Concepedia

Chebyshev Polynomial Representation

Chebyshev Polynomial Representation is a mathematical approximation method that uses orthogonal polynomials defined on the interval [-1, 1] with minimal maximum error to efficiently encode high-precision ephemeris data as a series of weighted Chebyshev basis functions.

844

Publications

37.4K

Citations

1.4K

Authors

675

Institutions

Publications per year

2017–2026

160

Parents

Publications

844

Wavelets on graphs via spectral graph theory

David K. Hammond, Pierre Vandergheynst, Rémi Gribonval · Applied and Computational Harmonic Analysis · 2010 · 2.2K citations · Full text

, , +16

Accurate solution of the Orr–Sommerfeld stability equation

Steven A. Orszag · Journal of Fluid Mechanics · 1971 · 1.5K citations

, , +16

Tchebycheff Systems: With Applications in Analysis and Statistics

Demetrios A. Kappos, Samuel Karlin, W. J. Studden · Revue de l Institut International de Statistique / Review of the International Statistical Institute · 1967 · 1.2K citations

, , +6

Chebyshev polynomials in numerical analysis

I.G. Nidekker · USSR Computational Mathematics and Mathematical Physics · 1969 · 704 citations

, , +13

Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision

Andrew M. Childs, Robin Kothari, Rolando D. Somma · SIAM Journal on Computing · 2017 · 633 citations · Full text

, , +14

1–5 of 844

Authors

1.4K

  1. JP
    John P. Boyd

    University of Michigan, United States

    19 publications · 880 citations

    16

    h-index

  2. WM
    W. M. Abd‐Elhameed

    Cairo University, Egypt

    12 publications · 414 citations

    12

    h-index

  3. DS
    Dae San Kim

    Sogang University, South Korea

    11 publications · 185 citations

    10

    h-index

  4. TK
    Taekyun Kim

    Kwangwoon University, South Korea

    10 publications · 168 citations

    10

    h-index

  5. YH
    Y. H. Youssri

    Cairo University, Egypt

    7 publications · 238 citations

    7

    h-index

1–5 of 1.4K

Institutions

675

  1. University of Michigan

    Ann Arbor, United States

    16 h-index

    33 publications

    1.7K citations

  2. Cairo University

    Giza, Egypt

    13 h-index

    21 publications

    808 citations

  3. Kwangwoon University

    Seoul, South Korea

    10 h-index

    19 publications

    308 citations

  4. Sogang University

    Seoul, South Korea

    10 h-index

    13 publications

    216 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    15 publications

    429 citations

  6. KU Leuven

    Leuven, Belgium

    8 h-index

    12 publications

    417 citations

  7. National Sun Yat-sen University

    Kaohsiung City, Taiwan

    7 h-index

    15 publications

    543 citations

  8. National Academy of Sciences of Ukraine

    Kyiv, Ukraine

    7 h-index

    9 publications

    137 citations

1–8 of 675

Venues

  1. Mathematics of Computation

    MCOM · 42 publications · 1.8K citations

    23

    h-index

  2. Journal of Approximation Theory

    31 publications · 1.1K citations

    19

    h-index

  3. Journal of Computational and Applied Mathematics

    28 publications · 904 citations

    19

    h-index

  4. Applied Mathematics and Computation

    26 publications · 952 citations

    19

    h-index

  5. Journal of Computational Physics

    21 publications · 1.6K citations

    17

    h-index

1–5