Gibbs' phenomenon

Gibbs' phenomenon

[′gibz fə‚näm·ə‚nän]
(mathematics)
A convergence phenomenon occurring when a function with a discontinuity is approximated by a finite number of terms from a Fourier series.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive ?
Boyd, "Trouble with GEGenbauer reconstruction for defeating GIBbs' phenomenon: Runge phenomenon in the diagonal limit of GEGenbauer polynomial approximations," Journal of Computational Physics, vol.
Improving Fourier Partial Sum Approximation for Discontinuous Functions Using a Weight Function
Paulo invited Abdul to give the first plenary talk on Gibbs' Phenomenon in sampling [1997]; this was most appropriate--the proceedings were dedicated to his 65th birthday.
Abdul Jerri: an appreciation on his seventy-seventh birthday

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