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research article

Pade-legendre interpolants for Gibbs reconstruction

Hesthaven, Jan S.  
•
Kaber, S. M.
•
Lurati, L.
2006
Journal of Scientific Computing

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.

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Type
research article
DOI
10.1007/s10915-006-9085-9
Web of Science ID

WOS:000240106000012

Author(s)
Hesthaven, Jan S.  
Kaber, S. M.
Lurati, L.
Date Issued

2006

Publisher

Springer Verlag

Published in
Journal of Scientific Computing
Volume

28

Issue

2-3

Start page

337

End page

359

Subjects

Pade interpolants

•

Legendre polynomials

•

Gibbs phenomenon

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
MCSS  
Available on Infoscience
November 12, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/96906
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