title: Second order monotone difference schemes with approximation on non-uniform grids for two-dimensional quasilinear parabolic convection-diffusion equations
metadata.name: dc.contributor.author
metadata.value: Hieu, Le Minh
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Thanh, Dang Ngoc Hoang
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Prasath, V. B. Surya
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-05-28T18:13:49Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-05-28T18:13:49Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Hieu Le M., Thanh D. N. H., Prasath V.B. S. Second order monotone difference schemes with approximation on non-uniform grids for two-dimensional quasilinear parabolic convection-diffusion equations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 343–355.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.216
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17952
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The present communication is devoted to the construction of monotone difference schemes
  of the second order of local approximation on non-uniform grids in space for 2D quasilinear
  parabolic convection-diffusion equation. With the help of difference maximum principle,
  two-sided estimates of the difference solution are established and an important a
  priori estimate in a uniform norm C is proved. It is interesting to note that the maximal
  and minimal values of the difference solution do not depend on the diffusion and convection
  coefficients.
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 7 (65); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: non-uniform grid
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: maximum principle
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: regularization principle
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: monotone difference scheme
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: convection-diffusion equation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Second order monotone difference schemes with approximation on non-uniform grids for two-dimensional quasilinear parabolic convection-diffusion equations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 343-355.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17952/1/343-355.pdf
resources.format: Adobe PDF
resources.size: 374,89 kB