The Lax-Wendroff Theorem of Entropy Dissipation Method for Scalar Conservation Laws in One Space Dimension


  •  Hongxia Li    

Abstract

In this paper, we present the Lax-Wendroff theorem of entropy dissipation method for scalar conservation
laws in one space dimension. Suppose that ul(x, t) the numerical solution computed by the entropy dissipation
method converges to a function u(x, t) as l ? ?,then u(x, t) is a weak solution that satisfying the entropy
condition of the conservation law.


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