ENO reconstruction and ENO interpolation are stable

Details ENO reconstruction and ENO interpolation are stable ENO reconstruction and ENO interpolation are stable

2011-12-06

arxiv.org/abs/1112.1131v1

Mathematics

Numerical Analysis

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

ENO reconstruction and ENO interpolation are stable does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with ENO reconstruction and ENO interpolation are stable, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and ENO reconstruction and ENO interpolation are stable will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-380084