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Boundary Procedures for Summation-by-Parts Operators

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Abstract

Four different methods of imposing boundary conditions for the linear advection-diffusion equation and a linear hyperbolic system are considered. The methods are analyzed using the energy method and the Laplace transform technique. Numerical calculations are done, considering in particular the case when the initial data and boundary data are inconsistent.

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  1. Department of Scientific Computing, Information Technology, Uppsala University, P.O. Box 120, S-751 04, Uppsala, Sweden

    Ken Mattsson

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  1. Ken Mattsson
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Mattsson, K. Boundary Procedures for Summation-by-Parts Operators. Journal of Scientific Computing 18, 133–153 (2003). https://doi.org/10.1023/A:1020342429644

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