\(L^{\infty}\) stability of the MUSCL methods

DOI10.1007/s00211-010-0299-2zbMath1228.65180OpenAlexW2159293972MaRDI QIDQ985703

Vivien Clauzon, Stéphane Clain

Publication date: 6 August 2010

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0299-2

zbMATH Keywords

stabilitynumerical examplessemi-discreteconvexity propertyEuler forward discretizationhyperbolic scalar equationsmonoslope (classical) MUSCLmonotone upwind schemes for conservation laws (MUSCL)multislope MUSCL methodsign inversion property

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

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