Concepedia

Rational Approximation Theory

Rational Approximation Theory is a branch of number theory that systematically studies the approximation of real numbers by rational numbers, distinguished by its focus on the precision, efficiency, and optimality of such approximations within bounded denominators, particularly as manifested in structures such as Farey sequences.

830

Publications

37.2K

Citations

1.1K

Authors

581

Institutions

Publications per year

2017–2026

72

Parents

Publications

830

Rational approximation of frequency domain responses by vector fitting

Bjørn Gustavsen, A. Semlyen · IEEE Transactions on Power Delivery · 1999 · 3.2K citations

, , +14

Rational approximations of the integral of the Arrhenius function

Gunnar Senum, Ralph T. Yang · Journal of thermal analysis · 1977 · 789 citations

, , +13

Improving the Pole Relocating Properties of Vector Fitting

Bjørn Gustavsen · IEEE Transactions on Power Delivery · 2006 · 739 citations

, , +13

Is Gauss Quadrature Better than Clenshaw–Curtis?

Lloyd N. Trefethen · SIAM Review · 2008 · 631 citations

, , +17

Rational approximations to algebraic numbers

K. F. Roth · Mathematika · 1955 · 587 citations

, , +11

1–5 of 830

Authors

1.1K

  1. LN
    Lloyd N. Trefethen

    University of Oxford, United Kingdom

    13 publications · 1.7K citations

    12

    h-index

  2. BG
    Bjørn Gustavsen

    SINTEF, Norway

    12 publications · 5.2K citations

    12

    h-index

  3. GD
    G. D. Taylor

    Colorado State University, United States

    14 publications · 273 citations

    11

    h-index

  4. JL
    J. L. Walsh

    Munster Technological University, Ireland

    10 publications · 228 citations

    10

    h-index

  5. LB
    Laurent Baratchart

    Institut national de recherche en sciences et technologies du numérique, France

    8 publications · 169 citations

    8

    h-index

1–5 of 1.1K

Institutions

581

  1. SINTEF

    Trondheim, Norway

    13 h-index

    14 publications

    2.2K citations

  2. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    10 h-index

    20 publications

    616 citations

  3. Universidad de Extremadura

    Badajoz, Spain

    10 h-index

    21 publications

    419 citations

  4. University of Oxford

    Oxford, United Kingdom

    9 h-index

    13 publications

    1.9K citations

  5. University of Cambridge

    Cambridge, United Kingdom

    9 h-index

    16 publications

    704 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    12 publications

    235 citations

  7. Stanford University

    Stanford, United States

    8 h-index

    10 publications

    376 citations

  8. University of Antwerp

    Antwerp, Belgium

    8 h-index

    19 publications

    944 citations

1–8 of 581

Venues

  1. Journal of Approximation Theory

    38 publications · 959 citations

    20

    h-index

  2. Mathematics of the USSR-Sbornik

    23 publications · 1.2K citations

    19

    h-index

  3. SIAM Journal on Numerical Analysis

    25 publications · 984 citations

    16

    h-index

  4. Mathematics of Computation

    MCOM · 18 publications · 610 citations

    14

    h-index

  5. Pacific Journal of Mathematics

    15 publications · 482 citations

    14

    h-index

1–5