Existence of discrete shock profiles of a class of monotonicity preserving schemes for conservation laws

DOI10.1090/S0025-5718-00-01254-0zbMath0974.35074OpenAlexW2008358701MaRDI QIDQ2719064

Haitao Fan

Publication date: 14 May 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01254-0

zbMATH Keywords

MUSCL schemediscrete traveling wavemonotonicity preserving approximations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items

Existence and asymptotic stability of relaxation discrete shock profiles ⋮ Steady discrete shocks of high-order RBC schemes ⋮ An investigation of the internal structure of shock profiles for shock capturing schemes ⋮ Discrete shock profiles for scalar conservation laws with discontinuous fluxes ⋮ Second-Order Convergence of Monotone Schemes for Conservation Laws

Cites Work

• Discrete shocks for difference approximations to systems of conservation laws
• Nonlinear stability of discrete shocks for systems of conservation laws
• Discrete shocks
• Discrete shock profiles for systems of conservation laws
• Optimal L1-Rate of Convergence for The Viscosity Method and Monotone Scheme to Piecewise Constant Solutions with Shocks
• Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws
• The Sharpness of Kuznetsov's O(√Δx)L 1 -Error Estimate for Monotone Difference Schemes