On the convergence of the Godounov's scheme for first order quasi linear equations

DOI10.3792/pja/1195518212zbMath0372.35015OpenAlexW2030613080MaRDI QIDQ4150064

Alain-Yves Le Roux

Publication date: 1976

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518212

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35)

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Cites Work

• A Numerical Conception of Entropy for Quasi-Linear Equations
• Discontinuous solutions of non-linear differential equations
• Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
• Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
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