Monotone approximation of a scalar conservation law based on the CABARET scheme in the case of a sign-changing characteristic field

DOI10.1134/S1064562416050185zbMath1359.65167OpenAlexW2551110510MaRDI QIDQ512503

V. V. Ostapenko, N. A. Zyuzina

Publication date: 27 February 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562416050185

zbMATH Keywords

numerical examplefinite difference methodCABARET schemequasilinear scalar conservation law

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

Mathematical modeling of embolization of arteriovenous malformations with overflows on the basis of the two-phase filtering ⋮ Monotonicity of the CABARET scheme approximating a hyperbolic system of conservation laws ⋮ Flux-corrected dispersion-improved CABARET schemes for linear and nonlinear wave propagation problems ⋮ 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

• On the monotonicity of the CABARET scheme in the multidimensional case
• The numerical simulation of two-dimensional fluid flow with strong shocks
• On the strong monotonicity of the CABARET scheme
• Equivalent definitions of conservative finite-difference schemes
• Generalized Leapfrog Methods
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