family of embedded methods of sixth order
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44904/1/03.pdf
resources.format: Adobe PDF
resources.size: 302,56 kB