title: Combined functional continuous method for delay differential equations
metadata.name: dc.contributor.author
metadata.value: Eremin, Alexey S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-03-05T11:34:54Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-03-05T11:34:54Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Eremin A. S. Combined functional continuous method for delay differential equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 4, pp. 425–441.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2019.402
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17155
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the paper a combined numerical method for discrete delay differential equations is
  presented. The method is an embedded pair of type two explicit Runge—Kutta methods
  of order four: a continuous method with six stages and a stage-continuous method with
  seven stages. Their combination provides an effective solution of discrete delay differential
  equations. The combined method remains explicit for any values of the delay: for small
  values the stage-continuous scheme is used while for large delays a faster continuous scheme
  is applied. The scheme to use is chosen automatically based on whether the delay falls into
  the current step and a switch to the stage-continuous scheme can be made at any stage when
  required. The embedding of the methods lets to minimize the required number of the righthand
  side function computations. The order conditions and the proof of their resolvability
  with the stated number of stages are presented. Tests, confirming the effectiveness of the
  proposed methods, are made.
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: delay differential equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: continuous methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: functional continuous method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stage-continuous method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Combined functional continuous method for delay differential equations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 425-441.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17155/1/425-441.pdf
resources.format: Adobe PDF
resources.size: 346,65 kB