Skip to main content
Log in

On the monotonicity of the CABARET scheme in the multidimensional case

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. V. M. Goloviznin and A. A. Samarskii, Mat. Model. 10(1), 86–100 (1998).

    MathSciNet  Google Scholar 

  2. V. M. Goloviznin and A. A. Samarskii, Mat. Model. 10(1), 101–116 (1998).

    MathSciNet  Google Scholar 

  3. A. G. Kulikovskii, N. V. Pogorelov, and A. Yu. Semenov, Mathematical Aspects of Numerical Solution of Hyperbolic Systems (Fizmatlit, Moscow, 2001; Chapman and Hall/CRC, London, 2001).

    Google Scholar 

  4. V. M. Goloviznin, Dokl. Math. 72(1), 619–623 (2005).

    Google Scholar 

  5. P. Woodward and P. Colella, J. Comp. Phys. 54(1), 115–173 (1984).

    Article  MathSciNet  Google Scholar 

  6. V. V. Ostapenko, Mat. Model. 21(7), 29–42 (2009).

    MathSciNet  Google Scholar 

  7. V. V. Ostapenko, Comput. Math. Math. Phys. 52(3), 387–399 (2012).

    Article  MathSciNet  Google Scholar 

  8. S. A. Karabasov and V. M. Goloviznin, AIAA J. 45(12), 2861–2871 (2007).

    Article  Google Scholar 

  9. S. A. Karabasov, P. S. Berloff, and V. M. Goloviznin, Ocean Model. 30(2), 155–168 (2009).

    Article  Google Scholar 

  10. V. M. Goloviznin, M. A. Zaitsev, S. A. Karabasov, and I. A. Korotkin, New CFD Algorithms for Multiprocessor Computer Systems (Mosk. Gos. Univ., Moscow, 2013) [in Russian].

    Google Scholar 

  11. O. A. Kovyrkina and V. V. Ostapenko, Math. Model. Comput. Simul. 5(2), 180–189 (2012).

    Article  MathSciNet  Google Scholar 

  12. V. V. Ostapenko, Dokl. Math. 86(3), 766–769 (2012).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. A. Kovyrkina.

Additional information

Original Russian Text © O.A. Kovyrkina, V.V. Ostapenko, 2015, published in Doklady Akademii Nauk, 2015, Vol. 462, No. 4, pp. 385–390.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kovyrkina, O.A., Ostapenko, V.V. On the monotonicity of the CABARET scheme in the multidimensional case. Dokl. Math. 91, 323–328 (2015). https://doi.org/10.1134/S1064562415030217

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562415030217

Keywords

Navigation