title: Estimates for Taylor series method to linear total systems of PDEs
metadata.name: dc.contributor.author
metadata.value: Babadzanjanz, Levon K.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Pototskaya, Irina Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Pupysheva, Yulia Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-08-24T19:33:42Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-08-24T19:33:42Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Babadzanjanz L. K., Pototskaya I. Yu., Pupysheva Yu. Yu. Estimates for Taylor series method to linear total systems of PDEs. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 2, pp. 112–120.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.203
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19013
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A large number of differential equations can be reduced to polynomial form. As was shown in
  a number of works by various authors, one of the best methods for the numerical solution of
  the initial value problem for such ODE systems is the method of Taylor series. In this article
  we consider the Cauchy problem for the total linear PDE system, and then — a theorem
  about the accuracy of its solutions by this method is formulated and proved. In the final
  part of the article, four examples of total systems of partial differential equations to the
  well-known two-body problem are proposed: two of them are related to the Kepler equation,
  one to the motion of a point in the orbit plane, and the last to the motion of the orbit plane.
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 16; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Taylor series method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: total linear PDE system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: polynomial system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: numerical PDE system integration
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Estimates for Taylor series method to linear total systems of PDEs
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 112-120.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19013/1/112-120.pdf
resources.format: Adobe PDF
resources.size: 276,97 kB