On the monotonicity of the CABARET scheme in the multidimensional case

DOI10.1134/S1064562415030217zbMath1326.65108OpenAlexW2252347652MaRDI QIDQ498200

V. V. Ostapenko, O. A. Kovyrkina

Publication date: 28 September 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415030217

zbMATH Keywords

monotonicitynumerical examplesfinite differencesdiscontinuous solutionshyperbolic equationsCABARET scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) First-order hyperbolic equations (35L02)

Related Items (7)

On the monotonicity of the CABARET scheme approximating a scalar conservation law with a convex flux ⋮ On monotonicity of CABARET scheme approximating the multidimensional scalar conservation law ⋮ Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field ⋮ Monotone approximation of a scalar conservation law based on the CABARET scheme in the case of a sign-changing characteristic field ⋮ Monotonicity of the CABARET scheme approximating a hyperbolic system of conservation laws ⋮ Decay of unstable strong discontinuities in the case of a convex-flux scalar conservation law approximated by the CABARET scheme ⋮ Combined numerical schemes

Cites Work

• The numerical simulation of two-dimensional fluid flow with strong shocks
• On the monotonicity of multidimensional difference schemes
• On the strong monotonicity of the CABARET scheme
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