@TechReport{ it:2001-015, author = {Magnus Sv{\"a}rd}, title = {On coordinate transformations for summation-by-parts operators}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Scientific Computing}, year = {2001}, number = {2001-015}, month = aug, abstract = {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. } }