title: Estimates in the Taylor series method for polynomial 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: 2021-05-04T14:12:09Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-05-04T14:12:09Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Babadzanjanz L. K., Pototskaya I. Yu., Pupysheva Yu. Yu. Estimates in the Taylor series method for polynomial total systems of PDEs. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 1, pp. 27–39.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.103
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/28421
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Many of total systems of PDEs can be reduced to the polynomial form. As was shown
  by various authors, one of the best methods for the numerical solution of the initial value
  problem for ODE systems is the Taylor Series Method (TSM). In the article, the authors
  consider the Cauchy problem for the total polynomial PDE system, obtain the recurrence
  formulas for Taylor coefficients, and then formulate and prove a theorem on the accuracy of
  its solutions by TSM.
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 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: Taylor Series Method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: total polynomial 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 in the Taylor series method for polynomial total systems of PDEs
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03_Babadzanjanz.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/28421/1/03_Babadzanjanz.pdf
resources.format: Adobe PDF
resources.size: 286,93 kB