On maximum-principle-satisfying high order schemes for scalar conservation laws

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DOI10.1016/j.jcp.2009.12.030zbMath1187.65096OpenAlexW2008956940MaRDI QIDQ964243

Xiangxiong Zhang, Chi-Wang Shu

Publication date: 15 April 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.12.030

zbMATH Keywords

maximum principle numerical examples discontinuous Galerkin method hyperbolic conservation laws incompressible flow finite volume scheme high order accuracy weighted essentially non-oscillatory scheme essentially non-oscillatory scheme passive convection equation strong stability preserving time discretization

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Cites Work

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