Concepedia

Exponential Asymptotics

Exponential Asymptotics is a mathematical methodology within singular perturbation theory that captures beyond-all-orders exponential contributions in asymptotic expansions to resolve fine-scale solution behavior near singularities.

677

Publications

30.9K

Citations

1K

Authors

561

Institutions

Publications per year

2017–2026

64

Parents

Publications

677

Asymptotic expansion of Feynman integrals near threshold

Vladimir A. Smirnov · Nuclear Physics B · 1998 · 989 citations · Full text

, , +10

Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

Percy Deift, T. Kriecherbauer, K. T-R McLaughlin et al. · Communications on Pure and Applied Mathematics · 1999 · 850 citations

, , +13

Asymptotic probabilities and differential equations

S. R. S. Varadhan · Communications on Pure and Applied Mathematics · 1966 · 464 citations

, , +13

Uniform asymptotic smoothing of Stokes’s discontinuities

Michael Berry · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1989 · 334 citations

, , +11

Asymptotic expansions and analytic continuations for a class of Barnes-integrals

B. L. J. Braaksma · French digital mathematics library (Numdam) · 1964 · 288 citations

, , +8

1–5 of 677

Authors

1K

  1. SJ
    S. Jonathan Chapman

    University of Oxford, United Kingdom

    12 publications · 601 citations

    12

    h-index

  2. FW
    F. W. J. Olver

    National Institute of Standards and Technology, United States

    7 publications · 543 citations

    7

    h-index

  3. RB
    R. B. Paris

    Abertay University, United Kingdom

    6 publications · 217 citations

    6

    h-index

  4. MB
    Michael Berry

    Bristol Robotics Laboratory, United Kingdom

    6 publications · 766 citations

    6

    h-index

  5. CJ
    Christopher J. Lustri

    Macquarie University, Australia

    5 publications · 113 citations

    5

    h-index

1–5 of 1K

Institutions

561

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    26 publications

    1.1K citations

  2. University of Oxford

    Oxford, United Kingdom

    10 h-index

    14 publications

    784 citations

  3. Princeton University

    Princeton, United States

    9 h-index

    11 publications

    1.8K citations

  4. Sapienza University of Rome

    Rome, Italy

    8 h-index

    12 publications

    380 citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    10 publications

    650 citations

  6. University of Bath

    Bath, United Kingdom

    8 h-index

    11 publications

    316 citations

  7. Uppsala University

    Uppsala, Sweden

    7 h-index

    8 publications

    237 citations

  8. Bristol Robotics Laboratory

    Bristol, United Kingdom

    7 h-index

    9 publications

    1.1K citations

1–8 of 561

Venues

  1. 18

    h-index

  2. SIAM Journal on Mathematical Analysis

    21 publications · 658 citations

    17

    h-index

  3. Journal of Differential Equations

    19 publications · 1.1K citations

    16

    h-index

  4. SIAM Journal on Applied Mathematics

    12 publications · 523 citations

    11

    h-index

  5. Archive for Rational Mechanics and Analysis

    11 publications · 606 citations

    11

    h-index

1–5