Convergence of an accurate scheme for first order quasi linear equations

DOI10.1051/m2an/1981150201511zbMath0474.65073OpenAlexW2586324090MaRDI QIDQ3928963

Alain-Yves Le Roux

Publication date: 1981

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193373

zbMATH Keywords

Lax-Wendroffquasi linear first order equationsquasi order two accuracy schemescheme of Godunov

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Initial value problems for nonlinear first-order PDEs (35F25) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (8)

First and second order error estimates for the Upwind Source at Interface method ⋮ Convergence of the Two-Point Upstream Weighting Scheme ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ On a class of implicit and explicit schemes of Van-Leer type for scalar conservation laws ⋮ A New Version of the Two-Dimensional Lax-Friedrichs Scheme ⋮ Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations ⋮ On convergence of Roe's scheme for the general nonlinear scalar wave equation ⋮ Entropy Boundary Conditions in the Theory of Sedimentation of Ideal Suspensions

Cites Work

• Flux-corrected transport. II: Generalizations of the method
• First order quasilinear equations with boundary conditions
• On finite-difference approximations and entropy conditions for shocks
• On the convergence of the Godounov's scheme for first order quasi linear equations
• A Numerical Conception of Entropy for Quasi-Linear Equations
• Systems of conservation laws
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