research article
Pade-legendre interpolants for Gibbs reconstruction
We discuss the use of Pade-Legendre interpolants as an approach for the postprocessing of data contaminated by Gibbs oscillations. A fast interpolation based reconstruction is proposed and its excellent performance illustrated on several problems. Almost non-oscillatory behavior is shown without knowledge of the position of discontinuities. Then we consider the performance for computational data obtained from nontrivial tests, revealing some sensitivity to noisy data. A domain decomposition approach is proposed as a partial resolution to this and illustrated with examples.
Type
research article
Web of Science ID
WOS:000240106000012
Author(s)
Date Issued
2006
Publisher
Published in
Volume
28
Issue
2-3
Start page
337
End page
359
Editorial or Peer reviewed
REVIEWED
Written at
OTHER
EPFL units
Available on Infoscience
November 12, 2013
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