Upwind and High-Resolution Schemes pp 134-148 | Cite as

# Convergence of Generalized Muscl Schemes

Chapter

## Abstract

Semidiscrete generalizations of the second order extension of Godunov’s scheme, known as the MUSCL scheme, are constructed, starting with any three point “*E*” scheme. They are used to approximate scalar conservation laws in one space dimension. For convex conservation laws, each member of a wide class is proven to be a convergent approximation to the correct physical solution. Comparison with another class of high resolution convergent schemes is made.

## Keywords

Riemann Problem Entropy Solution Entropy Condition Entropy Inequality Flux Function
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