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On coordinate transformations for summation-by-parts operators
2004 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 20, no 1, 29-42 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2004. Vol. 20, no 1, 29-42 p.
Keyword [en]
coordinate transformations, summation-by-parts operators, high order finite difference methods, stability, accuracy, boundary-value-problems, difference approximations, convergence rate
URN: urn:nbn:se:kth:diva-23154ISI: 000188846800002OAI: diva2:341852
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Svärd, Magnus
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