Modification of the CABARET scheme ensuring its strong monotonicity and high accuracy on local extrema

DOI10.1134/S1064562414050123zbMath1308.76234OpenAlexW1969919565MaRDI QIDQ483667

N. A. Zyuzina, V. V. Ostapenko

Publication date: 17 December 2014

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

Full work available at URL: https://doi.org/10.1134/s1064562414050123

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Third order nonoscillatory central scheme for hyperbolic conservation laws
• On monotonicity of finite-difference schemes
• On strong monotonicity of three-point difference schemes
• Balanced characteristic method for systems of hyperbolic conservation laws
• On the strong monotonicity of the CABARET scheme
• Uniformly High-Order Accurate Nonoscillatory Schemes. I

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