title: Two-parametric family of sixth order numerical methods for solving systems of ordinary differential equations
metadata.name: dc.contributor.author
metadata.value: Olemskoy, Igor V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kovrizhnykh, Nikolai A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Firyulina, Oxana S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-03-05T12:12:03Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-03-05T12:12:03Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2019.407
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17160
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
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 15; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: order
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the order conditions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: simplifying conditions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Two-parametric family of sixth order numerical methods for solving systems of ordinary differential equations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 502-517.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17160/1/502-517.pdf
resources.format: Adobe PDF
resources.size: 382,16 kB