Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field

DOI10.1134/S0965542516050122zbMath1358.65057OpenAlexW2488861960MaRDI QIDQ327059

O. A. Kovyrkina, V. V. Ostapenko

Publication date: 13 October 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542516050122

zbMATH Keywords

monotonicitynumerical examplehyperbolic equationsCABARET difference schemesign-changing characteristic fieldupwind leapfrog schem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

Application of the CABARET scheme for calculating discontinuous solutions of a hyperbolic system of conservation laws ⋮ 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

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• On the monotonicity of the CABARET scheme in the multidimensional case
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Balanced characteristic method for systems of hyperbolic conservation laws
• On the strong monotonicity of the CABARET scheme
• Equivalent definitions of conservative finite-difference schemes
• Generalized Leapfrog Methods

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