BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws

DOI10.1090/S0002-9939-02-06688-1zbMath1195.35209OpenAlexW1561227214MaRDI QIDQ4787513

Tong Yang, Huijiang Zhao, Changjiang Zhu

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06688-1

zbMATH Keywords

hyperbolic systems of conservation lawsBV estimatesLax-Friedrichs' scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (3)

BV Estimates on Lax–Friedrichs' Scheme or a Model of Radiating Gas ⋮ BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity ⋮ A BOUNDED VARIATION ESTIMATE FOR THE FORCE SCHEME APPLIED TO STRICTLY HYPERBOLIC SYSTEMS OF CONSERVATION LAWS IN THE TEMPLE CLASS

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of approximate solutions to conservation laws
• Uniqueness of weak solutions to systems of conservation laws
• On the convergence of Godunov scheme for nonlinear hyperbolic systems
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• A center manifold technique for tracing viscous waves
• BV solutions for a class of viscous hyperbolic systems
• Hyperbolic systems of conservation laws II
• Convergence of The Lax–Friedrichs' Scheme For Equaitons of Isentropic Gas Dynamics in Lagrangian Coordinates^∗
• Well-posedness theory for hyperbolic conservation laws
• Systems of Conservation Laws with Invariant Submanifolds
• Discontinuous solutions of non-linear differential equations
• Solutions in the large for nonlinear hyperbolic systems of equations

This page was built for publication: BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws