Towards numerical procedures for those technical phenomena whose mathematical models lead to non-standard conservation laws

DOI10.1016/S0378-4754(02)00099-XzbMath1015.65035MaRDI QIDQ1861365

Yanyan Li

Publication date: 16 March 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical resultsconservation lawsnonstandard finite difference methodnonlocal approximation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

Phragmén-Lindelöf and continuous dependence type results in a Stokes flow

Cites Work

• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• Riemann Solvers, the Entropy Condition, and Difference
• Stable and Entropy Satisfying Approximations for Transonic Flow Calculations
• On finite-difference approximations and entropy conditions for shocks
• A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling
• Informationsverlust, abstrakte Entropie und die mathematische Beschreibung des zweiten Hauptsatzes der Thermodynamik
• Systems of conservation laws
• Systems of Conservation Equations with a Convex Extension
• A Geometric Theory of Conservation Laws which Change Type: Plenary Lecture held at the Annual GAMM Conference at Braunschweig, Germany, April 4‐9, 1994
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Towards numerical procedures for those technical phenomena whose mathematical models lead to non-standard conservation laws