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单词 Gibbs Phenomenon
释义

Gibbs Phenomenon

An overshoot of Fourier Series and other Eigenfunction series occurring at simple Discontinuities. It can be removed with the Lanczos Sigma Factor.

See also Fourier Series


References

Arfken, G. ``Gibbs Phenomenon.'' §14.5 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 783-787, 1985.

Foster, J. and Richards, F. B. ``The Gibbs Phenomenon for Piecewise-Linear Approximation.'' Amer. Math. Monthly 98, 47-49, 1991.

Gibbs, J. W. ``Fourier Series.'' Nature 59, 200 and 606, 1899.

Hewitt, E. and Hewitt, R. ``The Gibbs-Wilbraham Phenomenon: An Episode in Fourier Analysis.'' Arch. Hist. Exact Sci. 21, 129-160, 1980.

Sansone, G. ``Gibbs' Phenomenon.'' §2.10 in Orthogonal Functions, rev. English ed. New York: Dover, pp. 141-148, 1991.


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