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This paper addresses the recovery of piecewise smooth functions from their discrete data. Reconstruction methods using both pseudo-spectral coefficients and physical space interpolants have been discussed extensively in the literature, and it is clear that an a priori knowledge of the jump discontinuity location is essential for any reconstruction technique to yield spectrally accurate results with high resolution near the discontinuities. Hence detection of the jump discontinuities is critical...
This paper addresses the recovery of piecewise smooth functions from
their discrete data.
Reconstruction methods using both pseudo-spectral coefficients and
physical space interpolants have been discussed extensively in the
literature, and it is clear that an knowledge of the jump
discontinuity location is essential for any reconstruction technique
to yield spectrally accurate results with high resolution near the
discontinuities. Hence detection of the jump discontinuities is
critical for all...
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