Abstract
Numerical analysis has shown that high order finite-volume WENO schemes have only the first order of convergence in the smooth part of a weak solution behind a shock front. The order of integral convergence of the difference solution is found to estimate the accuracy of the translation of the Rankine-Hugoniot conditions through the shock front.
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Original Russian Text © N.A. Mikhailov, 2015, published in Matematicheskoe Modelirovanie, 2015, Vol. 27, No. 2, pp. 129–138.
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Mikhailov, N.A. The convergence order of weno schemes behind a shock front. Math Models Comput Simul 7, 467–474 (2015). https://doi.org/10.1134/S2070048215050075
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DOI: https://doi.org/10.1134/S2070048215050075