title: Direct method for solving systems of second order ordinary differential equations. Vestnik of Saint Petersburg University
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: Matrosov, Alexander V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-11-22T16:58:17Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-11-22T16:58:17Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Olemskoy I. V., Eremin A. S., Matrosov A. V. Direct method for solving systems of second order ordinary differential equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2024, vol. 20, iss. 3, pp. 324–334. https://doi.org/10.21638/spbu10.2024.302 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu10.2024.302
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/47979
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the paper a direct solver for systems of structurally partitioned second order differential
  equations is proposed. a general scheme of the method algorithmically oriented towards
  the particular structure of the system is presented. With the last stage reuse (also known as
  FSAL approach) an embedded pair of sixth and fourth order methods with just six stages
  is constructed, which provides an easy step-size control. Numerical comparison is made
  with the well-known Dormand—Prince method 5(4)7F having the same computation cost,
  showing the advantage of the proposed method.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The A. S. Eremin’s work is supported 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 20; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: Runge—Kutta methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: second order equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: structurall partitioned system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: sixth order
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Direct method for solving systems of second order ordinary differential equations. Vestnik of Saint Petersburg University
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: vestnik_spbu10_2024_324.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/47979/1/vestnik_spbu10_2024_324.pdf
resources.format: Adobe PDF
resources.size: 375,18 kB