\(L^2\) stability of nonlinear finite-volume schemes for linear hyperbolic systems

DOI10.1016/J.CRMA.2013.09.008zbMath1279.65105OpenAlexW1968208195MaRDI QIDQ386674

Michaël Ndjinga

Publication date: 10 December 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.09.008

zbMATH Keywords

stabilityhyperbolic systemscondition numberfinite-volume scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) First-order hyperbolic systems (35L40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (2)

Weak Convergence of Nonlinear Finite Volume Schemes for Linear Hyperbolic Systems ⋮ On the $$L^2$$ Stability of Finite Volumes for Stationary First Order Systems

Cites Work

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• Stability analysis of the cell centered finite-volume MUSCL method on unstructured grids
• Comparison of Upwind and Centered Schemes for Low Mach Number Flows
• On the Conditioning of Finite Element Equations with Highly Refined Meshes
• Convergence de la méthode des volumes finis pour les systèmes de Friedrichs
• Lax theorem and finite volume schemes

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