High-Order Schemes and Entropy Condition for Nonlinear Hyperbolic Systems of Conservation Laws

DOI10.2307/2007914zbMath0644.65058OpenAlexW4254378844MaRDI QIDQ3787385

Jean-Paul Vila

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2007914

zbMATH Keywords

convergencehyperbolic systems of conservation lawstotal variation decreasingentropy-satisfying solutionquasi second-order approximations

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)

Related Items

Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations, Convergence of higer order finite volume schemes on irregular grids, Convergence of the Two-Point Upstream Weighting Scheme, Convergence of a second-order scheme for non-local conservation laws, Convergence of Second-Order Schemes for Isentropic Gas Dynamics, On a class of implicit and explicit schemes of Van-Leer type for scalar conservation laws, An entropy-correction free solver for non-homogeneous shallow water equations, An entropy-correction free solver for non-homogeneous shallow water equations

Cites Work

• Unnamed Item
• Unnamed Item
• High resolution schemes for hyperbolic conservation laws
• Flux-corrected transport. II: Generalizations of the method
• A systematic approach for correcting nonlinear instabilities: The Lax- Wendroff scheme for scalar conservation laws
• High Resolution Schemes and the Entropy Condition
• Numerical Stability for Some Equations of Gas Dynamics
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Convergence of an Antidiffusion Lagrange-Euler Scheme for Quasilinear Equations
• Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
• The Large-Time Behavior of the Scalar, Genuinely Nonlinear Lax-Friedrichs Scheme
• Simplified Godunov Schemes for $2 \times 2$ Systems of Conservation Laws
• A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws
• On finite-difference approximations and entropy conditions for shocks