✦ LIBER ✦

On the Gibbs Phenomenon and Its Resolution

✍ Scribed by Gottlieb, David; Shu, Chi-Wang

Book ID: 120944562
Publisher: Society for Industrial and Applied Mathematics
Year: 1997
Tongue: English
Weight: 871 KB
Volume: 39
Category: Article
ISSN: 0036-1445
DOI: 10.1137/S0036144596301390

No coin nor oath required. For personal study only.

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It is shown that a Gibbs phenomenon occurs in the wavelet expansion of a function with a jump discontinuity at 0 for a wide class of wavelets. Additional results are provided on the asymptotic behavior of the Gibbs splines and on methods to remove the Gibbs phenomenon.