Concepedia

Oscillatory Integral Evaluation

Oscillatory Integral Evaluation is a numerical integration technique that specializes in accurately approximating integrals involving rapidly oscillating functions by exploiting their intrinsic frequency and phase behavior to mitigate cancellation errors inherent in standard quadrature methods.

320

Publications

14K

Citations

433

Authors

262

Institutions

Publications per year

2017–2026

41

Parents

Publications

320

Efficient quadrature of highly oscillatory integrals using derivatives

Arieh Iserles, Syvert P. Nørsett · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2005 · 366 citations

, , +15

Oscillatory integrals and multiplier problem for the disc

Lennart Carleson, Per Sjölin · Studia Mathematica · 1972 · 331 citations · Full text

, , +10

Bounds on Oscillatory Integral Operators Based on Multilinear Estimates

Jean Bourgain, Larry Guth · Geometric and Functional Analysis · 2011 · 311 citations

, , +8

On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation

Daan Huybrechs, Stefan Vandewalle · SIAM Journal on Numerical Analysis · 2006 · 290 citations · Full text

, , +16

Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations

David I. W. Levin · Mathematics of Computation · 1982 · 264 citations · Full text

, , +11

1–5 of 320

Authors

433

  1. SX
    Shuhuang Xiang

    Central South University, China

    24 publications · 636 citations

    18

    h-index

  2. AS
    Avram Sidi

    Technion – Israel Institute of Technology, Israel

    10 publications · 396 citations

    10

    h-index

  3. AI
    Arieh Iserles

    University of Cambridge, United Kingdom

    9 publications · 940 citations

    9

    h-index

  4. SZ
    Sakhi Zaman

    University of Engineering and Technology Peshawar, Pakistan

    9 publications · 180 citations

    9

    h-index

  5. HK
    Hongchao Kang

    Hangzhou Dianzi University, China

    8 publications · 169 citations

    8

    h-index

1–5 of 433

Institutions

262

  1. Central South University

    Changsha, China

    18 h-index

    46 publications

    1.3K citations

  2. University of Cambridge

    Cambridge, United Kingdom

    13 h-index

    14 publications

    1.4K citations

  3. University of Engineering and Technology Peshawar

    Peshawar, Pakistan

    10 h-index

    21 publications

    426 citations

  4. KU Leuven

    Leuven, Belgium

    10 h-index

    20 publications

    1.3K citations

  5. Technion – Israel Institute of Technology

    Haifa, Israel

    7 h-index

    9 publications

    290 citations

  6. National University of Defense Technology

    Changsha, China

    7 h-index

    19 publications

    506 citations

  7. Loughborough University

    Loughborough, United Kingdom

    7 h-index

    11 publications

    455 citations

  8. Princeton University

    Princeton, United States

    7 h-index

    9 publications

    943 citations

1–8 of 262

Venues

  1. Journal of Computational and Applied Mathematics

    37 publications · 1.4K citations

    23

    h-index

  2. Mathematics of Computation

    MCOM · 19 publications · 948 citations

    15

    h-index

  3. Applied Mathematics and Computation

    16 publications · 372 citations

    13

    h-index

  4. Journal of Computational Physics

    13 publications · 380 citations

    12

    h-index

  5. Applied Numerical Mathematics

    11 publications · 326 citations

    10

    h-index

1–5