title: Algorithm of construction of effective explicit methods for structurally partitioned systems of ordinary differential equations
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.date.accessioned
metadata.value: 2022-01-18T10:52:33Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-01-18T10:52:33Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Olemskoy I. V., Eremin A. S. Algorithm of construction of effective explicit methods for structurally partitioned systems of ordinary differential equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 4, pp. 353-369.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.404
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/34152
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Systems of ordinary differential equations partitioned on base of their right-hand side dependencies on the unknown functions are considered. Explicit multischeme Runge— Kutta
  methods for such systems are presented. These methods require fewer right-hand side computations (stages) than classic single-scheme Runge— Kutta methods to provide the same
  order of convergence. The full system of order conditions is presented. This system is reduced
  to several independent linear systems with help of the simplifying relations. The algorithm
  of computing the order conditions system solution with six free parameters is given. A particular choice of free parameters and the corresponding computational scheme are presented.
  The advantage of the presented methods is shown by the numerical comparison to the known
  classic six order method by J. C. Butcher.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 17; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: partitioned methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: structural partitioning
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: order conditions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: explicit Runge — Kutta
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: multischeme methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: sixth order method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Algorithm of construction of effective explicit methods for structurally partitioned systems of ordinary differential equations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 353-369.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/34152/1/353-369.pdf
resources.format: Adobe PDF
resources.size: 437,22 kB