KnowraGibbs phenomenonLinked fromLinked fromThe 10 pages that link to Gibbs phenomenon, each with the reason it gives.All 10Related 6Compared with 4Fourier seriesRelated: Truncating the series near a jump creates overshoot that does not vanish as more terms are added.Heaviside step functionRelated: Fourier approximations to the step retain overshoot near its discontinuity.Spectral methodRelated: Global expansions develop oscillations near shocks even as resolution increases.Josiah Willard GibbsCompared with: The phenomenon shares Gibbs’s name but belongs to Fourier analysis, not his thermodynamic theories.Approximation theoryCompared with: It demonstrates that convergence of an expansion need not eliminate local error near discontinuities.Parseval's identityCompared with: It illustrates that norm convergence can hold even when pointwise behavior near jumps remains poor.Fejér's theoremCompared with: Averaging suppresses oscillatory overshoot, though the theorem assumes continuity.Rectangular functionRelated: The pulse's abrupt edges produce ringing in truncated Fourier representations.Filter (signal processing)Related: It explains why sharp spectral truncation can produce ringing around abrupt signal changes.Stigler's law of eponymyRelated: Henry Wilbraham described the effect before it became associated with Josiah Willard Gibbs.