Generalized Glimm scheme to the initial boundary value problem of hyperbolic systems of balance laws

DOI10.1016/j.na.2009.07.003zbMath1181.35142OpenAlexW2009714372MaRDI QIDQ1049025

Ying-Chin Su, John M. Hong

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.07.003

zbMATH Keywords

Riemann problemboundary Riemann problemhyperbolic systems of balance lawsgeneralized Glimm schemeLax's method

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (3)

Global bounded variation solutions describing Fanno–Rayleigh fluid flows in nozzles ⋮ The initial-boundary value problem of hyperbolic integro-differential systems of nonlinear balance laws ⋮ The generalized Buckley-Leverett and the regularized Buckley-Leverett equations

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