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Decay of Unstable Strong Discontinuities in the Case of a Convex-Flux Scalar Conservation Law Approximated by the CABARET Scheme

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Published in 2018 at "Computational Mathematics and Mathematical Physics"

DOI: 10.1134/s0965542518060155

Abstract: Monotonicity conditions for the CABARET scheme approximating a quasilinear scalar conservation law with a convex flux are obtained. It is shown that the monotonicity of the CABARET scheme for Courant numbers $$r \in (0.5,1]$$ does… read more here.

Keywords: scalar conservation; decay unstable; strong discontinuities; unstable strong ... See more keywords