Finite-Difference Method for Solution of Advection Equation by Unstable Schemes | SpringerLink
Skip to main content
Springer Nature Link
Log in

Finite-Difference Method for Solution of Advection Equation by Unstable Schemes

  • Conference paper
  • First Online:
Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

Included in the following conference series:

Abstract

In this work the analysis of two-layer differential schemes for the one-dimensional uniform linear equation of transfer is carried out: (a) the first finite-difference scheme is the UPWIND evolution scheme; (b) the second finite-difference scheme has central differential approximation of the convective term (Explicit Central Space evolution scheme); (c) the third scheme represents a downstream finite difference with a regularization term (Regularized Downwind evolution scheme). The special attention in this work is paid to a question of stability enhancement of differential schemes.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 5719
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 7149
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Samarskii, A.A.: The Theory of Difference Schemes. Marcel Dekker Inc., New York (2001)

    Google Scholar 

  2. Kalitkin, N.N.: Numerical Methods: Tutorial. BKhV-Peterburg Publ., St. Petersburg (2011). (in Russian)

    Google Scholar 

  3. Galanin, M.P., Savenkov, E.B.: Methods of Numerical Analysis of the Mathematical Models. Bauman MSTU Publ, Moscow (2010). (in Russian)

    Google Scholar 

Download references

Acknowledgements

This project has received funding from Russian Fund for Basic Researches (projects no. 15-01-04620-a, 16-07-00519-a).

Author information

Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, 4 Miusskaya sq., 125047, Moscow, Russia

    Igor V. Popov

  2. National Research Nuclear University MEPhI, 31 Kashirskoe sh., 115409, Moscow, Russia

    Igor V. Popov

Authors
  1. Igor V. Popov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Igor V. Popov .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Popov, I.V. (2017). Finite-Difference Method for Solution of Advection Equation by Unstable Schemes. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_63

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-57099-0_63

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation