Gibbs Phenomenon

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

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.

• Safe
• Sagitta
• Saint Andrew's Cross
• Saint Anthony's Cross
• Saint Petersburg Paradox
• Sal
• Salamin Formula
• Salem Constants
• Salesman Problem
• Salient Point
• Salinon
• Salmon's Theorem
• Saltus
• Sample Proportion
• Sample Space
• Sample Variance
• Sampling
• Sampling Function
• Sampling Theorem
• Sandwich Theorem
• San Marco Fractal
• Sard's Theorem
• Sarkovskii's Theorem
• Sarrus Linkage
• Sarrus Number