Journal of Mathematics Research
The Lax-Wendroff Theorem of Entropy Dissipation Method for Scalar Conservation Laws in One Space Dimension
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.
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.
This work is licensed under a Creative Commons Attribution 3.0 License.
Journal of Mathematics Research ISSN 1916-9795 (Print) ISSN 1916-9809 (Online)
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