Abstract
Stability for nonlinear convection problems using centered difference schemes require the addition of artificial dissipation. In this paper we present dissipation operators that preserve both stability and accuracy for high order finite difference approximations of initial boundary value problems.
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Mattsson, K., Svärd, M. & Nordström, J. Stable and Accurate Artificial Dissipation. Journal of Scientific Computing 21, 57–79 (2004). https://doi.org/10.1023/B:JOMP.0000027955.75872.3f
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DOI: https://doi.org/10.1023/B:JOMP.0000027955.75872.3f