title: A family of sixth-order methods with six stages
metadata.name: dc.contributor.author
metadata.value: Olemskoy, Igor V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kovrizhnykh, Nikolay A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-09-14T11:01:26Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-09-14T11:01:26Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Olemskoy I. V., Kovrizhnykh N. A. A family of sixth-order methods with six stages. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 3, pp. 215–229.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11702/spbu10.2018.303
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/14825
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper deals with construction of an efficient explicit sixth order method for structurally
  partitioned systems of ordinary differential equations. The general scheme of the method
  is presented, which algorithmically uses structural properties of a system of differential
  equations. The order conditions and the simplifying conditions for the considered explicit
  six-stage method are written down and their consistency is determined. The general solution
  with seven free parameters is obtained and a computational scheme for certain values of
  free parameters is constructed. Its performance on test problems is compared to three other
  explicit sixth-order methods.
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 14; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: order
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 family of sixth-order methods with six stages
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Olemskoy.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/14825/1/03-Olemskoy.pdf
resources.format: Adobe PDF
resources.size: 395,04 kB