Mathematics – Numerical Analysis
Scientific paper
2000-02-16
Mathematics
Numerical Analysis
23 pages, for figures contact Doron Levy or visit his web page
Scientific paper
We present a new third-order, semi-discrete, central method for approximating solutions to multi-dimensional systems of hyperbolic conservation laws, convection-diffusion equations, and related problems. Our method is a high-order extension of the recently proposed second-order, semi-discrete method in [16]. The method is derived independently of the specific piecewise polynomial reconstruction which is based on the previously computed cell-averages. We demonstrate our results, by focusing on the new third-order CWENO reconstruction presented in [21]. The numerical results we present, show the desired accuracy, high resolution and robustness of our method.
Kurganov Alexander
Levy Doron
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