Computation of travelling wave solutions of scalar conservation laws with a stiff source term.

DOI10.1016/S0045-7930(02)00079-8zbMath1048.76041WikidataQ115036097 ScholiaQ115036097MaRDI QIDQ1402655

Antonio Marquina, Vicente Martínez

Publication date: 28 August 2003

Published in: Computers and Fluids (Search for Journal in Brave)

zbMATH Keywords

first-order Lax-Friedrichs schemesecond-order Nessyahu-Tadmor scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Reaction effects in flows (76V05)

Related Items

ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations

Cites Work

• Non-oscillatory central differencing for hyperbolic conservation laws
• A subcell resolution method for viscous systems of conservation laws
• Large-time behavior in inhomogeneous conservation laws
• Upwind methods for hyperbolic conservation laws with source terms
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Numerical analysis of two operator splitting methods for an hyperbolic system of conservation laws with stiff relaxation terms
• Numerical Methods for Hyperbolic Conservation Laws with Stiff Relaxation II. Higher-Order Godunov Methods
• A Numerical Method for Viscous Perturbations of Hyperbolic Conservation Laws
• Theoretical and Numerical Structure for Reacting Shock Waves
• Numerical Wave Propagation in an Advection Equation with a Nonlinear Source Term
• A priori error estimate for a well-balanced scheme designed for inhomogeneous scalar conservation laws
• Travelling wave solutions for a balance law
• Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item