References
V. M. Goloviznin and A. A. Samarskii, Mat. Model. 10(1), 86–100 (1998).
V. M. Goloviznin and A. A. Samarskii, Mat. Model. 10(1), 101–116 (1998).
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).
V. M. Goloviznin, Dokl. Math. 72(1), 619–623 (2005).
P. Woodward and P. Colella, J. Comp. Phys. 54(1), 115–173 (1984).
V. V. Ostapenko, Mat. Model. 21(7), 29–42 (2009).
V. V. Ostapenko, Comput. Math. Math. Phys. 52(3), 387–399 (2012).
S. A. Karabasov and V. M. Goloviznin, AIAA J. 45(12), 2861–2871 (2007).
S. A. Karabasov, P. S. Berloff, and V. M. Goloviznin, Ocean Model. 30(2), 155–168 (2009).
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].
O. A. Kovyrkina and V. V. Ostapenko, Math. Model. Comput. Simul. 5(2), 180–189 (2012).
V. V. Ostapenko, Dokl. Math. 86(3), 766–769 (2012).
Author information
Authors and Affiliations
Corresponding author
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
About this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562415030217