Uppsala University Department of Information Technology

Technical Report 2001-015

On coordinate transformations for summation-by-parts operators

Magnus Svärd

August 2001

High order finite difference methods obeying a summation-by-parts (SBP) rule are developed for equidistant grids. With curvilinear grids, a coordinate transformation operator that does not destroy the SBP property must be used. We show that it is impossible to construct such an operator without decreasing the order of accuracy of the method.

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Uppsala Universitet