We prove stability estimates for the ENO reconstruction and ENO interpolation procedures. In particular, we show that the jump of the reconstructed ENO pointvalues at each cell interface has the same sign as the jump of the underlying cell averages across that interface. We also prove that the jump of the reconstructed values can be upper-bounded in terms of the jump of the underlying cell averages. Similar sign properties hold for the ENO interpolation procedure. These estimates, which are shown to hold for ENO reconstruction and interpolation of arbitrary order of accuracy and on non-uniform meshes, indicate a remarkable rigidity of the piecewise-polynomial ENO procedure. Show more
Journal / seriesResearch reports
PublisherSeminar für Angewandte Mathematik, ETH
Organisational unit03851 - Mishra, Siddhartha / Mishra, Siddhartha
NotesSee also: http://e-citations.ethbib.ethz.ch/view/pub:73121.
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