Concepedia

Spectral Methods

Spectral Methods is a numerical technique for solving differential equations by representing the solution as a sum of basis functions with global support, typically trigonometric or orthogonal polynomials, distinguished from other discretization methods by its exponential convergence rate for smooth solutions.

8.1K

Publications

472K

Citations

10.8K

Authors

2.8K

Institutions

Publications per year

2017–2026

1.5K

Variants

Spectral Numerical Methods

Parents

Children

Publications

8.1K

The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis

Norden E. Huang, Steven Long, Man‐Li C. Wu et al. · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 1998 · 23.3K citations · Full text

, , +16

A tutorial on spectral clustering

Ulrike von Luxburg · Statistics and Computing · 2007 · 10.3K citations · Full text

, , +10

On Spectral Clustering: Analysis and an algorithm

Andrew Y. Ng, Michael I. Jordan, Yair Weiss · 2001 · 7.8K citations

, , +10

EasySpin, a comprehensive software package for spectral simulation and analysis in EPR

Stefan Stoll, Arthur Schweiger · Journal of Magnetic Resonance · 2005 · 6.4K citations

, , +13

Spectral Analysis and its Applications.

Walter Freiberger, Gwilym M. Jenkins, Donald G. Watts · Journal of the American Statistical Association · 1969 · 5K citations

, , +9

1–5 of 8.1K

Authors

10.8K

  1. JS
    Jie Shen

    Purdue University West Lafayette, United States

    56 publications · 4.8K citations

    36

    h-index

  2. EH
    E. H. Doha

    Cairo University, Egypt

    58 publications · 2.9K citations

    33

    h-index

  3. WM
    W. M. Abd‐Elhameed

    Cairo University, Egypt

    44 publications · 1.5K citations

    28

    h-index

  4. GE
    George Em Karniadakis

    Brown University, United States

    30 publications · 2.8K citations

    27

    h-index

  5. MD
    Mehdi Dehghan

    Amirkabir University of Technology, Iran

    31 publications · 1.6K citations

    26

    h-index

1–5 of 10.8K

Institutions

2.8K

  1. Centre National de la Recherche Scientifique

    Paris, France

    45 h-index

    290 publications

    14.2K citations

  2. Cairo University

    Giza, Egypt

    41 h-index

    173 publications

    6.6K citations

  3. California Institute of Technology

    Pasadena, United States

    37 h-index

    99 publications

    13.3K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    36 h-index

    109 publications

    11.5K citations

  5. Brown University

    Providence, United States

    35 h-index

    92 publications

    7.1K citations

  6. King Abdulaziz University

    Jeddah, Saudi Arabia

    35 h-index

    81 publications

    4.7K citations

  7. Beni-Suef University

    Banī Suwayf, Egypt

    33 h-index

    72 publications

    3.9K citations

  8. Imperial College London

    London, United Kingdom

    33 h-index

    113 publications

    14K citations

1–8 of 2.8K

Venues

  1. Journal of Computational Physics

    346 publications · 31.7K citations

    79

    h-index

  2. SIAM Journal on Numerical Analysis

    166 publications · 11.4K citations

    59

    h-index

  3. SIAM Journal on Scientific Computing

    127 publications · 10K citations

    51

    h-index

  4. Journal of Functional Analysis

    109 publications · 5.1K citations

    39

    h-index

  5. Mathematics of Computation

    MCOM · 93 publications · 8.5K citations

    38

    h-index

1–5