Equal-area method for scalar conservation laws
arXiv:1002.32601.23 citations
Originality Synthesis-oriented
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This work offers a new numerical approach for solving conservation laws, but it is limited to one-dimensional problems and does not demonstrate clear advantages over existing methods.
The paper develops a simple numerical method for computing entropy admissible weak solutions to one-dimensional scalar conservation laws, based on the equal-area principle, which directly provides the solution at a given time.
We study one-dimensional conservation law. We develop a simple numerical method for computing the unique entropy admissible weak solution to the initial problem. The method basis on the equal-area principle and gives the solution for given time directly.