Concepedia

Gibbs Phenomenon

Gibbs Phenomenon is an oscillatory artifact in Fourier series approximations of piecewise continuous functions, characterized by persistent overshoots near discontinuities that do not diminish in magnitude with increasing number of terms.

281

Publications

12.4K

Citations

577

Authors

332

Institutions

Publications per year

2017–2026

42

Variants

Gibbs' PhenomenonGibbs-wilbraham Phenomenon

Parents

Publications

281

On the Gibbs Phenomenon and Its Resolution

David Gottlieb, Chi‐Wang Shu · SIAM Review · 1997 · 846 citations

, , +10

<i>Linear Differential Operators</i>

Cornelius Lanczos, J. Gillis · Physics Today · 1962 · 555 citations

, , +16

Groundwater chemistry and the Gibbs Diagram

Andres Marandi, Paul Shand · Applied Geochemistry · 2018 · 436 citations

, , +14

The Gibbs-Wilbraham phenomenon: An episode in fourier analysis

Edwin Hewitt, Robert E. Hewitt · Archive for History of Exact Sciences · 1979 · 354 citations

, , +11

On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function

David Gottlieb, Chi‐Wang Shu, Alex Solomonoff et al. · Journal of Computational and Applied Mathematics · 1992 · 256 citations

, , +8

1–5 of 281

Authors

577

  1. UA
    U. A. Rozikov

    National University of Uzbekistan, Uzbekistan

    7 publications · 333 citations

    7

    h-index

  2. DG
    David Gottlieb

    Westmead Hospital, Australia

    7 publications · 1.4K citations

    7

    h-index

  3. CS
    Chi‐Wang Shu

    Brown University, United States

    7 publications · 1.4K citations

    7

    h-index

  4. JJ
    Jae-Hun Jung

    University at Buffalo, State University of New York, United States

    4 publications · 268 citations

    4

    h-index

  5. AG
    Anne Gelb

    Arizona State University, United States

    4 publications · 225 citations

    4

    h-index

1–5 of 577

Institutions

332

  1. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    20 publications

    1K citations

  2. Brown University

    Providence, United States

    8 h-index

    13 publications

    1.5K citations

  3. Université Paris Cité

    Paris, France

    5 h-index

    7 publications

    178 citations

  4. National University of Uzbekistan

    Tashkent, Uzbekistan

    4 h-index

    5 publications

    184 citations

  5. Rutgers, The State University of New Jersey

    New Brunswick, United States

    4 h-index

    7 publications

    158 citations

  6. University of British Columbia

    Vancouver, Canada

    4 h-index

    6 publications

    449 citations

  7. École Normale Supérieure Paris-Saclay

    Gif-sur-Yvette, France

    3 h-index

    3 publications

    263 citations

  8. International Islamic University Malaysia

    Kuala Lumpur, Malaysia

    3 h-index

    4 publications

    81 citations

1–8 of 332

Venues

  1. Journal of Statistical Physics

    8 publications · 265 citations

    8

    h-index

  2. Mathematics of Computation

    MCOM · 8 publications · 329 citations

    8

    h-index

  3. Journal of Approximation Theory

    5 publications · 168 citations

    5

    h-index

  4. Theoretical and Mathematical Physics

    5 publications · 135 citations

    5

    h-index

  5. 5

    h-index

1–5