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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki

Zh. Vychisl. Mat. Mat. Fiz., 2012, Volume 52, Number 3, Pages 447–460 (Mi zvmmf9669)

On the strong monotonicity of the CABARET scheme
V. V. Ostapenko

This publication is cited in the following articles:
  1. Alexander Sukhinov, Alexander Chistyakov, Inna Kuznetsova, Yulia Belova, Elena Rahimbaeva, “Development and Research of a Modified Upwind Leapfrog Scheme for Solving Transport Problems”, Mathematics, 10:19 (2022), 3564  crossref
  2. Kulikov Yu.M. Son E.E., “Double Shear Layer Evolution on the Non-Uniform Computational Mesh”, Phys. Scr., 96:12 (2021), 125262  crossref  isi
  3. V. V. Ostapenko, T. V. Protopopova, “On monotonicity of CABARET scheme approximating the multidimensional scalar conservation law”, Num. Anal. Appl., 13:4 (2020), 360–367  mathnet  crossref  crossref  isi
  4. Yu. M. Kulikov, E. E. Son, “Taylor-green vortex simulation using CABARET scheme in a weakly compressible formulation”, Eur. Phys. J. E, 41:3 (2018), 41  crossref  zmath  isi  scopus
  5. N. A. Zyuzina, V. V. Ostapenko, E. I. Polunina, “Splitting method for CABARET scheme approximating the non-uniform scalar conservation law”, Num. Anal. Appl., 11:2 (2018), 146–157  mathnet  crossref  crossref  isi  elib  elib
  6. V. V. Ostapenko, “On strong monotonicity of two-layer in time CABARET scheme”, Math. Models Comput. Simul., 11:1 (2019), 1–8  mathnet  crossref
  7. N. A. Zyuzina, O. A. Kovyrkina, V. V. Ostapenko, “On the monotonicity of the CABARET scheme approximating a scalar conservation law with alternating characteristic field”, Math. Models Comput. Simul., 11:1 (2019), 46–60  mathnet  crossref
  8. N. A. Zyuzina, V. V. Ostapenko, “Decay of unstable strong discontinuities in the case of a convex-flux scalar conservation law approximated by the CABARET scheme”, Comput. Math. Math. Phys., 58:6 (2018), 950–966  mathnet  crossref  crossref  isi  elib
  9. O. A. Kovyrkina, V. V. Ostapenko, “Monotonicity of the CABARET scheme approximating a hyperbolic system of conservation laws”, Comput. Math. Math. Phys., 58:9 (2018), 1435–1450  mathnet  crossref  crossref  isi  elib
  10. V. V. Ostapenko, O. A. Kovyrkina, “Wave flows induced by lifting of a rectangular beam partly immersed in shallow water”, J. Fluid Mech., 816 (2017), 442–467  crossref  mathscinet  zmath  isi  scopus
  11. M. A. Zaitsev, S. A. Karabasov, “Skhema Kabare dlya chislennogo resheniya zadach deformirovaniya uprugoplasticheskikh tel”, Matem. modelirovanie, 29:11 (2017), 53–70  mathnet  elib
  12. V. V. Ostapenko, A. A. Cherevko, “Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux”, Dokl. Phys., 62:10 (2017), 470–474  crossref  mathscinet  isi  scopus
  13. O. A. Kovyrkina, V. V. Ostapenko, “Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field”, Comput. Math. Math. Phys., 56:5 (2016), 783–801  mathnet  crossref  crossref  isi  elib
  14. O. Kovyrkina, V. Ostapenko, “On the monotonicity of multidimensional finite difference schemes”, Application of Mathematics in Technical and Natural Sciences, 8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS-16 (Albena, Bulgaria, 22–27 June 2016), AIP Conf. Proc., 1773, ed. M. Todorov, Amer. Inst. Phys., 2016, 100007  crossref  mathscinet  isi  scopus
  15. A. A. Cherevko, T. S. Gologush, V. V. Ostapenko, I. A. Petrenko, A. P. Chupakhin, “Modeling process of embolization arteriovenous malformation on the basis of two-phase filtration model”, All-Russian Conference on Nonlinear Waves: Theory and New Applications (Wave16), Journal of Physics Conference Series, 722, IOP Publishing Ltd, 2016, UNSP 012009  crossref  isi  scopus
  16. M F Ivanov, A D Kiverin, S G Pinevich, I S Yakovenko, “Application of dissipation-free numerical method CABARET for solving gasdynamics of combustion and detonation”, J. Phys.: Conf. Ser., 754:10 (2016), 102003  crossref
  17. N. A. Zyuzina, V. V. Ostapenko, “On the monotonicity of the cabaret scheme approximating a scalar conservation law with a convex flux”, Dokl. Math., 93:1 (2016), 69–73  crossref  mathscinet  zmath  isi  elib  scopus
  18. N. A. Zyuzina, V. V. Ostapenko, “Monotone approximation of a scalar conservation law based on the CABARET scheme in the case of a sign-changing characteristic field”, Dokl. Math., 94:2 (2016), 538–542  crossref  mathscinet  zmath  isi  elib  scopus
  19. V. V. Kuznetsova, V. V. Ostapenko, “Flows caused by rise of a rectangular bar partially immersed in shallow water”, Dokl. Phys., 61:3 (2016), 133–137  crossref  mathscinet  isi  scopus
  20. N. A. Zyuzina, V. V. Ostapenko, “Modification of the Cabaret scheme ensuring its high accuracy on local extrema”, Math. Models Comput. Simul., 8:3 (2016), 231–237  mathnet  crossref  elib
  21. O. A. Kovyrkina, V. V. Ostapenko, “On the monotonicity of the CABARET scheme in the multidimensional case”, Dokl. Math., 91:3 (2015), 323–328  crossref  mathscinet  zmath  isi  elib  scopus
  22. V. E. Nakoryakov, V. V. Ostapenko, M. V. Bartashevich, “Investigation into roll waves on the surface of a condensate falling film”, Dokl. Phys., 59:2 (2014), 94–98  crossref  mathscinet  isi  elib  scopus
  23. N. A. Zyuzina, V. V. Ostapenko, “Modification of the cabaret scheme ensuring its strong monotonicity and high accuracy on local extrema”, Dokl. Math., 90:1 (2014), 453–457  crossref  mathscinet  zmath  isi  elib  scopus
  24. A. V. Rodionov, “A comparison between the CABARET scheme and the MUSCL-type schemes”, Math. Models Comput. Simul., 6:2 (2014), 203–225  mathnet  crossref  mathscinet


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