Padé-Legendre Interpolants for Gibbs Reconstruction
نویسندگان
چکیده
Dedicated to our friend and mentor, Prof David Gottlieb, on the occasion of his 60 th birthday We discuss the use of Padé-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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عنوان ژورنال:
- J. Sci. Comput.
دوره 28 شماره
صفحات -
تاریخ انتشار 2006