title: Determination of breakpoints and the magnitude of the jump of the original according to its Laplace image
metadata.name: dc.contributor.author
metadata.value: Lebedeva, Anastasia V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ryabov, Victor M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-07-04T12:14:44Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-07-04T12:14:44Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Lebedeva A. V., Ryabov V.M. Determination of breakpoints and the magnitude of the jump of the original according to its Laplace image. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 2, pp. 316–323. https://doi.org/10.21638/spbu01.2024.205 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.205
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45695
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The application of the integral Laplace transform for a wide class of problems leads to
  a simpler equation for the image of the desired original. At the next step, the inversion
  problem arises, i. e., finding the original by its image. As a rule, it is not possible to carry
  out this step analytically. The problem arises of using approximate inversion methods. In
  this case, the approximate solution is represented as a linear combination of the image and its derivatives at a number of points of the complex half-plane in which the image is
  regular. However, the original, unlike the image, may even have break points. Of undoubted
  interest is the task of developing methods for determining the possible break points of the
  original and the magnitude of the original jump at these points. The proposed methods
  use the values of high-order image derivatives in order to obtain a satisfactory accuracy
  of approximate solutions. Methods for accelerating the convergence of the obtained approximations
  are indicated. The results of numerical experiments illustrating the effectiveness
  of the proposed methods are presented.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This paper was prepared with the support by a grant from St. Petersburg State University “Event 3”
  (Pure ID 75207094).
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. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Laplace integral transform
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: inversion problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: original discontinuity points
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: original jump
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Determination of breakpoints and the magnitude of the jump of the original according to its Laplace image
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 316-323.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45695/1/316-323.pdf
resources.format: Adobe PDF
resources.size: 408,17 kB