Existence of the discrete travelling waves for a relaxing scheme

DOI10.1016/S0893-9659(97)00046-3zbMath0885.65098OpenAlexW1969933799MaRDI QIDQ1372280

Tong Yang, Jinghua Wang, Hai-liang Liu

Publication date: 14 December 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(97)00046-3

zbMATH Keywords

conservation lawdiscrete shockdiscrete travelling wavemonotone conservative difference schemerelaxing scheme

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Existence and asymptotic stability of relaxation discrete shock profiles ⋮ Convection Systems with Stiff Source Terms

Cites Work

• Hyperbolic conservation laws with relaxation
• Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes
• One-Sided Difference Approximations for Nonlinear Conservation Laws
• Discrete shocks
• Discrete shock profiles for systems of conservation laws